科研之友
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摘要
We study the stability of approximative tau-compactness, where tau is the norm or the weak topology. Let Lambda be an index set and for every lambda is an element of Lambda, let Y-lambda be a subspace of a Banach space X-lambda. For 1 <= p < infinity, let X = circle plus(lp) X-lambda and Y = circle plus(lp) Y-lambda. We prove that Y (resp., B-Y) is approximatively tau-compact in X if and only if, for every lambda is an element of Lambda, Y-lambda (resp., B-Y lambda) is approximatively tau-compact in X-lambda.
