2012Mathematische NachrichtenRequires access

The approximation properties via the Grothendieck p‐compact sets

Ju Myung Kim

Open publisher page 3 citations

Abstract

Abstract A stronger form of compactness, which is due to Grothendieck's criterion of compact sets in Banach spaces, generates an approximation property which is formally weaker than the classical approximation property. In the paper, we investigate this approximation property in a more general setting.

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What this paper is about

Abstract A stronger form of compactness, which is due to Grothendieck's criterion of compact sets in Banach spaces, generates an approximation property which is formally weaker than the classical approximation property. In the paper, we investigate this approximation property in a more general setting.

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Available abstract

Abstract A stronger form of compactness, which is due to Grothendieck's criterion of compact sets in Banach spaces, generates an approximation property which is formally weaker than the classical approximation property. In the paper, we investigate this approximation property in a more general setting.

Key concepts: Mathematics, Compact space, Approximation property, Property (philosophy), Banach space, Pure mathematics, Discrete mathematics, Epistemology

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