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Compressions and Pinchings

Name: Compressions and Pinchings
Creator: Bourin, Jean-Christophe
Keywords: Mathematics - Functional Analysis, 47A12, 47A12; 47A20, Numerical range, numerical radius, 47A20, FOS: Mathematics, Dilations, extensions, compressions of linear operators, numerical range, dilation, 0101 mathematics

Compressions and pinchings.

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2002Embargo end date: 01 Jan 2002 France Publisher:arXiv

Authors: Bourin, Jean-Christophe;

doi: 10.48550/arxiv.math/0211358

arXiv: http://arxiv.org/abs/math/0211358

Compressions and Pinchings

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Abstract

There exist operators $A$ such that : for any sequence of contractions $\{A_n\}$, there is a total sequence of mutually orthogonal projections $\{E_n\}$ such that $��E_nAE_n=\bigoplus A_n$.

11 pages

Country

France

Related Organizations

French National Centre for Scientific Research
France
CY Cergy Paris University
France

Keywords

Mathematics - Functional Analysis, 47A12, 47A12; 47A20, Numerical range, numerical radius, 47A20, FOS: Mathematics, Dilations, extensions, compressions of linear operators, numerical range, dilation, compression, Functional Analysis (math.FA)

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