Order isomorphisms and triple isomorphisms of operator ideals and their reflexivity

L. Molnár, Peter Šemrl

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

In this paper we give the general form of order isomorphisms and that of triple isomorphisms of standard operator algebras. For any Schatten- von Neumann class of compact operators as well as for the whole operator algebra, it is proved that the group of all of its order automorphisms is reflexive in the algebra of all linear (not necessarily continuous) selfmaps of the underlying operator algebra. A similar reflexivity result concerning triple automorphisms of an arbitrary operator ideal is also presented.

Original languageEnglish
Pages (from-to)497-506
Number of pages10
JournalArchiv der Mathematik
Volume69
Issue number6
Publication statusPublished - Dec 1 1997

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Operator Ideals
Reflexivity
Operator Algebras
Automorphisms
Isomorphism
Standard Operator Algebra
Compact Operator
Algebra
Arbitrary
Class
Form

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Order isomorphisms and triple isomorphisms of operator ideals and their reflexivity. / Molnár, L.; Šemrl, Peter.

In: Archiv der Mathematik, Vol. 69, No. 6, 01.12.1997, p. 497-506.

Research output: Contribution to journalArticle

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