Isometric Dilations in Nest Algebras

Avraham Feintuch; Alexander Markus

doi:10.1007/BF01306547

Isometric Dilations in Nest Algebras

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

Access to Document

10.1007/BF01306547

Cite this

@article{180bf483e0a444d48a2d3606579d20a6,

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\}.",

author = "Avraham Feintuch and Alexander Markus",

year = "1996",

month = jan,

day = "1",

doi = "10.1007/BF01306547",

language = "English",

volume = "26",

pages = "346--352",

journal = "Integral Equations and Operator Theory",

issn = "0378-620X",

publisher = "Springer International Publishing",

number = "3",

}

TY - JOUR

T1 - Isometric Dilations in Nest Algebras

AU - Feintuch, Avraham

AU - Markus, Alexander

PY - 1996/1/1

Y1 - 1996/1/1

N2 - 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}.

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}.

UR - https://www.scopus.com/pages/publications/0042487191

U2 - 10.1007/BF01306547

DO - 10.1007/BF01306547

M3 - Article

AN - SCOPUS:0042487191

SN - 0378-620X

VL - 26

SP - 346

EP - 352

JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

IS - 3

ER -

Isometric Dilations in Nest Algebras

Abstract

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this