2024 : 11 : 22
فارسی
Ali Taghavi
Academic rank:
Professor
ORCID:
Education:
PhD.
ScopusId:
HIndex:
Faculty:
Faculty of Mathematical Sciences
Address:
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
Phone:
01135302460
E-mail:
taghavi [at] umz.ac.ir
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Title
Maps Preserving a Certain Product of Operators
Type
JournalPaper
Keywords
Preserver problem, Standard operator algebra, Isomorphism
Year
2019
Journal
Ricerche di Matematica
DOI
Researchers
Ali Taghavi
،
Roja Hosseinzadeh
،
Efat Nasrollahi
Abstract
Let A be a standard operator algebra on a Banach space X with dim X ≥ 3. In this paper, we determine the form of the bijective maps φ : A −→ A satisfying φ 1 2 (AB2 + B2 A) = 1 2 [φ(A)φ(B)2 + φ(B)2φ(A)], for every A, B ∈ A.