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

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

Mathematics, 2025, vol. 13, issue 8, 1-14

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.

Keywords: schauder basis; vector-valued sequence; tensor norm; operator ideal; approximation property (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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