The invariant subspace problem for absolutely p-summing operators in Krein spaces

Research output: Contribution to journalArticle

Abstract

Let [InlineEquation not available: see fulltext.], and let T be a bounded linear operator defined on a Krein space [InlineEquation not available: see fulltext.]. We prove the existence of a non-positive subspace [InlineEquation not available: see fulltext.] of [InlineEquation not available: see fulltext.] invariant under T with the assumption that T is absolutely p-summing with some further conditions imposed on it. MSC: 47B50, 46C20, 47B10.

Original languageEnglish
Article number254
JournalJournal of Inequalities and Applications
Volume2012
DOIs
Publication statusPublished - 2012

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Krein Space
Invariant Subspace
Bounded Linear Operator
Subspace
Invariant
Operator

Keywords

  • absolutely p-summing operator
  • invariant subspace
  • Krein spaces

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Discrete Mathematics and Combinatorics

Cite this

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abstract = "Let [InlineEquation not available: see fulltext.], and let T be a bounded linear operator defined on a Krein space [InlineEquation not available: see fulltext.]. We prove the existence of a non-positive subspace [InlineEquation not available: see fulltext.] of [InlineEquation not available: see fulltext.] invariant under T with the assumption that T is absolutely p-summing with some further conditions imposed on it. MSC: 47B50, 46C20, 47B10.",
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AB - Let [InlineEquation not available: see fulltext.], and let T be a bounded linear operator defined on a Krein space [InlineEquation not available: see fulltext.]. We prove the existence of a non-positive subspace [InlineEquation not available: see fulltext.] of [InlineEquation not available: see fulltext.] invariant under T with the assumption that T is absolutely p-summing with some further conditions imposed on it. MSC: 47B50, 46C20, 47B10.

KW - absolutely p-summing operator

KW - invariant subspace

KW - Krein spaces

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