The K p, q -Compactness and K p, q -Null Sequences, and the K K p, q -Approximation Property for Banach Spaces

Ju Myung Kim
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Ju Myung Kim: Department of Mathematics and Statistics, Sejong University, Seoul 05006, Korea

Mathematics, 2022, vol. 10, issue 9, 1-11

Abstract: Let K p , q ( 1 ≤ p , q ≤ ∞ with 1 / p + 1 / q ≥ 1 ) be the ideal of ( p , q ) -compact operators. This paper investigates the compactness and null sequences via K p , q , and an approximation property of the ideal of K p , q -compact operators.

Keywords: compact set; null sequence; ( p , q )-compact operator; Banach operator ideal; approximation property (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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