Embedding `∞ into the Space of Bounded Operators on Certain Banach Spaces
نویسنده
چکیده
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 (`n) of positive integers with kn ≤ `n for all n, (ekn) dominates (e`n). If a Banach space X has a seminormalized quasisubsymmetric basis then `∞ embeds in L (X).
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تاریخ انتشار 2005