The approximation properties via the Grothendieck p‐compact sets
Ju Myung Kim
Abstract
Ju Myung Kim
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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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