More on convergence in unitary matrix spaces

Jonathan Arazy; Jonathan Arazy

doi:10.1090/S0002-9939-1981-0619978-4

More on convergence in unitary matrix spaces

Jonathan Arazy, Jonathan Arazy

Department of Mathematics

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

Abstract

Let E be a symmetric sequence space satisfying the Radon-Riesz Property {‖x_n‖ →‖x‖ and x_n → x weakly) ⇒‖x_n − x‖ → 0, then the same is true for the associated unitary matrix space C_E.

Original language	English
Pages (from-to)	44-48
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	83
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1981-0619978-4
State	Published - Sep 1981

Keywords

Compact operators on Hilbert space
Radon-Riesz Property
Symmetric sequence spaces
Unitary matrix spaces

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-1981-0619978-4

Cite this

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title = "More on convergence in unitary matrix spaces",

abstract = "Let E be a symmetric sequence space satisfying the Radon-Riesz Property \{‖xn‖ →‖x‖ and xn → x weakly) ⇒‖xn − x‖ → 0, then the same is true for the associated unitary matrix space CE.",

keywords = "Compact operators on Hilbert space, Radon-Riesz Property, Symmetric sequence spaces, Unitary matrix spaces",

author = "Jonathan Arazy and Jonathan Arazy",

year = "1981",

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doi = "10.1090/S0002-9939-1981-0619978-4",

language = "English",

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AB - Let E be a symmetric sequence space satisfying the Radon-Riesz Property {‖xn‖ →‖x‖ and xn → x weakly) ⇒‖xn − x‖ → 0, then the same is true for the associated unitary matrix space CE.

KW - Compact operators on Hilbert space

KW - Radon-Riesz Property

KW - Symmetric sequence spaces

KW - Unitary matrix spaces

UR - https://www.scopus.com/pages/publications/0042244890

U2 - 10.1090/S0002-9939-1981-0619978-4

DO - 10.1090/S0002-9939-1981-0619978-4

M3 - Article

AN - SCOPUS:0042244890

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EP - 48

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 1

ER -

More on convergence in unitary matrix spaces

Abstract

Keywords

ASJC Scopus subject areas

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