Bilocal automorphisms

L. Molnár, Peter Šemrl, Ahmed Ramzi Sourour

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We prove that every bilocal automorphism of a matrix algebra is either an inner automorphism, or an inner anti-automorphism, or it is of a very special degenerate form. Bijective continuous bilocal automorphisms of a unital standard operator algebra on an infinitedimensional separable complex Banach space are automorphisms.

Original languageEnglish
Pages (from-to)113-120
Number of pages8
JournalOperators and Matrices
Volume9
Issue number1
DOIs
Publication statusPublished - Mar 1 2015

Fingerprint

Automorphism
Automorphisms
Standard Operator Algebra
Matrix Algebra
Bijective
Unital
Banach space
Form

Keywords

  • Bilocal automorphism
  • Matrix algebra
  • Standard operator algebra

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Analysis

Cite this

Molnár, L., Šemrl, P., & Sourour, A. R. (2015). Bilocal automorphisms. Operators and Matrices, 9(1), 113-120. https://doi.org/10.7153/oam-09-06

Bilocal automorphisms. / Molnár, L.; Šemrl, Peter; Sourour, Ahmed Ramzi.

In: Operators and Matrices, Vol. 9, No. 1, 01.03.2015, p. 113-120.

Research output: Contribution to journalArticle

Molnár, L, Šemrl, P & Sourour, AR 2015, 'Bilocal automorphisms', Operators and Matrices, vol. 9, no. 1, pp. 113-120. https://doi.org/10.7153/oam-09-06
Molnár, L. ; Šemrl, Peter ; Sourour, Ahmed Ramzi. / Bilocal automorphisms. In: Operators and Matrices. 2015 ; Vol. 9, No. 1. pp. 113-120.
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