Uniform factorization for compact sets of operators

Raymond A. Ryan

Uniform factorization for compact sets of operators

Raymond A. Ryan

Mathematics

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Abstract

We prove a factorization result for relatively compact subsets of compact operators using the Bartle and Graves Selection Theorem, a characterization of relatively compact subsets of tensor products due to Grothendieck, and results of Figiel and Johnson on factorization of compact operators. A further proof, essentially based on the Banach-Dieudonne Theorem, is included. Our methods enable us to give an easier proof of a result of W.H. Graves and W.M. Ruess.

Original language	English (Ireland)
Number of pages	6
Journal	Proceedings Of The American Mathematical Society
Volume	127
Publication status	Published - 1 Apr 1999

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Aron, R;Lindstrom, M;Ruess, WM;Ryan, R

Cite this

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title = "Uniform factorization for compact sets of operators",

abstract = "We prove a factorization result for relatively compact subsets of compact operators using the Bartle and Graves Selection Theorem, a characterization of relatively compact subsets of tensor products due to Grothendieck, and results of Figiel and Johnson on factorization of compact operators. A further proof, essentially based on the Banach-Dieudonne Theorem, is included. Our methods enable us to give an easier proof of a result of W.H. Graves and W.M. Ruess.",

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AB - We prove a factorization result for relatively compact subsets of compact operators using the Bartle and Graves Selection Theorem, a characterization of relatively compact subsets of tensor products due to Grothendieck, and results of Figiel and Johnson on factorization of compact operators. A further proof, essentially based on the Banach-Dieudonne Theorem, is included. Our methods enable us to give an easier proof of a result of W.H. Graves and W.M. Ruess.

M3 - Article

VL - 127

JO - Proceedings Of The American Mathematical Society

JF - Proceedings Of The American Mathematical Society

ER -

Uniform factorization for compact sets of operators

Abstract

Authors (Note for portal: view the doc link for the full list of authors)

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Cite this