Characterizations Of Jordan *-Isomorphisms Of $$C^*$$

Characterizations Of Jordan -Isomorphisms Of $$C^$$

Di: Ava

Therefore one may find surprising that for von Neumann factors unital Jordan triple isomorphisms coincide with piecewise isomorphisms. The paper is organised as follows. In Section 2 we introduce piecewise morphisms in the context of Banach algebras and show their relation to maps preserving commutativity. We first introduce some basic properties of Jordan isomorphism. Then, we study the additively spectrum preserving property and the multiplicatively spectrum-preserving property, and prove that these maps can be characterized by Jordan isomorphisms between C*-algebras.

JORDAN ALGEBRA STRUCTURES AND OPERATOR THEORY

S 0002-9939(07)08807-7 Article electronically published on May 8, 2007

PPT - Section 1.2 Isomorphisms PowerPoint Presentation, free download ...

We present some nonlinear characterizations of the automorphisms of the operator algebra $B (H)$ and the function algebra $C (X)$ by means of their spectrum

Characterizations of Jordan *-isomorphisms of C⁎-algebras by weighted geometric mean related operations and quantities Article Nov 2019 Fadil Chabbabi Mostafa Mbekhta Lajos Molnár can be viewed as characterizations of Jordan *-isomorphisms between oper- ator algebras via their spectral multiplicativity properties of diﬀerent kinds

Characterizations of Jordan *-isomorphisms of C*-algebras by Schatten p-norm of Kubo-Ando means 发布者：数学科学学院发布时间：2024-11-18

Fadil Chabbabi, Mostafa Mbekhta, and Lajos Molnár, Characterizations of Jordan ∗ -isomorphisms of C ∗ -algebras by weighted geometric mean related operations and quantities, Linear Algebra Appl. 588 (2020), 364–390. In this paper, a characterization of Jordan isomorphisms between standard subalgebras of J -subspace lattice algebras is given. This result can apply to atomic Boolean subspace lattice algebras and pentagon subspace lattice algebras, respectively. The main results imply several other characterizations of Jordan ∗-isomorphisms which are interesting in their own right.

Characterizations of Jordan *-isomorphisms of C⁎-algebras by weighted geometric mean related operations and quantities Jan Hamhalter and Ekaterina Turilova Abstract They are many faces of C∗-algebras whose symmetries encode important aspects of their structures. We show that in surprisingly different situations these symmetries are implemented by Jordan *-isomorphisms and lead to full Jordan invariants. In this respect we study the following structures: 1. One dimensional projections in a Non-linear characterization of Jordan $$*$$-isomorphisms via maps on positive cones of $$C^*$$-algebras Acta Scientiarum Mathematicarum Osamu Hatori Shiho Oi 記述言語掲載種別研究論文（学術雑誌） DOI 10.1007/s44146-024-00140-y 出版者・発行元 Springer Science and Business Media LLC リンク情報 DOI

Jordan derivations and antiderivations on triangular matrices

Jordan derivations and antiderivations on triangular matrices
Journal of Operator Theory :: a mathematics journal
Symmetries of C ∗-algebras and Jordan Morphisms
Lajos Molnár’s research works

Characterizations of Jordan *-isomorphisms between C -algebras by relative entropy preserving maps Jan Hamhalter Isometries, Jordan *-isomorphisms and order isomorphisms on spaces of a unital $C^*$-algebra-valued continuous maps 数理解析研究所講究録別冊 (B93) 133-141 2023年7月査読有り

Download Citation | Characterization of Jordan isomorphisms on nest subalgebras | Let algMβ and algMγ be non-trivial nest subalgebras in factor von Neumann algebra M, and φ be a unital Non-linear characterization of Jordan $*$-isomorphisms via maps on positive cones of $C^*$-algebras

そこで次に，C*環に値をとる連続関数のなすバナッハ環とC*環に値をとるリプシッツ環の間のJordan*同型写像に関する研究を行った。 Jordan*同型写像は，C*環の既約表現を通して，荷重合成作用素で表されることが分かった。

For a commutative subspace lattice on a complex Hilbert space and a bounded bijective linear mapping h from onto a unital Banach algebra , we show that if h satisfies for all in with and , then h is an isomorphism. For a ‐ lattice on a Banach space and the unital subalgebra of generated by finite-rank operators, we show that all generalized Jordan derivations from to

A.M. Sinclair, Jordan homomorphisms and derivations on semisimple Banach algebras, Proc. Amer. Math. Soc. 24 (1970) 209–214. [10] X.M. Tang, C.G. Cao, X. Zhang, Modular automorphisms preserving idempotence and Jordan isomorphisms of triangular matrices over commutative rings, Linear Algebra Appl. 338 (2001) 145–152.

Characterizations of ∗ and ∗ -left derivable mappings on some algebras Original Paper Published: 17 December 2019 Volume 11, pages 680–692, (2020) Cite this article

AMS :: Proceedings of the American Mathematical Society

Download Citation | On Apr 1, 2025, Xiaofei Qi and others published Jordan homomorphisms on Hilbert C ∗ -Modules | Find, read and cite all the research you need on ResearchGate Characterizations of Jordan *-isomorphisms of C⁎-algebras by weighted geometric mean related operations and quantities Article November 2019 · 103 Reads · 18 Citations Linear Algebra and its

In this paper, we give several characterizations for the centrality of elements in positive definite cones of C⁎-algebras. From the results to be pres View a PDF of the paper titled Characterizations of $ (m,n)$-Jordan derivations on some algebras, by Guangyu An and 1 other authors

Abstract We present characterizations of isomorphisms of Jordan algebras of quantum observables using only certain spectrum-preserving properties without assuming any kind of linearity. They are many faces of C ∗-algebras whose symmetries encode important aspects of their structures. We show that in surprisingly different situations these symmetries are implemented by Jordan *-isomorphisms and lead to full Jordan invariants. In this respect we

Chabbabi, F., Mbekhta, M. and Molnár, L. (2020) Characterizations of Jordan -Isomorphisms of C-Algebras by Weighted Geometric Mean Related Operations and Quantities. Linear Algebra and Its Applications, 588, 364-390.

We conclude the section with a few other corollaries which provide characterizations of Jordan *-isomorphisms of the self-adjoint parts of C∗-algebras by means of their certain spectral

Isometries, Jordan *-isomorphisms and order isomorphisms on spaces of a unital $C^*$-algebra-valued continuous maps 査読数理解析研究所講究録別冊 ( B93 ) 133 – 141 2023年7月詳細を見る We present characterizations of isomorphisms of Jordan algebras of quantum observables using only certain spectrum-preserving properties

Characterizations of Jordan *-isomorphisms of C⁎-algebras by weighted geometric mean related operations and quantities Article Nov 2019 Fadil Chabbabi Mostafa Mbekhta Lajos Molnár

发布者：赵文娇发布时间：2024-11-18浏览次数：10 Let R be a 2-torsionfree ring with identity 1 and let Tn(R), n⩾2, be the ring of all upper triangular n×n matrices over R. We describe additive Jordan

Abstract. We give an elementary proof of a result which char-acterizes onto *-isomorphisms of the algebra BL(H) of all the bounded linear operators on a Hilbert space H. A known proof of this Abstract Let ? be a unital Banach algebra and ℳ be a unital ?-bimodule. We show that if δ is a linear mapping from ? into ℳ satisfying δ (ST) = δ (S) T + S δ (T) for any S, T ∈ ? with ST = W, where W is a left or right separating point of ℳ, then δ is a Jordan derivation. Also, it is shown that every linear mapping h from ? into a unital Banach algebra ℬ which

C with μ3 = 1. Similar results for mappings on S(H) were also obtained. It is interesting that under the rather mild assumptions, one can prove that a numerical range preserving map φ is a C∗-is morphism on B(H) or a Jordan isomorphism on S(H) up to a scalar multiple. Following this line of study, we consider the J

QQCWB

GV