Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 10/2015, Volume 430, Issue 2, pp. 830 - 844

Let be a non-zero complex number, and let be a not necessarily linear bijection between two von Neumann algebras, one of which has no central abelian...

Isomorphism | Maps preserving Jordan triple η-⁎-product | von Neumann algebras | Von Neumann algebras | Maps preserving Jordan triple η--product

Isomorphism | Maps preserving Jordan triple η-⁎-product | von Neumann algebras | Von Neumann algebras | Maps preserving Jordan triple η--product

Journal Article

Journal of Algebra, ISSN 0021-8693, 02/2019, Volume 520, pp. 237 - 275

Let be the form of degree 4 and the alternating bilinear form that together give rise to a Freudenthal triple system when the characteristic of is different...

Exceptional group | Freudenthal triple system | Cubic norm structure | LIE-ALGEBRAS | MATHEMATICS | ELEMENTS | MODULE | JORDAN ALGEBRAS

Exceptional group | Freudenthal triple system | Cubic norm structure | LIE-ALGEBRAS | MATHEMATICS | ELEMENTS | MODULE | JORDAN ALGEBRAS

Journal Article

3.
Full Text
Piecewise ⁎-homomorphisms and Jordan maps on C⁎-algebras and factor von Neumann algebras

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 06/2018, Volume 462, Issue 1, pp. 1014 - 1031

We investigate maps between -algebras that are well behaved with respect to mutually commuting elements. We contribute to the Mackey–Gleason problem by showing...

Mackey–Gleason problem | Jordan type maps on [formula omitted]-algebras | Piecewise isomorphisms | algebras | Jordan type maps on C | MATHEMATICS | Mackey-Gleason problem | MATHEMATICS, APPLIED | UNITARY GROUPS | Jordan type maps on C-algebras | TRIPLE ENDOMORPHISMS | ISOMETRIES

Mackey–Gleason problem | Jordan type maps on [formula omitted]-algebras | Piecewise isomorphisms | algebras | Jordan type maps on C | MATHEMATICS | Mackey-Gleason problem | MATHEMATICS, APPLIED | UNITARY GROUPS | Jordan type maps on C-algebras | TRIPLE ENDOMORPHISMS | ISOMETRIES

Journal Article

Linear Algebra and Its Applications, ISSN 0024-3795, 12/2017, Volume 535, pp. 1 - 11

Surjective Jordan maps and Jordan triple maps on are characterized.

Jordan maps | Jordan triple maps | MATHEMATICS | MATHEMATICS, APPLIED | AUTOMORPHISMS | MATRIX ALGEBRAS | ADDITIVITY | OPERATOR-ALGEBRAS | PRODUCT HOMOMORPHISMS

Jordan maps | Jordan triple maps | MATHEMATICS | MATHEMATICS, APPLIED | AUTOMORPHISMS | MATRIX ALGEBRAS | ADDITIVITY | OPERATOR-ALGEBRAS | PRODUCT HOMOMORPHISMS

Journal Article

Acta Mathematica Sinica, English Series, ISSN 1439-8516, 6/2015, Volume 31, Issue 6, pp. 953 - 972

Let X 1 and X 2 be complex Banach spaces with dimension at least three, A 1 and A 2 be standard operator algebras on X 1 and X 2, respectively. For k ≥ 2, let...

47B49 | Peripheral spectrum | generalized Jordan products | Mathematics, general | 47A12 | Mathematics | Banach spaces | standard operator algebras | 47L10 | MATHEMATICS | MATHEMATICS, APPLIED | THEOREM | ISOMORPHISMS | MAPPINGS | BANACH-ALGEBRAS | LINEAR-MAPS | Algebra | Studies | Theorems | Mathematical models | Operators | Maps | Unity | Mathematical analysis | Texts | Banach space | Standards | Stands

47B49 | Peripheral spectrum | generalized Jordan products | Mathematics, general | 47A12 | Mathematics | Banach spaces | standard operator algebras | 47L10 | MATHEMATICS | MATHEMATICS, APPLIED | THEOREM | ISOMORPHISMS | MAPPINGS | BANACH-ALGEBRAS | LINEAR-MAPS | Algebra | Studies | Theorems | Mathematical models | Operators | Maps | Unity | Mathematical analysis | Texts | Banach space | Standards | Stands

Journal Article

Communications in Algebra, ISSN 0092-7872, 07/2007, Volume 35, Issue 8, pp. 2472 - 2486

Absolute valued triple system are the natural ternary extension of absolute valued algebras. In this article we classify strongly power-associative absolute...

Alternative algebras | 17C30 | Triality | Absolute values | 17A40 | Structure group of a Jordan and an alternative algebra | Triple systems | 17A80 | 17D05 | MATHEMATICS | TERNARY COMPOSITION ALGEBRAS | absolute values | triple systems | INFINITE DIMENSION | alternative algebras | CLASSIFICATION | structure group of a Jordan and an alternative algebra | triality | HERMITIAN-MANIFOLDS

Alternative algebras | 17C30 | Triality | Absolute values | 17A40 | Structure group of a Jordan and an alternative algebra | Triple systems | 17A80 | 17D05 | MATHEMATICS | TERNARY COMPOSITION ALGEBRAS | absolute values | triple systems | INFINITE DIMENSION | alternative algebras | CLASSIFICATION | structure group of a Jordan and an alternative algebra | triality | HERMITIAN-MANIFOLDS

Journal Article

Archiv der Mathematik, ISSN 0003-889X, 2/2016, Volume 106, Issue 2, pp. 155 - 163

In this paper we determine the structure of all so-called generalized isometries of the special unitary group which are transformations that respect any member...

15A86 | Mazur-Ulam theorems | Isometries | Mathematics, general | Mathematics | 15A60 | Special unitary group | Jordan triple automorphisms | MATHEMATICS | INVARIANT NORMS

15A86 | Mazur-Ulam theorems | Isometries | Mathematics, general | Mathematics | 15A60 | Special unitary group | Jordan triple automorphisms | MATHEMATICS | INVARIANT NORMS

Journal Article

8.
Full Text
On the Surjectivity of Generalized Isometries on the Positive Definite Cone of Matrices

Mediterranean Journal of Mathematics, ISSN 1660-5446, 8/2017, Volume 14, Issue 4, pp. 1 - 9

This short note is concerned with maps on the cone of positive definite matrices which preserve certain generalized distance measures. We mean sorts of...

isometries | preservers | Mathematics, general | 15B48 | generalized distance measures | Mathematics | divergences | Primary 47B49 | Positive definite matrices | MATHEMATICS | MATHEMATICS, APPLIED | MAPS | SPACES | JORDAN TRIPLE ENDOMORPHISMS | DENSITY OPERATORS | TRANSFORMATIONS

isometries | preservers | Mathematics, general | 15B48 | generalized distance measures | Mathematics | divergences | Primary 47B49 | Positive definite matrices | MATHEMATICS | MATHEMATICS, APPLIED | MAPS | SPACES | JORDAN TRIPLE ENDOMORPHISMS | DENSITY OPERATORS | TRANSFORMATIONS

Journal Article

Mathematische Zeitschrift, ISSN 0025-5874, 04/2006, Volume 252, Issue 4, pp. 883 - 897

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 05/2013, Volume 401, Issue 2, pp. 479 - 487

We study orthogonality preserving surjective linear maps from a unital -algebra with non-zero socle to a -algebra. In particular, we prove that, when has...

[formula omitted]-algebra | Socle | Jordan homomorphism | Linear preservers | C-algebra | MATHEMATICS | MATHEMATICS, APPLIED | AUTOMATIC-CONTINUITY | REGULARITY | TRIPLES | OPERATOR-ALGEBRAS | GENERALIZED INVERSES | Algebra

[formula omitted]-algebra | Socle | Jordan homomorphism | Linear preservers | C-algebra | MATHEMATICS | MATHEMATICS, APPLIED | AUTOMATIC-CONTINUITY | REGULARITY | TRIPLES | OPERATOR-ALGEBRAS | GENERALIZED INVERSES | Algebra

Journal Article

Integral Equations and Operator Theory, ISSN 0378-620X, 1/2009, Volume 63, Issue 1, pp. 47 - 93

We show that finitely subgraded Lie algebras of compact operators have invariant subspaces when conditions of quasinilpotence are imposed on certain components...

invariant subspace | Mathematics | Primary 47L70, 47A15 | compact operator | Jordan algebra | Secondary 47L10, 16W25 | Engel Lie algebra | Analysis | triangularization | Lie triple system | Graded Lie algebra | Cartan criterion | compact Banach algebra | Compact operator | Compact Banach algebra | Invariant subspace | Triangularization | RINGS | REGULAR AUTOMORPHISMS | MATHEMATICS | SEMIGROUPS | SPECTRAL-RADIUS

invariant subspace | Mathematics | Primary 47L70, 47A15 | compact operator | Jordan algebra | Secondary 47L10, 16W25 | Engel Lie algebra | Analysis | triangularization | Lie triple system | Graded Lie algebra | Cartan criterion | compact Banach algebra | Compact operator | Compact Banach algebra | Invariant subspace | Triangularization | RINGS | REGULAR AUTOMORPHISMS | MATHEMATICS | SEMIGROUPS | SPECTRAL-RADIUS

Journal Article

Linear Algebra and Its Applications, ISSN 0024-3795, 11/2015, Volume 484, pp. 379 - 395

Let be the algebra of all complex matrices, and fix a nonzero vector . We show that a map from into itself satisfies if and only if there exists an invertible...

Nonlinear preservers | Local spectrum | The single-valued extension property | Jordan product | MATHEMATICS, APPLIED | PERIPHERALLY-MULTIPLICATIVE SURJECTIONS | ALGEBRA ISOMORPHISMS | MATHEMATICS | RADIUS | OPERATOR | NORM PRESERVERS | MAPPINGS | LINEAR-MAPS | Algebra

Nonlinear preservers | Local spectrum | The single-valued extension property | Jordan product | MATHEMATICS, APPLIED | PERIPHERALLY-MULTIPLICATIVE SURJECTIONS | ALGEBRA ISOMORPHISMS | MATHEMATICS | RADIUS | OPERATOR | NORM PRESERVERS | MAPPINGS | LINEAR-MAPS | Algebra

Journal Article

Bulletin of the Iranian Mathematical Society, ISSN 1017-060X, 4/2018, Volume 44, Issue 2, pp. 437 - 456

We completely describe surjective maps preserving the peripheral local spectrum of Jordan product of operators. Let $$x_0 \in X$$ x0∈X and $$y_0 \in Y $$ y0∈Y...

Secondary 47A10 | Peripheral spectrum | 47A11 | Mathematics, general | Mathematics | Nonlinear preserver maps | Primary 47B49 | Jordan product | MATHEMATICS | RADIUS | UNIFORM ALGEBRA ISOMORPHISMS | MAPS | SURJECTIONS

Secondary 47A10 | Peripheral spectrum | 47A11 | Mathematics, general | Mathematics | Nonlinear preserver maps | Primary 47B49 | Jordan product | MATHEMATICS | RADIUS | UNIFORM ALGEBRA ISOMORPHISMS | MAPS | SURJECTIONS

Journal Article

Journal of Algebraic Combinatorics, ISSN 0925-9899, 12/2013, Volume 38, Issue 4, pp. 947 - 972

It is well known that a nilpotent n×n matrix B is determined up to conjugacy by a partition of n formed by the sizes of the Jordan blocks of B. We call this...

Nilpotent matrix | Partition | Commutator | Convex and Discrete Geometry | Mathematics | Order, Lattices, Ordered Algebraic Structures | Group Theory and Generalizations | Jordan type | Combinatorics | Computer Science, general | MATHEMATICS | ELEMENTS | TRIPLES | ARTINIAN ALGEBRAS | VARIETIES | PAIRS | Generic drugs | Questions and answers

Nilpotent matrix | Partition | Commutator | Convex and Discrete Geometry | Mathematics | Order, Lattices, Ordered Algebraic Structures | Group Theory and Generalizations | Jordan type | Combinatorics | Computer Science, general | MATHEMATICS | ELEMENTS | TRIPLES | ARTINIAN ALGEBRAS | VARIETIES | PAIRS | Generic drugs | Questions and answers

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 02/2017, Volume 446, Issue 1, pp. 18 - 37

We prove that the predual of any JBW -algebra is a complex 1-Plichko space and the predual of any JBW-algebra is a real 1-Plichko space. I.e., any such space...

Projectional skeleton | Weakly compactly generated space | Jordan algebra | Predual | 1-Plichko space | JBW-algebra | MATHEMATICS | MATHEMATICS, APPLIED | BANACH-SPACES | SETS

Projectional skeleton | Weakly compactly generated space | Jordan algebra | Predual | 1-Plichko space | JBW-algebra | MATHEMATICS | MATHEMATICS, APPLIED | BANACH-SPACES | SETS

Journal Article

Results in Mathematics, ISSN 1422-6383, 6/2018, Volume 73, Issue 2, pp. 1 - 13

Let $$\varOmega $$ Ω be a Jordan domain in $$\mathbb {C}$$ C , J an open arc of $$\partial \varOmega $$ ∂Ω and $$\phi : D\rightarrow \varOmega $$ ϕ:D→Ω a...

smoothness on the boundary | Jordan curve | Mathematics, general | Mathematics | Secondary 30H50 | Primary 30E99 | Riemann map | Poisson Kernel | Derivatives (Financial instruments)

smoothness on the boundary | Jordan curve | Mathematics, general | Mathematics | Secondary 30H50 | Primary 30E99 | Riemann map | Poisson Kernel | Derivatives (Financial instruments)

Journal Article

Numerical Functional Analysis and Optimization, ISSN 0163-0563, 08/2009, Volume 30, Issue 7-8, pp. 799 - 821

For any function φ from ℜ r to ℜ r , Tao and Gowda [ Math. Oper. Res. , 30 (2005), pp. 985-1004] introduced a corresponding nonlinear transformation R φ over a...

Relaxation transformation | 17C55 | Symmetric cone complementarity problem | Euclidean Jordan algebra | 90C33 | Smoothing algorithm | SYMMETRIC CONES | MATHEMATICS, APPLIED | INTERIOR-POINT ALGORITHMS | P-PROPERTIES | LINEAR TRANSFORMATIONS | Algebra | Algorithms | Mathematical analysis | Nonlinearity | Continuity | Mathematical models | Transformations | Optimization

Relaxation transformation | 17C55 | Symmetric cone complementarity problem | Euclidean Jordan algebra | 90C33 | Smoothing algorithm | SYMMETRIC CONES | MATHEMATICS, APPLIED | INTERIOR-POINT ALGORITHMS | P-PROPERTIES | LINEAR TRANSFORMATIONS | Algebra | Algorithms | Mathematical analysis | Nonlinearity | Continuity | Mathematical models | Transformations | Optimization

Journal Article

Journal of High Energy Physics, ISSN 1029-8479, 7/2019, Volume 2019, Issue 7, pp. 1 - 72

We study General Freudenthal Transformations (GFT) on black hole solutions in Einstein-Maxwell-Scalar (super)gravity theories with global symmetry of type E 7....

Supergravity Models | Black Holes | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Supersymmetry and Duality | Physics | Elementary Particles, Quantum Field Theory | DUALITY ROTATIONS | SPACES | JORDAN ALGEBRAS | ORBITS | CLASSIFICATION | EXCEPTIONAL GROUPS | N=2 SUPERGRAVITY | PHYSICS, PARTICLES & FIELDS | Parameters | Mathematical analysis | Black holes | Set theory | Entropy | Transformations | Dilatons | Supergravity | Invariants | Subgroups

Supergravity Models | Black Holes | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Supersymmetry and Duality | Physics | Elementary Particles, Quantum Field Theory | DUALITY ROTATIONS | SPACES | JORDAN ALGEBRAS | ORBITS | CLASSIFICATION | EXCEPTIONAL GROUPS | N=2 SUPERGRAVITY | PHYSICS, PARTICLES & FIELDS | Parameters | Mathematical analysis | Black holes | Set theory | Entropy | Transformations | Dilatons | Supergravity | Invariants | Subgroups

Journal Article

Communications in Algebra, ISSN 0092-7872, 04/2013, Volume 41, Issue 4, pp. 1514 - 1546

Two constructions are given of unfamiliar examples of infinite Jordan permutation groups. The examples are important to the classification of all infinite...

D-relation | C-relation | Betwenness relations | Semilinear order | Jordan group | MATHEMATICS | PERMUTATION-GROUPS | Algebra

D-relation | C-relation | Betwenness relations | Semilinear order | Jordan group | MATHEMATICS | PERMUTATION-GROUPS | Algebra

Journal Article

Journal of Geometry and Physics, ISSN 0393-0440, 2007, Volume 57, Issue 9, pp. 1941 - 1949

The large limits of the exceptional Jordan matrix models of Smolin and Ohwashi lead to Chern–Simons membrane Lagrangians which are suitable candidates for...

[formula omitted] theory | Jordan | Matrix models | Division algebras | Branes | M, F theory | STRINGS | MATHEMATICS, APPLIED | branes | SPACE-TIME | division algebras | FIELD | BOSONIC P-BRANES | matrix models | PHYSICS, MATHEMATICAL

[formula omitted] theory | Jordan | Matrix models | Division algebras | Branes | M, F theory | STRINGS | MATHEMATICS, APPLIED | branes | SPACE-TIME | division algebras | FIELD | BOSONIC P-BRANES | matrix models | PHYSICS, MATHEMATICAL

Journal Article

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