Some dual Tauberian embeddings

  • Olav Nygaard Agder University College
Keywords: factorization of operators, dual Tauberian embedding

Abstract

We show that if the famous construction of Davis, Figiel, Johnson and Pełczyński [1] is worked out on a weak-star compact set in a dual Banach space, then the resulting Banach space is a dual space. Next we apply this result to show that either a set is weak-star thick or it is contained in the operator range of a weak-star continuous Tauberian embedding. This result improves and, in some sense, completes the theory of thin sets and surjectivity described in [8]. 

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Author Biography

Olav Nygaard, Agder University College

Department of Mathematics

Published
2001-12-31
Section
Articles