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- Title
Embedding l∞ into the Space of Bounded Operators on Certain Banach Spaces.
- Authors
Androulakis, G.; Beanland, K.; Dilworth, S. J.; Sanacory, F.
- Abstract
Sufficient conditions are given on a Banach space X which ensure that embeds in L(X), the space of all bounded linear operators on X. A basic sequence en is said to be quasisubsymmetric if for any two increasing sequences (kn) and (ln) of positive integers with (kn) ≤ (ln) for all n, (ekn) dominates (eln). If a Banach space X has a seminormalized quasisubsymmetric basis then l∞ embeds in l(X). 2000 Mathematics Subject Classification 46B28 (primary), 46B03 (secondary).
- Subjects
BANACH spaces; EMBEDDINGS (Mathematics); MATHEMATICAL bounds; LINEAR operators; MATHEMATICAL sequences; INTEGERS; MATHEMATICAL analysis
- Publication
Bulletin of the London Mathematical Society, 2006, Vol 38, Issue 6, p979
- ISSN
0024-6093
- Publication type
Article
- DOI
10.1112/S0024609306018868