Isometric Dilations in Nest Algebras

Avraham Feintuch; Alexander Markus

doi:10.1007/BF01306547

Isometric Dilations in Nest Algebras

Avraham Feintuch, Alexander Markus

Department of Mathematics

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

1 Scopus citations

Abstract

Let T be a contraction acting in a separable Hilbert space H and leaving invariant a nest N of subspaces of H. We answer the question: when does T have an isometric extension to H ⊕ H which leaves invariant the nest N ⊕ N = {N ⊕ N : N ⊕ N}.

Original language	English
Pages (from-to)	346-352
Number of pages	7
Journal	Integral Equations and Operator Theory
Volume	26
Issue number	3
DOIs	https://doi.org/10.1007/BF01306547
State	Published - 1 Jan 1996

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

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title = "Isometric Dilations in Nest Algebras",

abstract = "Let T be a contraction acting in a separable Hilbert space H and leaving invariant a nest N of subspaces of H. We answer the question: when does T have an isometric extension to H ⊕ H which leaves invariant the nest N ⊕ N = {N ⊕ N : N ⊕ N}.",

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AB - Let T be a contraction acting in a separable Hilbert space H and leaving invariant a nest N of subspaces of H. We answer the question: when does T have an isometric extension to H ⊕ H which leaves invariant the nest N ⊕ N = {N ⊕ N : N ⊕ N}.

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Isometric Dilations in Nest Algebras

Abstract

ASJC Scopus subject areas

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