The gE-Approximation Property Determined by the Banach Space E = ℓq(ℓp)

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

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Publication Details

Journal
Mathematics
Published
2025-04-15
DOI
https://doi.org/10.3390/math13081292
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
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article

The gE-Approximation Property Determined by the Banach Space E = ℓq(ℓp)

Ju Myung Kim
Mathematics
Approximation Theory and Sequence Spaces
article

The gE-Approximation Property Determined by the Banach Space E = ℓq(ℓp)

Ju Myung Kim
article en

Abstract

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

MathematicsVol. 13(8)
Sejong University (KR)
Openalex Percentile: Top 92%
Approximation Theory and Sequence Spaces
DOIOpen Access PDFOpenAlex
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The gE-Approximation Property Determined by the Banach Space E = ℓq(ℓp) — Ju Myung Kim · Mathematics (2025) | TGRS Research Map | TGRS