Approximation of operators in Banach spaces
Abstract
It is a translation of an old paper of mine. We describe the topology taup in the space Pip(Y,X), for which the closures of convex sets in taup and in *-weak topology of the space Pip(Y,X) are coincident. Thereafter, we investigate some properties of the space Pip, related to this new topology. 2010-remark: Occasionally, the topology is coincides with the lambdap-topology from the paper "Compact operators which factor through subspaces of lp", Math. Nachr. 281(2008), 412-423 by Deba Prasad Sinha and Anil Kumar Karn.
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