Compactness and collective compactness in spaces of compact operators
Copyright policy )Compactness and collective compactness in spaces of compact operators
AbstractThis is a study of compactness in (a) spaces Kb(X, Y) of compact linear operators, (b) injective tensor products X \̃boϵ Y, and (c) spaces Lc(X, Y) of continuous linear operators, and its various relationships with equicontinuity and collective compactness. Among the applications is a result on factoring compact sets of compact operators compactly and uniformly through one and the same reflexive Banach space.
- University of Duisburg-Essen Germany
collective compactness, Applied Mathematics, equicontinuity, representation of operators, Linear spaces of operators, Tensor products in functional analysis, Analysis, Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators, compact operators
collective compactness, Applied Mathematics, equicontinuity, representation of operators, Linear spaces of operators, Tensor products in functional analysis, Analysis, Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators, compact operators
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