One-parameter semigroups of orthogonality preservers of JB*-algebras

2021 ◽  
Vol 6 (2) ◽  
Author(s):  
Jorge J. Garcés ◽  
Antonio M. Peralta
Keyword(s):  
Orthogonality Preservers

scholarly journals Orthogonality Preservers of JB*-triple-valued Functions

2016 ◽  
Vol 20 (6) ◽  
pp. 1393-1400
Author(s):  
Dongyang Chen ◽  
Lei Li ◽  
Qing Meng
Keyword(s):  
Orthogonality Preservers

scholarly journals Linear orthogonality preservers of Hilbert $C^*$-modules

2014 ◽  
Vol 71 (2) ◽  
pp. 571-584 ◽  
Author(s):  
Chi-Wai Leung ◽  
◽  
Chi-Keung Ng ◽  
Ngai-Ching Wong
Keyword(s):  
Orthogonality Preservers

ORTHOGONALITY PRESERVERS REVISITED

2009 ◽  
Vol 02 (03) ◽  
pp. 387-405 ◽  
Author(s):  
María Burgos ◽  
Francisco J. Fernández-Polo ◽  
Jorge J. Garcés ◽  
Antonio M. Peralta
Keyword(s):  
Linear Operator ◽  
Natural Product ◽  
Bounded Linear Operator ◽  
Complete Characterization ◽  
Bounded Linear ◽  
C Algebra ◽  
Jordan Homomorphism ◽  
C Algebras ◽  
Orthogonality Preservers

We obtain a complete characterization of all orthogonality preserving operators from a JB *-algebra to a JB *-triple. If T : J → E is a bounded linear operator from a JB *-algebra (respectively, a C *-algebra) to a JB *-triple and h denotes the element T**(1), then T is orthogonality preserving, if and only if, T preserves zero-triple-products, if and only if, there exists a Jordan *-homomorphism [Formula: see text] such that S(x) and h operator commute and T(x) = h•r(h) S(x), for every x ∈ J, where r(h) is the range tripotent of h, [Formula: see text] is the Peirce-2 subspace associated to r(h) and •r(h) is the natural product making [Formula: see text] a JB *-algebra. This characterization culminates the description of all orthogonality preserving operators between C *-algebras and JB *-algebras and generalizes all the previously known results in this line of study.

Weakly compact orthogonality preservers on C*-algebras

2010 ◽  
Vol 270 (3-4) ◽  
pp. 709-723
Author(s):  
Francisco J. Fernández-Polo ◽  
Jorge J. Garcés ◽  
Antonio M. Peralta
Keyword(s):  
Weakly Compact ◽  
C Algebras ◽  
Orthogonality Preservers
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