2-Local isometries of some operator algebras

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Abstract

As a consequence of the main result of the paper we obtain that every 2-local isometry of the C*-algebra B(H) of all bounded linear operators on a separable infinite-dimensional Hilbert space H is an isometry. We have a similar statement concerning the isometries of any extension of the algebra of all compact operators by a separable commutative C*-algebra. Therefore, on those C*-algebras the isometries are completely determined by their local actions on the two-point subsets of the underlying algebras.

Original languageEnglish
Pages (from-to)349-352
Number of pages4
JournalProceedings of the Edinburgh Mathematical Society
Volume45
Issue number2
DOIs
Publication statusPublished - Jul 20 2002

Keywords

  • Isometry
  • Local isometry
  • Operator algebra

ASJC Scopus subject areas

  • Mathematics(all)

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