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Operator Ideals arising from Generating Sequences

2011/01/11 by Ngai-Ching Wong, Wong, Ngai-Ching
Mathematics · #46A17 #47B10 46A11 #47L20 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:46A11 #msc:46A17 #msc:47B10 #msc:47L20

paper · pdf · doi:10.48550/arxiv.1101.2085

17 pages, for the Proceedings of International Conference on Algebra 2010, World Scientific. (The International Conference on Algebra in honor of the 70th birthday of Professor Shum Kar Ping was held by Universitas Gadjah Mada (UGM)in Yogyakarta, Indonesia on October 7-10, 2010.)

arxiv created 2011/01/11 · arxiv updated 2011/01/12

Abstract

In this note, we will discuss how to relate an operator ideal on Banach spaces to the sequential structures it defines. Concrete examples of ideals of compact, weakly compact, completely continuous, Banach-Saks and weakly Banach-Saks operators will be demonstrated.

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