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Aron, R.
; 
Lindström, M.
; 
Ruess, W. M.
; 
Ryan, R.
Repository DOI
Publication Date
1999-04-01
Keywords
banach spaces, compact factorization, tensor products, michael's selection theorem, banach-dieudonne theorem
Type
Article
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Citation
Aron, R. Lindström, M.; Ruess, W. M.; Ryan, R. (1999). . Proceedings of the American Mathematical Society 127 (4), 1119-1125
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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Publisher
American Mathematical Society (AMS)
Publisher DOI
10.1090/s0002-9939-99-04619-5
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Externally hosted open access publications with University of Galway authors (1)