On operator algebras determined by a sequence of operator norms

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4 Scopus citations

Abstract

We consider a family of operators determined by a sequence of operator norms. When the sequence of norms is determined by a single operator the natural question that arises is when the algebra properly contains the commutant of the operator. In this case the existence of invariant subspaces for the algebra is stronger than the existence of hyperinvariant subspaces for the operator.

Original languageEnglish
Pages (from-to)317-341
Number of pages25
JournalJournal of Operator Theory
Volume60
Issue number2
StatePublished - 1 Sep 2008

Keywords

  • Invariant subspace
  • Operator algebras
  • Operator norms
  • Spectral radius algebra

ASJC Scopus subject areas

  • Algebra and Number Theory

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