Embedding l{infty} into the Space of Bounded Operators on Certain Banach Spaces |
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| Authors: | Androulakis G; Beanland K; Dilworth S J; Sanacory F |
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| Institution: | Department of Mathematics, University of South Carolina Columbia, SC 29208, USA e-mail: giorgis{at}math.sc.edu, beanland{at}math.sc.edu, dilworth{at}math.sc.edu, sanacory{at}math.sc.edu |
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| Abstract: | Sufficient conditions are given on a Banach space X which ensurethat embeds in L(X), the space of all bounded linear operatorson X. A basic sequence en is said to be quasisubsymmetric iffor any two increasing sequences (kn) and (ln) of positive integerswith (kn)  (ln) for all n, ( ) dominates ( ). If a Banach space X has a seminormalized quasisubsymmetric basis then l embedsin l(X). 2000 Mathematics Subject Classification 46B28 (primary),46B03 (secondary). |
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