Uniform factorization for compact sets of operators

Aron, R.; Lindström, M.; Ruess, W.; Ryan, R.

doi:10.1090/S0002-9939-99-04619-5

Uniform factorization for compact sets of operators
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by R. Aron, M. Lindström, W. M. Ruess and R. Ryan PDF

Proc. Amer. Math. Soc. 127 (1999), 1119-1125 Request permission

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-Dieudonné 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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