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The g E -Approximation Property Determined by the Banach Space E = ℓ q ( ℓ p )

Author

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  • Ju Myung Kim

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

Abstract

We study the g E -approximation property for the Banach space E = ℓ q ( ℓ p ) , which is an extension of Saphar’s p -approximation property. We establish some characterizations of the g E -approximation property using the space of E -summing operators, which is an extension of the space of p -summing operators.

Suggested Citation

  • Ju Myung Kim, 2025. "The g E -Approximation Property Determined by the Banach Space E = ℓ q ( ℓ p )," Mathematics, MDPI, vol. 13(8), pages 1-14, April.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:8:p:1292-:d:1635185
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