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Hoger Ghahramani

Hoger Ghahramani

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId: 26032003000
HIndex:
Faculty: Faculty of Science
Address: Department of Mathematics, University of Kurdistan, Sanandaj, Iran. P. O. Bix. 416
Phone:

Research

Title
CENTRALIZERS ON ⋆-ALGEBRAS CHARACTERIZED BY LOCAL ACTIONS
Type
Presentation
Keywords
Centralizer, ⋆-algebra, orthogonality.
Year
2019
Researchers Behrooz Fadaee ، Hoger Ghahramani

Abstract

‎Let $ \mathcal{A} $ be a unital $ \star $-algebra and $ \varphi‎ : ‎\mathcal{A} \to \mathcal{A} $ be a linear map‎. ‎We consider‎ ‎$ \varphi $ behaving like (right‎, ‎left) centralizer at the following orthogonality‎ ‎conditions on elements of $ \mathcal{A} $‎: ‎$ a b^\star = 1 $ and $ a^\star b = 1 $ and we characterize such‎ ‎maps‎. ‎Indeed we prove that $ \varphi $ is a $ \star $-(right‎, ‎left) centralizer if‎, ‎and only if‎, ‎$ \delta $ is a $ \star $-(right‎, ‎left) centralizer at $ 1 $‎.