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Mathematische Zeitschrift, ISSN 1432-1823, 2017, Volume 289, Issue 1-2, pp. 445 - 454
The aim of this paper is to find some sufficient conditions for positivity of block matrices of positive operators... 
15A45 | Mathematics, general | Operator monotone function | Mathematics | 47A64 | Positive block matrix | 47A63 | Operator mean | MATHEMATICS | INEQUALITIES
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 08/2017, Volume 452, Issue 1, pp. 91 - 108
Journal Article
Advances in Applied Clifford Algebras, ISSN 0188-7009, 06/2017, Volume 27, Issue 2, pp. 1633 - 1646
In the present paper, we introduce the generalized form of (p, q) Baskakov-Durrmeyer Operators with Stancu type parameters... 
(p, q)-integers | (p, q)–Baskakov–Durrmeyer operators | Linear positive operator | APPROXIMATION THEOREMS | MATHEMATICS, APPLIED | (p, q)-Baskakov-Durrmeyer operators | PHYSICS, MATHEMATICAL
Journal Article
Duke mathematical journal, ISSN 0012-7094, 2015, Volume 164, Issue 15, pp. 2989 - 3004
We show that every operator system (and hence every unital operator algebra) has sufficiently many boundary representations to generate the C*-envelope. 
MATHEMATICS | MATRIX STATES | ALGEBRAS | REPRESENTATIONS | SPACES | PURE | 46L52 | dilations | operator system | Choquet boundary | boundary representation | 46L07 | unique extension property | 47A20 | completely positive maps | 47L55
Journal Article
Linear and Multilinear Algebra, ISSN 0308-1087, 12/2016, Volume 64, Issue 12, pp. 2463 - 2473
.... The well-known one-one correspondence between the class of operator monotone functions and operator connections declares that the obtained class represents the weighted logarithmic means... 
invariance of mean | positive operator | operator monotone function | operator mean | MATHEMATICS | Operators (mathematics) | Operators | Algebra | Monotone functions | Inequalities | Images | Joints
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 05/2013, Volume 401, Issue 1, pp. 307 - 316
Journal Article
Journal of inequalities and applications, ISSN 1029-242X, 2018, Volume 2018, Issue 1, pp. 1 - 20
In this paper, we study some complementary inequalities to Jensen’s inequality for self-adjoint operators, unital positive linear mappings, and real valued twice differentiable functions... 
positive linear mapping | convex function | Mathematics | 47A64 | Mond-Pečarić method | 47A63 | self-adjoint operator | 47B15 | converse of Jensen’s operator inequality | Analysis | Mathematics, general | 46L05 | Applications of Mathematics | converse of Jensen's operator inequality | QUASI-ARITHMETIC MEANS | MATHEMATICS | Mond-Pecaric method | MATHEMATICS, APPLIED | POSITIVE LINEAR-MAPS | CONVERSES | Research
Journal Article
Annali di Matematica Pura ed Applicata (1923 -), ISSN 0373-3114, 4/2019, Volume 198, Issue 2, pp. 381 - 398
In this paper, we generalize the definition of the quaternionic Monge–Ampère operator to some unbounded plurisubharmonic functions, and we prove that the quaternionic Monge... 
31C10 | 2U40 | Mathematics, general | Mathematics | Monge–Ampère operator | Quaternionic plurisubharmonic function | 32U15 | Positive current | MATHEMATICS | Monge-Ampere operator | POSITIVE CURRENTS | MATHEMATICS, APPLIED
Journal Article
Journal of Inequalities and Applications, ISSN 1025-5834, 12/2018, Volume 2018, Issue 1, pp. 1 - 6
In this paper, we refine and generalize some weighted arithmetic–geometric operator mean inequalities due to Lin (Stud. Math. 215:187–194, 2013) and Zhang (Banach J. Math. Anal. 9:166–172, 2015) as follows... 
Positive linear map | Weighted geometric operator mean | Weighted arithmetic operator mean | Analysis | Operator inequality | Mathematics, general | Mathematics | Applications of Mathematics | 47A63 | 47A30 | MATHEMATICS | MATHEMATICS, APPLIED | Inequalities | Arithmetic | Research
Journal Article
Linear & multilinear algebra, ISSN 1563-5139, 2018, Volume 67, Issue 8, pp. 1567 - 1578
New sharp multiplicative reverses of the operator means inequalities are presented, with a simple discussion of squaring an operator inequality... 
Operator inequality | Secondary 46L05 | Pólya-Szegö inequality | positive linear map | Primary 47A63 | operator monotone function | Pólya–Szegö inequality | 47A60 | MATHEMATICS | YOUNG | Polya-Szego inequality | Monotone functions | Upper bounds | Inequalities
Journal Article
Journal of functional analysis, ISSN 0022-1236, 2018, Volume 274, Issue 2, pp. 605 - 658
Journal Article
Bulletin of the Malaysian Mathematical Sciences Society, ISSN 2180-4206, 2018, Volume 42, Issue 6, pp. 2985 - 3003
.... Recently, this fact has been proved for operator Jensen inequality. In this paper, we give some complementary inequalities for operator Jensen inequality in external form... 
Positive linear map | Concave function | Primary 47A63 | Operator inequality | Mathematics, general | Mathematics | Applications of Mathematics | MATHEMATICS | Operators (mathematics) | Convexity | Inequalities | Inequality
Journal Article
Journal of the London Mathematical Society, ISSN 0024-6107, 02/2017, Volume 95, Issue 1, pp. 73 - 93
.... Namely, our model is the equation (−Δ)psu=|u|ps∗−2u+λg(x,u)inΩu=0inRn∖Ω,where (−Δ)ps is the fractional p–Laplace operator, s∈(0,1), Ω... 
49J35 | 35A15 | 47G20 | 35S15 (primary) | 45G05 (secondary) | EXISTENCE | MATHEMATICS | MULTIPLICITY | ELLIPTIC-EQUATIONS | POSITIVE SOLUTIONS | SOBOLEV
Journal Article
Monatshefte für Mathematik, ISSN 0026-9255, 2/2019, Volume 188, Issue 2, pp. 369 - 385
...Monatsh Math (2019) 188:369–385 https://doi.org/10.1007/s00605-017-1124-0 On spectral properties of the Sturm–Liouville operator with power nonlinearity D. V... 
Ordinary nonlinear differential equation | Periodicity of solutions | Distribution of zeros | 34B15 | Mathematics | Sturm–Liouville theory | Nonlinear eigenvalue problem | 34L20 | 34L30 | Mathematics, general | Comparison theory | Isolated eigenvalues | Asymptotic analysis | EXISTENCE | Sturm-Liouville theory | MULTIPLICITY | POSITIVE SOLUTIONS | MATHEMATICS | WAVES | HELMHOLTZ-EQUATION
Journal Article
Linear & multilinear algebra, ISSN 1563-5139, 2018, Volume 67, Issue 5, pp. 1031 - 1036
We show the following result: Let A be a positive operator satisfying for some scalars m, M with and be a normalized positive linear map, then Besides, we prove... 
Operator inequality | Primary: 47A63 | log-convex functions | Kantorovich inequality | positive linear maps | Secondary: 46L05 | MATHEMATICS | Scalars | Mathematics - Functional Analysis
Journal Article
Journal of Inequalities and Applications, ISSN 1025-5834, 12/2014, Volume 2014, Issue 1, pp. 1 - 8
We introduce and investigate the notion of an operator P-class function. We show that every nonnegative operator convex function is of operator P-class, but the converse is not true in general... 
Hermite-Hadamard inequality | Analysis | P -class function | Mathematics, general | Mathematics | Applications of Mathematics | positive linear map | Jensen operator inequality | P-class function | MATHEMATICS | MATHEMATICS, APPLIED | INEQUALITY | QUASI-CONVEX FUNCTIONS | Operators | Inequalities
Journal Article
2006, ISBN 1402050070, 391
The only book that includes, besides the general theory of positive operators, a comprehensive study of the various compactness properties of positive operatorsThe material is presented in an easy... 
Positive operators | Applications of Mathematics | Game Theory, Economics, Social and Behav. Sciences | Mathematics of Computing | Analysis | Computer Science
eBook
Journal of Functional Analysis, ISSN 0022-1236, 02/2013, Volume 264, Issue 4, pp. 1049 - 1067
We make several contributions to our recent program investigating structural properties of algebras of operators on a Hilbert space... 
Noncommutative topology | Peak interpolation | Closed projection | Operator algebra | Operator with positive real part | Peak set | Proximinality | Accretive operator | Approximate identity | MULTIPLIERS | IDEALS | MATHEMATICS | OPEN PROJECTIONS | C-STAR-ALGEBRAS | Algebra
Journal Article
Communications in Partial Differential Equations, ISSN 0360-5302, 06/2018, Volume 43, Issue 6, pp. 859 - 892
...-Schrödinger operator on domains of containing the singularity 0, where and , the latter being the best constant in the fractional Hardy inequality... 
Critical exponent | nonlocal operators | Hardy inequalities | fractional Laplacian | MATHEMATICS | MATHEMATICS, APPLIED | INEQUALITIES | POSITIVE SOLUTIONS | EQUATIONS | SHARP CONSTANTS | SOBOLEV | Operators (mathematics) | Domains | Eigenvalues | Boundary value problems | Linear equations | Analysis of PDEs | Mathematics
Journal Article
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