Results 21 to 30 of about 11,887 (154)

Isometries of the unitary groups and Thompson isometries of the spaces of invertible positive elements in C*-algebras [PDF]

, 2014
We show that the existence of a surjective isometry (which is merely a distance preserving map) between the unitary groups of unital C*-algebras implies the existence of a Jordan *-isomorphism between the algebras.
Andruchow, Conway, Corach, Ellis, Fleming, Fleming, Hatori, Hatori, Hatori, Hatori, Hatori, Hu, Kadison, Kadison, Kadison, Kubo, Lajos Molnár, Mankiewicz, Miura, Molnár, Osamu Hatori, Sakai, Sakai, Sourour, Thompson, Šemrl   +25 more
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On Jordan mappings of inverse semirings

Open Mathematics, 2017
In this paper, the notions of Jordan homomorphism and Jordan derivation of inverse semirings are introduced. A few results of Herstein and Brešar on Jordan homomorphisms and Jordan derivations of rings are generalized in the setting of inverse semirings.
Shafiq Sara, Aslam Muhammad
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Ternary Generalized Jordan Ring Homomorphisms on Ternary Non-Archimedean Banach Algebras [PDF]

Sahand Communications in Mathematical Analysis
In 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
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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
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Characterization of Pseudo n-Jordan Homomorphisms Between Unital Algebras

پژوهش‌های ریاضی, 2020
Let A and B be Banach algebras and B be a right A-module. In this paper, under special hypotheses we prove that every pseudo (n+1)-Jordan homomorphism f:A----> B is a pseudo n-Jordan homomorphism and every pseudo n-Jordan homomorphism is an n-Jordan ...
Abbas Zivari-Kazempour, Abasalt Bodaghi
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Jordan triple product homomorphisms on Hermitian matrices of dimension two

, 2016
We characterise all Jordan triple product homomorphisms, that is, mappings $\Phi$ satisfying $$ \Phi(ABA) = \Phi(A)\Phi(B)\Phi(A) $$ on the set of all Hermitian $2 \times 2$ complex matrices.Comment: 34 ...
Bukovsek, Damjana Kokol, Mojskerc, Blaz
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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.
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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
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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 ...
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Properties of Linearly Sofic Groups [PDF]

, 2013
We consider (projectively) linearly sofic groups, i.e. groups which can be approximated using (projective) matrices over arbitrary fields, as a generalization of sofic groups.
Stolz, Abel
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