Abstract
A linear subspace S of an algebra G is called reflexive if a ∈ S whenever a ∈ G and paq = 0 for every pair p, q of indempotents in G such that p S q = {0}. This paper studies properties of a Banach space that ensure that every separable norm closed linear subspace of the corrsponding Calkin algebra is reflexive. The latter holds for the spaces c 0 and ℓ p , 1 < p < ∞.
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