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

Gerald Wanjala

doi:10.1186/1029-242X-2012-254

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

Gerald Wanjala^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English
Article number	254
Journal	Journal of Inequalities and Applications
Volume	2012
DOIs	https://doi.org/10.1186/1029-242X-2012-254
Publication status	Published - 2012

Keywords

Krein spaces
absolutely p-summing operator
invariant subspace

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.1186/1029-242X-2012-254

Cite this

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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 - Krein spaces

KW - absolutely p-summing operator

KW - invariant subspace

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

Abstract

Keywords

ASJC Scopus subject areas

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