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Topological divisors of zero and Tauberian theorems

Topological divisors of zero and Tauberian theorems

1. Introduction.The connection between the two topics mentioned in the title has been shown by I. D. Berg [2].(See Theorem 6, below.)The author thanks Dr. Berg for assistance with the material of this article.The topological divisors of 0 in the algebra £[X] of all bounded endomorphisms of a Banach space …