Results 31 to 40 of about 12,088 (187)
Ternary Generalized Jordan Ring Homomorphisms on Ternary Non-Archimedean Banach Algebras [PDF]
Sahand Communications in Mathematical AnalysisIn this paper, we introduce the notion of the ternary generalized Jordan ring homomorphism on ternary non-Archimedean Banach algebras. Utilizing alternative fixed point methods, we establish the generalized Hyers-Ulam stability of ternary generalized ...
Ismail Nikoufar, Hossein Rahimpoor
doaj +1 more source
Hom-structures on semi-simple Lie algebras
Open Mathematics, 2015 A Hom-structure on a Lie algebra (g,[,]) is a linear map σ W g σ g which satisfies the Hom-Jacobi identity: [σ(x), [y,z]] + [σ(y), [z,x]] + [σ(z),[x,y]] = 0 for all x; y; z ∈ g. A Hom-structure is referred to as multiplicative if it is also a Lie algebra
Xie Wenjuan, Jin Quanqin, Liu Wende
doaj +1 more source
Completely contractive projections on operator algebras
, 2016 The main goal of this paper is to find operator algebra variants of certain deep results of Stormer, Friedman and Russo, Choi and Effros, Effros and Stormer, Robertson and Youngson, Youngson, and others, concerning projections on C*-algebras and their ...
Barton +10 more
core +1 more source
Jordan homomorphisms revisited
Mathematical Proceedings of the Cambridge Philosophical Society, 2008 AbstractLet θ be a Jordan homomorphism from an algebraAinto an algebraB. We find various conditions under which the restriction of θ to the commutator ideal ofAis the sum of a homomorphism and an antihomomorphism. Algebraic results, obtained in the first part of the paper, are applied to the second part dealing with the case whereAandBareC*-algebras.
openaire +2 more sources
A note on isomorphisms of quantum systems
Extracta Mathematicae, 2022 We consider the question as to whether a quantum system is uniquely determined by all values of all its observables. For this, we consider linearly nuclear GB*-algebras over W*-algebras as models of quantum systems.
Martin Weigt
doaj
Universal Enveloping Algebras of Lie Antialgebras
, 2010 Lie antialgebras is a class of supercommutative algebras recently appeared in symplectic geometry. We define the notion of enveloping algebra of a Lie antialgebra and study its properties.
Leidwanger, Séverine +1 more
core +1 more source
Jordan Triple Product Homomorphisms
Monatshefte für Mathematik, 2006 A Jordan triple product homomorphism is a map \(\varphi\) from a ring \(A\) into a ring \(B\) which satisfies \(\varphi(aba)=\varphi(a)\varphi(b)\varphi(a)\) for all \(a,b\in A\). From a result by \textit{F. Lu} [Linear Algebra Appl. 375, 311-317 (2003; Zbl 1061.47033)] it follows that a bijective Jordan triple product homomorphism \(\varphi\colon M_n ...
openaire +3 more sources
On isomorphisms of standard operator algebras
, 2000 The aim of this paper is to show that between standard operator algebras every bijective map with a certain multiplicativity property related to Jordan triple isomorphisms of associative rings is automatically additive.Comment: 8 pages.
Molnar, Lajos
core +2 more sources
Dimer models and conformal structures
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
wiley +1 more source
JORDAN HOMOMORPHISMS IN PROPER JCQ∗ -TRIPLES
Journal of Nonlinear Sciences and Applications, 2011 This paper is along a long line of research on the so-called \(JCQ^*\)-triples, arising as extensions of quasi *-algebras and related structures, originally introduced to deal rigorously with unbounded operators. In particular, the authors investigate the Jordan homomorphisms associated to a certain generalized Jensen functional equation.
Kaboli Gharetapeh, S. +3 more
openaire +3 more sources