Positivity, ISSN 1385-1292, 9/2017, Volume 21, Issue 3, pp. 1161 - 1172

...Positivity (2017) 21:1161–1172
DOI 10.1007/s11117-016-0458-5 Positivity
Conditionally positive deﬁnite kernels in Hilbert
C ∗ -modules
Mohammad Sal Moslehian 1...

Conditionally positive definite kernel | Operator Theory | Fourier Analysis | Potential Theory | 46L08 | Calculus of Variations and Optimal Control; Optimization | 46L05 | Mathematics | Kolmogorov respresentation | Econometrics | Positive definite kernel | Hilbert $$C^$$ C ∗ -module

Conditionally positive definite kernel | Operator Theory | Fourier Analysis | Potential Theory | 46L08 | Calculus of Variations and Optimal Control; Optimization | 46L05 | Mathematics | Kolmogorov respresentation | Econometrics | Positive definite kernel | Hilbert $$C^$$ C ∗ -module

Journal Article

Linear and Multilinear Algebra: Proceedings from the 2013 International Conference on Matrix Analysis and Applications, ISSN 0308-1087, 10/2015, Volume 63, Issue 10, pp. 1972 - 1980

Let
be positive definite
matrices. We present several reverse Heinz-type inequalities, in particular
where
is an arbitrary
matrix,
is Hilbert-Schmidt norm and...

Primary: 47A63 | Hadamard product | Secondary: 47A60 | Hilbert-Schmidt norm | Heinz inequality | operator mean | Hilbert–Schmidt norm | MATHEMATICS | Inequality | Norms | Algebra | Invariants | Inequalities | Images

Primary: 47A63 | Hadamard product | Secondary: 47A60 | Hilbert-Schmidt norm | Heinz inequality | operator mean | Hilbert–Schmidt norm | MATHEMATICS | Inequality | Norms | Algebra | Invariants | Inequalities | Images

Journal Article

The Electronic journal of linear algebra, 06/2017, Volume 32, pp. 172 - 183

Journal Article

Applicable analysis and discrete mathematics, ISSN 1452-8630, 2007, Volume 1, Issue 2, pp. 325 - 334

We prove the generalized Hyers-Ulam stability of the Cauchy functional equation f(x + y) = f(x) + f(y) and the quadratic functional equation f(x + y) + f(x -...

Integers | Mathematical theorems | Axioms | Mathematical analysis | Gajdas | Linear transformations | Mathematical functions | Mathematical inequalities | Banach space | Cauchy functional equation | Generalized Hyers-Ulam stability | Non-Archimedean space | Quadratic functional equation | p-adic field | MATHEMATICS | quadratic functional equation | MATHEMATICS, APPLIED | non-Archimedean space

Integers | Mathematical theorems | Axioms | Mathematical analysis | Gajdas | Linear transformations | Mathematical functions | Mathematical inequalities | Banach space | Cauchy functional equation | Generalized Hyers-Ulam stability | Non-Archimedean space | Quadratic functional equation | p-adic field | MATHEMATICS | quadratic functional equation | MATHEMATICS, APPLIED | non-Archimedean space

Journal Article

Canadian mathematical bulletin, ISSN 0008-4395, 12/2017, Volume 60, Issue 4, pp. 816 - 829

In this paper, we obtain some characterizations of the (strong) Birkhoff–James orthogonality for elements of Hilbert
${{C}^{*}}$
-modules and certain elements...

Hilbert C∗-module | Approximate orthogonality | Birkhoff-James orthogonality | Strong Birkhoff-James orthogonality | MATHEMATICS | Hilbert C-module | APPROXIMATELY PRESERVING ORTHOGONALITY | MATRICES | C-ASTERISK-MODULES | MAPPINGS | approximate orthogonality | BOUNDED LINEAR-OPERATORS | strong Birkhoff-James orthogonality

Hilbert C∗-module | Approximate orthogonality | Birkhoff-James orthogonality | Strong Birkhoff-James orthogonality | MATHEMATICS | Hilbert C-module | APPROXIMATELY PRESERVING ORTHOGONALITY | MATRICES | C-ASTERISK-MODULES | MAPPINGS | approximate orthogonality | BOUNDED LINEAR-OPERATORS | strong Birkhoff-James orthogonality

Journal Article

Mediterranean journal of mathematics, ISSN 1660-5454, 2017, Volume 14, Issue 5, pp. 1 - 18

... AG 2017
Norm Inequalities Related to the Heron
and Heinz Means
Yogesh Kapil, Cristian Conde, Mohammad Sal Moslehian,
Mandeep Singh and Mohammad Sababheh
Abstract...

unitarily invariant norm | normalized Jensen functional | Norm inequality | Mathematics, general | Mathematics | 47A64 | 15A60 | 47A30 | 47A63 | operator mean | Heinz inequality | MATHEMATICS | MATHEMATICS, APPLIED | REFINEMENTS | OPERATOR

unitarily invariant norm | normalized Jensen functional | Norm inequality | Mathematics, general | Mathematics | 47A64 | 15A60 | 47A30 | 47A63 | operator mean | Heinz inequality | MATHEMATICS | MATHEMATICS, APPLIED | REFINEMENTS | OPERATOR

Journal Article

Linear & multilinear algebra, ISSN 1563-5139, 2018, Volume 66, Issue 12, pp. 2493 - 2500

It is proved that for adjointable operators A and B between Hilbert
-modules, certain majorization conditions are always equivalent without any assumptions on...

range inclusion | majorization | Hilbert | module | Hilbert -module | 46L08 | 47A05 | MATHEMATICS | Hilbert C-module | FACTORIZATION | Operators | Modules

range inclusion | majorization | Hilbert | module | Hilbert -module | 46L08 | 47A05 | MATHEMATICS | Hilbert C-module | FACTORIZATION | Operators | Modules

Journal Article

Mathematical inequalities & applications, ISSN 1331-4343, 07/2018, Volume 21, Issue 3, pp. 739 - 757

The main goal of this article is to present several quadratic refinements and reverses of the well known Heinz inequality, for numbers and matrices, where the...

Positive matrices | Norm inequalities | Heinz means | Matrix means | norm inequalities | MATHEMATICS | matrix means | REFINEMENTS | INEQUALITIES | YOUNG | MATRICES | POSITIVE OPERATORS

Positive matrices | Norm inequalities | Heinz means | Matrix means | norm inequalities | MATHEMATICS | matrix means | REFINEMENTS | INEQUALITIES | YOUNG | MATRICES | POSITIVE OPERATORS

Journal Article

Linear & multilinear algebra, ISSN 1563-5139, 2018, Volume 67, Issue 11, pp. 2147 - 2158

We present a necessary and sufficient condition for the norm-parallelism of bounded linear operators on a Hilbert space. We also give a characterization of the...

norm-parallelism | Secondary 47L05 | Davis-Wielandt radius | Birkhoff-James orthogonality | numerical radius | Primary 46B20 | Davis–Wielandt radius | Birkhoff–James orthogonality | MATHEMATICS | INEQUALITIES | LOWER BOUNDS | MATRICES | ORTHOGONALITY | Orthogonality | Hilbert space | Linear operators

norm-parallelism | Secondary 47L05 | Davis-Wielandt radius | Birkhoff-James orthogonality | numerical radius | Primary 46B20 | Davis–Wielandt radius | Birkhoff–James orthogonality | MATHEMATICS | INEQUALITIES | LOWER BOUNDS | MATRICES | ORTHOGONALITY | Orthogonality | Hilbert space | Linear operators

Journal Article

Positivity, ISSN 1385-1292, 7/2018, Volume 22, Issue 3, pp. 701 - 710

... ∗ -modules
Mehdi Vosough 1 · Mohammad Sal Moslehian 1 ·
Qingxiang Xu 2
Received: 2 July 2017 / Accepted: 16 October 2017 / Published online: 24 October 2017
© Springer...

Orthogonal complement | Primary 46L08 | Operator equation | Mathematics | Closed range | Generalized inverse | Operator Theory | Fourier Analysis | Potential Theory | Secondary 47A05 | Calculus of Variations and Optimal Control; Optimization | Econometrics | Hilbert $$C^$$ C ∗ -module

Orthogonal complement | Primary 46L08 | Operator equation | Mathematics | Closed range | Generalized inverse | Operator Theory | Fourier Analysis | Potential Theory | Secondary 47A05 | Calculus of Variations and Optimal Control; Optimization | Econometrics | Hilbert $$C^$$ C ∗ -module

Journal Article

Aequationes mathematicae, ISSN 0001-9054, 6/2015, Volume 89, Issue 3, pp. 529 - 541

... Mathematicae
Approximate Roberts orthogonality
Ali Zamani and Mohammad Sal Moslehian
Abstract. In a real normed space we introduce two notions of approximate Roberts...

orthogonality preserving mapping | Roberts orthogonality | Analysis | Primary 46B20 | Secondary 46C05 | Mathematics | approximate orthogonality | Combinatorics | {\varepsilon}$$ ε -isometry | MATHEMATICS | MATHEMATICS, APPLIED | NORMED SPACES | STABILITY | MAPPINGS | epsilon-isometry | Mathematical problems | Approximations

orthogonality preserving mapping | Roberts orthogonality | Analysis | Primary 46B20 | Secondary 46C05 | Mathematics | approximate orthogonality | Combinatorics | {\varepsilon}$$ ε -isometry | MATHEMATICS | MATHEMATICS, APPLIED | NORMED SPACES | STABILITY | MAPPINGS | epsilon-isometry | Mathematical problems | Approximations

Journal Article

Linear and Multilinear Algebra, ISSN 0308-1087, 08/2015, Volume 63, Issue 8, pp. 1678 - 1692

The Callebaut inequality says that
where
are positive invertible operators, and
and
are an operator mean and its dual in the sense of Kabo and Ando,...

Callebaut inequality | Primary: 47A63 | Mond-Pečarić method | operator geometric mean | Secondary: 15A60 | Hadamard product | operator mean | Mond–Pečarić method | MATHEMATICS | Mond-Pecaric method | CAUCHY-SCHWARZ INEQUALITY | 47A60 | Inequality | Operators | Hilbert space | Algebra | Inequalities | Images

Callebaut inequality | Primary: 47A63 | Mond-Pečarić method | operator geometric mean | Secondary: 15A60 | Hadamard product | operator mean | Mond–Pečarić method | MATHEMATICS | Mond-Pecaric method | CAUCHY-SCHWARZ INEQUALITY | 47A60 | Inequality | Operators | Hilbert space | Algebra | Inequalities | Images

Journal Article

Positivity : an international journal devoted to the theory and applications of positivity in analysis, ISSN 1572-9281, 2018, Volume 22, Issue 5, pp. 1255 - 1263

...Positivity (2018) 22:1255–1263
https://doi.org/10.1007/s11117-018-0571-8 Positivity
Operator maps of Jensen-type
Frank Hansen 1 · Mohammad Sal Moslehian 2...

Secondary 47B10 | Operator Theory | Fourier Analysis | Jensen’s operator inequality | Potential Theory | Calculus of Variations and Optimal Control; Optimization | Primary 47A63 | Mathematics | Convex operator function | Econometrics | 47A30 | MATHEMATICS | Jensen's operator inequality | CONVEX-FUNCTIONS | INEQUALITY | Hilbert space | Maps | Quantum theory | Linear operators

Secondary 47B10 | Operator Theory | Fourier Analysis | Jensen’s operator inequality | Potential Theory | Calculus of Variations and Optimal Control; Optimization | Primary 47A63 | Mathematics | Convex operator function | Econometrics | 47A30 | MATHEMATICS | Jensen's operator inequality | CONVEX-FUNCTIONS | INEQUALITY | Hilbert space | Maps | Quantum theory | Linear operators

Journal Article

Linear algebra and its applications, ISSN 0024-3795, 2015, Volume 471, pp. 46 - 53

We show that if T=H+iK is the Cartesian decomposition of T∈B(H), then for α,β∈R, supα2+β2=1‖αH+βK‖=w(T). We then apply it to prove that if A,B,X∈B(H) and...

Cartesian decomposition | Triangle inequality | Numerical radius | Positive operator | MATHEMATICS | HILBERT-SPACE OPERATORS | MATHEMATICS, APPLIED | EQUALITY | NORM

Cartesian decomposition | Triangle inequality | Numerical radius | Positive operator | MATHEMATICS | HILBERT-SPACE OPERATORS | MATHEMATICS, APPLIED | EQUALITY | NORM

Journal Article

Infinite dimensional analysis, quantum probability, and related topics, ISSN 0219-0257, 03/2018, Volume 21, Issue 1

We establish a noncommutative Blackwell-Ross inequality for supermartingales under a suitable condition which generalizes Khan's work to the noncommutative...

martingale | trace | Noncommutative probability space | Blackwell-Ross martingale inequality | MATHEMATICS, APPLIED | SPACES | STATISTICS & PROBABILITY | PHYSICS, MATHEMATICAL | RANDOM-VARIABLES | SUMS

martingale | trace | Noncommutative probability space | Blackwell-Ross martingale inequality | MATHEMATICS, APPLIED | SPACES | STATISTICS & PROBABILITY | PHYSICS, MATHEMATICAL | RANDOM-VARIABLES | SUMS

Journal Article

Acta Applicandae Mathematicae, ISSN 0167-8019, 1/2008, Volume 100, Issue 2, pp. 187 - 199

...Acta Appl Math (2008) 100: 187–199
DOI 10.1007/s10440-007-9179-x
T ernary Derivations, Stability and Physical Aspects
Mohammad Sal Moslehian
Received: 18...

Ternary derivation | 39B8 | Mathematical and Computational Physics | Generalized Hyers–Ulam–Rassias stability | Superstability | Ternary algebra | Mathematics | 39B52 | 17A36 | Mechanics | Mathematics, general | Generalized Jensen functional equation | 81T60 | 17A40 | Computer Science, general | Tri-module | Statistical Physics | 46H25 | Generalized Hyers-Ulam-Rassias stability | generalized Hyers-Ulam-Rassias stability | YANG-BAXTER EQUATION | MATHEMATICS, APPLIED | ALGEBRAS | ternary algebra | ternary derivation | MAPPINGS | superstability | TRIPLE PRODUCTS | generalized Jensen functional equation | tri-module | ULAM-RASSIAS STABILITY | Studies | Mathematical problems | Algebra | Vector space | Derivation | Stability | Vector spaces | Mathematical analysis | Modules

Ternary derivation | 39B8 | Mathematical and Computational Physics | Generalized Hyers–Ulam–Rassias stability | Superstability | Ternary algebra | Mathematics | 39B52 | 17A36 | Mechanics | Mathematics, general | Generalized Jensen functional equation | 81T60 | 17A40 | Computer Science, general | Tri-module | Statistical Physics | 46H25 | Generalized Hyers-Ulam-Rassias stability | generalized Hyers-Ulam-Rassias stability | YANG-BAXTER EQUATION | MATHEMATICS, APPLIED | ALGEBRAS | ternary algebra | ternary derivation | MAPPINGS | superstability | TRIPLE PRODUCTS | generalized Jensen functional equation | tri-module | ULAM-RASSIAS STABILITY | Studies | Mathematical problems | Algebra | Vector space | Derivation | Stability | Vector spaces | Mathematical analysis | Modules

Journal Article

Houston journal of mathematics, ISSN 0362-1588, 2013, Volume 39, Issue 1, pp. 177 - 189

We present several matrix and operator inequalities of Hermite-Hadamard type. We first establish a majorization version for monotone convex functions on...

Eigenvalue | Mond-Pecaric method | Convex function | Operator convex function | Hermite-Hadamard inequality | Majorization | MATHEMATICS | majorization | eigenvalue

Eigenvalue | Mond-Pecaric method | Convex function | Operator convex function | Hermite-Hadamard inequality | Majorization | MATHEMATICS | majorization | eigenvalue

Journal Article

QUARTERLY JOURNAL OF MATHEMATICS, ISSN 0033-5606, 06/2019, Volume 70, Issue 2, pp. 379 - 393

We introduce the relation rho(lambda)-orthogonality in the setting of normed spaces as an extension of some orthogonality relations based on norm derivatives...

MATHEMATICS | MAPS | MAPPINGS

MATHEMATICS | MAPS | MAPPINGS

Journal Article

Mathematica Slovaca, ISSN 0139-9918, 02/2015, Volume 65, Issue 1, pp. 179 - 190

We study the operator Q-class functions, present some Hermite- Hadamard inequalities for operator Q-class functions and give some Kantorovich and Jensen type...

convex function | Kantorovich inequality | positive linear map | Jensen operator inequality | operator Q-class function | SPACE | MATHEMATICS | Inequalities (Mathematics) | Functions | Functional equations | Analysis

convex function | Kantorovich inequality | positive linear map | Jensen operator inequality | operator Q-class function | SPACE | MATHEMATICS | Inequalities (Mathematics) | Functions | Functional equations | Analysis

Journal Article

Linear and Multilinear Algebra, ISSN 0308-1087, 12/2016, Volume 64, Issue 12, pp. 2463 - 2473

In this paper, we obtain a new class of functions, which is developed via the Hermite-Hadamard inequality for convex functions. The well-known one-one...

invariance of mean | positive operator | operator monotone function | operator mean | MATHEMATICS | Operators (mathematics) | Operators | Algebra | Monotone functions | Inequalities | Images | Joints

invariance of mean | positive operator | operator monotone function | operator mean | MATHEMATICS | Operators (mathematics) | Operators | Algebra | Monotone functions | Inequalities | Images | Joints

Journal Article

No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.