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Ali Taghavi

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

Research

Title
Maps Completely Preserving Fixed Points and Maps Completely Preserving Kernel of Operators
Type
JournalPaper
Keywords
completely preserver problem, standard operator algebra, fixed point.
Year
2018
Journal Analysis Mathematica
DOI
Researchers Roja Hosseinzadeh ، Ilnaz Sharifi ، Ali Taghavi

Abstract

Let A and B be standard operator algebras on Banach spaces X and Y , respectively. In this paper, we show that every map completely preserving fixed points property from A onto B is either an isomorphism or (in the complex case) a conjugate isomorphism. Also we show that every map completely preserving kernel of operators from A onto B is a scalar multiple of either an isomorphism or (in the complex case) a conjugate isomorphism. B be standard operator algebras on Banach spaces X and Y , respectively. In this paper, we show that every map completely preserving the fixed points property from A onto B is either an isomorphism or (in the complex case) a conjugate isomorphism. Also we show that every map completely preserving the kernel of operators from A onto B is a scalar multiple of either an isomorphism or (in the complex case) a conjugate isomorphism.