2014, Mathematical surveys and monographs, ISBN 9781470417109, Volume 200, vii, 240

Differential equations, Elliptic | Nonassociative rings and algebras -- Jordan algebras (algebras, triples and pairs) -- Jordan algebras (algebras, triples and pairs) | Nonassociative rings and algebras -- General nonassociative rings -- Division algebras | Differential geometry -- Global differential geometry -- Calibrations and calibrated geometries | Partial differential equations -- Elliptic equations and systems -- Nonlinear elliptic equations | Associative rings and algebras -- Algebras and orders -- Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) | Calculus of variations and optimal control; optimization -- Manifolds -- Minimal surfaces | Jordan algebras | Nonassociative rings

Book

2013, Mathematical surveys and monographs, ISBN 9780821898468, Volume 189, xiii, 336

Book

2015, Volume 652.

Conference Proceeding

2014, Graduate studies in mathematics, ISBN 1470418495, Volume 159, xiv, 229 pages

Geometry -- Linear incidence geometry -- Non-Desarguesian affine and projective planes | Geometry -- Linear incidence geometry -- General theory and projective geometries | Geometry -- Linear incidence geometry -- Configuration theorems | Geometry -- Ring geometry (Hjelmslev, Barbilian, etc.) -- Ring geometry (Hjelmslev, Barbilian, etc.) | Nonassociative algebras | Nonassociative rings and algebras -- Other nonassociative rings and algebras -- Alternative rings | Geometry, Projective | Geometry -- Linear incidence geometry -- Algebraization | Nonassociative rings and algebras -- Jordan algebras (algebras, triples and pairs) -- Jordan structures associated with other structures

Book

Linear algebra and its applications, ISSN 0024-3795, 12/2015, Volume 486, pp. 255 - 274

In 1990 Kantor introduced the conservative algebra W(n) of all algebras (i.e. bilinear maps) on the n-dimensional vector space...

Bilinear maps | Derivations | Lie algebra | Jordan algebra | Subalgebras | Conservative algebra | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Algebra | Mathematics - Rings and Algebras

Bilinear maps | Derivations | Lie algebra | Jordan algebra | Subalgebras | Conservative algebra | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Algebra | Mathematics - Rings and Algebras

Journal Article

International journal of theoretical physics, ISSN 0020-7748, 4/2018, Volume 57, Issue 4, pp. 1103 - 1119

Using a representation theorem of Erik Alfsen, Frederic Schultz, and Erling Størmer for special JB-algebras, we prove that a synaptic algebra is norm complete (i.e., Banach...

C-block | JB-algebra | Theoretical, Mathematical and Computational Physics | Baer property | GH-algebra | Quantum Physics | Rickart C ∗ -algebra | Jordan algebra | Physics | Elementary Particles, Quantum Field Theory | JC-algebra | AW ∗ -algebra | Convex effect algebra | Synaptic algebra | Orthomodular lattice | C ∗ -algebra | Order-unit normed space | Block | Physics, general | algebra | Rickart C | Physics, Multidisciplinary | Physical Sciences | Science & Technology | Algebra | Mathematics - Rings and Algebras

C-block | JB-algebra | Theoretical, Mathematical and Computational Physics | Baer property | GH-algebra | Quantum Physics | Rickart C ∗ -algebra | Jordan algebra | Physics | Elementary Particles, Quantum Field Theory | JC-algebra | AW ∗ -algebra | Convex effect algebra | Synaptic algebra | Orthomodular lattice | C ∗ -algebra | Order-unit normed space | Block | Physics, general | algebra | Rickart C | Physics, Multidisciplinary | Physical Sciences | Science & Technology | Algebra | Mathematics - Rings and Algebras

Journal Article

Journal of mathematical analysis and applications, ISSN 0022-247X, 01/2017, Volume 445, Issue 1, pp. 337 - 341

...⁎-algebras extends to a real-linear Jordan ⁎-isomorphism followed by multiplication operator by a fixed unitary element...

Isometries | Unit sphere | Faces | Jordan isomorphisms | Unitary group | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Isometries | Unit sphere | Faces | Jordan isomorphisms | Unitary group | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Journal Article

2013, Mathematical surveys and monographs, ISBN 9780821849378, Volume no. 191., viii, 276

Book

Journal of mathematical analysis and applications, ISSN 0022-247X, 06/2019, Volume 474, Issue 2, pp. 1498 - 1511

A Banach algebra A is said to be zero Lie product determined if every continuous bilinear functional φ:A×A→C satisfying φ(a,b)=0 whenever ab=ba is of the form φ(a,b)=ω(ab−ba) for some ω...

Zero Lie product determined Banach algebra | Weakly amenable Banach algebra | Jordan derivation | Property [formula omitted] | Cyclically amenable Banach algebra | Property B | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Zero Lie product determined Banach algebra | Weakly amenable Banach algebra | Jordan derivation | Property [formula omitted] | Cyclically amenable Banach algebra | Property B | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Journal Article

Reports on mathematical physics, ISSN 0034-4877, 02/2017, Volume 79, Issue 1, pp. 13 - 32

.... In this paper, we investigate the interplay among states on synaptic algebras and on its sub-structures...

81Q10 (46B40) | ℓ-group | extremal state | convex effect algebra | GH-algebra | order unit normed space | synaptic algebra | 81P10 | state | Jordan algebra | MV-algebra | Physical Sciences | Physics | Physics, Mathematical | Science & Technology | Algebra

81Q10 (46B40) | ℓ-group | extremal state | convex effect algebra | GH-algebra | order unit normed space | synaptic algebra | 81P10 | state | Jordan algebra | MV-algebra | Physical Sciences | Physics | Physics, Mathematical | Science & Technology | Algebra

Journal Article

Mathematische Nachrichten, ISSN 0025-584X, 08/2018, Volume 291, Issue 11-12, pp. 1629 - 1654

Jordan operator algebras are norm‐closed spaces of operators on a Hilbert space which are closed under the Jordan product...

noncommutative topology | JC‐algebra | approximate identity | M‐ideal | Primary: 17C65 | 47L30; Secondary: 46H10 | 46L07 | 46H70 | Jordan operator algebra | C∗‐envelope | hereditary subalgebra | states | 47L30 | 47L75 | real positivity | 46L70 | open projection | 47L05 | Jordan Banach algebra | 47L10 | operator spaces | C∗-envelope | JC-algebra | M-ideal | Physical Sciences | Mathematics | Science & Technology | Algebra

noncommutative topology | JC‐algebra | approximate identity | M‐ideal | Primary: 17C65 | 47L30; Secondary: 46H10 | 46L07 | 46H70 | Jordan operator algebra | C∗‐envelope | hereditary subalgebra | states | 47L30 | 47L75 | real positivity | 46L70 | open projection | 47L05 | Jordan Banach algebra | 47L10 | operator spaces | C∗-envelope | JC-algebra | M-ideal | Physical Sciences | Mathematics | Science & Technology | Algebra

Journal Article

2012, Cambridge tracts in mathematics, ISBN 1107016177, Volume 190, x, 261

...: the connection between Jordan and Lie theory via the Tits–Kantor–Koecher construction of Lie algebras...

Functional analysis | Jordan algebras | Geometry, Differential | Lie algebras

Functional analysis | Jordan algebras | Geometry, Differential | Lie algebras

Book

2005, Springer monographs in mathematics, ISBN 3540241701, xvi, 653

The theory of Lie algebras and algebraic groups has been an area of active research for the last 50 years...

Lie algebras | Mathematical physics | Representations of groups | Algebra

Lie algebras | Mathematical physics | Representations of groups | Algebra

Book

Journal of mathematical analysis and applications, ISSN 0022-247X, 06/2019, Volume 474, Issue 1, pp. 248 - 263

In a Euclidean Jordan algebra V of rank n which carries the trace inner product, to each element x we associate the eigenvalue vector λ(x...

Schur-convexity | Hölder type inequality | Euclidean Jordan algebra | Majorization | Positive transformation | Strong operator commutativity | Interpolation theorem | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Schur-convexity | Hölder type inequality | Euclidean Jordan algebra | Majorization | Positive transformation | Strong operator commutativity | Interpolation theorem | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Journal Article

Linear & multilinear algebra, ISSN 0308-1087, 06/2017, Volume 65, Issue 6, pp. 1142 - 1157

.... Also, we prove an analogue of Farkas' theorem for PI unital generalized Poisson algebras and PI unital algebras of Jordan brackets...

identity | algebra of Jordan brackets | Poisson algebra | Physical Sciences | Mathematics | Science & Technology | Algebra | Theorems | Brackets | Analogue | Mathematics - Rings and Algebras

identity | algebra of Jordan brackets | Poisson algebra | Physical Sciences | Mathematics | Science & Technology | Algebra | Theorems | Brackets | Analogue | Mathematics - Rings and Algebras

Journal Article

17.
Full Text
Nonlinear Maps Preserving the Jordan Triple 1- $$$$ ∗ -Product on Von Neumann Algebras

Complex analysis and operator theory, ISSN 1661-8262, 06/2016, Volume 11, Issue 1, pp. 109 - 117

In this paper, we investigate a bijective map
$$\Phi $$
Φ
between two von Neumann algebras, one of which has no central abelian projections, satisfying
$$\Phi...

Operator Theory | Von Neumann algebras | 47B48 | Analysis | Isomorphism | Mathematics, general | Mathematics | Jordan triple $$$$ ∗ -product | 46L10 | Jordan triple ∗ -product | Physical Sciences | Mathematics, Applied | Science & Technology | Algebra

Operator Theory | Von Neumann algebras | 47B48 | Analysis | Isomorphism | Mathematics, general | Mathematics | Jordan triple $$$$ ∗ -product | 46L10 | Jordan triple ∗ -product | Physical Sciences | Mathematics, Applied | Science & Technology | Algebra

Journal Article

Journal of inequalities and applications, ISSN 1025-5834, 2012, Volume 2012, Issue 1, pp. 273 - 273

In this paper, we investigate the superstability and the Hyers-Ulam stability of n-Jordan *-derivations on C*-algebras and JC*-algebras.

Hyers-Ulam stability | n-Jordan -derivations | algebra | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Hyers-Ulam stability | n-Jordan -derivations | algebra | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Journal Article

Journal of algebra, ISSN 0021-8693, 09/2017, Volume 486, pp. 360 - 395

...) in every triassociative (resp. tridendriform) algebra. These identities define Jordan trialgebras and post-Jordan algebras...

Triplicators | Linear algebra over prime fields | Polynomial identities | Trisuccessors | Representation theory of symmetric groups | Algebraic operads | Jordan algebras | Koszul duality | Computer algebra | Di- and tri-algebras | Pre- and post-Jordan algebras | Combinatorics of binary trees | Physical Sciences | Mathematics | Science & Technology | Algebra

Triplicators | Linear algebra over prime fields | Polynomial identities | Trisuccessors | Representation theory of symmetric groups | Algebraic operads | Jordan algebras | Koszul duality | Computer algebra | Di- and tri-algebras | Pre- and post-Jordan algebras | Combinatorics of binary trees | Physical Sciences | Mathematics | Science & Technology | Algebra

Journal Article

Linear & multilinear algebra, ISSN 1563-5139, 03/2018, Volume 67, Issue 6, pp. 1074 - 1102

Based on the relation between the notions of Lie triple systems and Jordan algebras, we introduce the n-ary Jordan algebras, an n-ary generalization of Jordan algebras obtained via the generalization...

non-commutative Jordan algebras | derivations | Lie triple systems | n-ary algebras | Cayley-Dickson construction | TKK construction | Jordan algebras | generalized Lie algebras | Cayley–Dickson construction | Physical Sciences | Mathematics | Science & Technology | Derivation | Algebra | Mathematics - Rings and Algebras

non-commutative Jordan algebras | derivations | Lie triple systems | n-ary algebras | Cayley-Dickson construction | TKK construction | Jordan algebras | generalized Lie algebras | Cayley–Dickson construction | Physical Sciences | Mathematics | Science & Technology | Derivation | Algebra | Mathematics - Rings and Algebras

Journal Article

No results were found for your search.

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