On the Strong Parrott Completion Problem

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Feb 1993Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 117, page 429 (issn: 0002-9939,

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Authors: Bakonyi, Mihály; Woerdeman, Hugo J.;

doi: 10.2307/2159179 , 10.1090/s0002-9939-1993-1145412-2

On the Strong Parrott Completion Problem

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Abstract

In this paper we parametrize all solutions of the Strong Parrott problem and obtain necessary and sufficient conditions for existence of isometric, coisometric, and unitary solutions.

Keywords

Structure theory of linear operators, existence of isometric, coisometric and unitary solutions, Dilations, extensions, compressions of linear operators, strong Parrott problem, Equations involving linear operators, with operator unknowns, contractive solution

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