A remark on complemented subspaces of unitarym atrixs paces

Jonathan Arazy

doi:10.1090/S0002-9939-1980-0572312-X

A remark on complemented subspaces of unitarym atrixs paces

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

Abstract

Theorem A. Let P be a bounded projection in a unitary matrix space C_E. Then either PC_E or (I-P)C_E contains a subspace which is isomorphic to C_E and complemented in C_E.

Original language	English
Pages (from-to)	601-608
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	79
Issue number	4
DOIs	https://doi.org/10.1090/S0002-9939-1980-0572312-X
State	Published - Aug 1980
Externally published	Yes

Keywords

C-spaces
Compact operators on Hubert spaces
Complemented subspaces
Symmetric sequence spaces
Unitary matrix spaces

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-1980-0572312-X

Cite this

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title = "A remark on complemented subspaces of unitarym atrixs paces",

abstract = "Theorem A. Let P be a bounded projection in a unitary matrix space CE. Then either PCE or (I-P)CE contains a subspace which is isomorphic to CE and complemented in CE.",

keywords = "C-spaces, Compact operators on Hubert spaces, Complemented subspaces, Symmetric sequence spaces, Unitary matrix spaces",

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KW - C-spaces

KW - Compact operators on Hubert spaces

KW - Complemented subspaces

KW - Symmetric sequence spaces

KW - Unitary matrix spaces

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A remark on complemented subspaces of unitarym atrixs paces

Abstract

Keywords

ASJC Scopus subject areas

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