Some multiplicative preservers on B(H)

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

In this paper we describe the form of those continuous multiplicative maps on B(H) (H being a separable complex Hubert space of dimension not less than 3) which preserve the rank, or the corank. Furthermore, we characterize those continuous *-semigroup endomorphisms of B(H) which are spectrum non-increasing.

Original languageEnglish
Pages (from-to)1-13
Number of pages13
JournalLinear Algebra and Its Applications
Volume301
Issue number1-3
Publication statusPublished - Nov 1 1999

Fingerprint

Preserver
Multiplicative
Hubert Space
Endomorphisms
Semigroup
Form

Keywords

  • Corank
  • Multiplicative map
  • Operator algebra
  • Rank
  • Spectrum

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Numerical Analysis

Cite this

Some multiplicative preservers on B(H). / Molnár, L.

In: Linear Algebra and Its Applications, Vol. 301, No. 1-3, 01.11.1999, p. 1-13.

Research output: Contribution to journalArticle

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