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

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  • Ju Myung Kim

    (Department of Mathematics and Statistics, Sejong University, Seoul 05006, Korea)

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.

Suggested Citation

  • Ju Myung Kim, 2022. "The K p , q -Compactness and K p , q -Null Sequences, and the K K p , q -Approximation Property for Banach Spaces," Mathematics, MDPI, vol. 10(9), pages 1-11, May.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:9:p:1586-:d:810514
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    References listed on IDEAS

    as
    1. Silvia Lassalle & Pablo Turco, 2017. "On null sequences for Banach operator ideals, trace duality and approximation properties," Mathematische Nachrichten, Wiley Blackwell, vol. 290(14-15), pages 2308-2321, October.
    2. Kati Ain & Eve Oja, 2015. "On ( p , r ) -null sequences and their relatives," Mathematische Nachrichten, Wiley Blackwell, vol. 288(14-15), pages 1569-1580, October.
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