On $2$-dominated operators on $\ell_{p}$ spaces

We use the Maurey factorization theorem to obtain a new characterization of 2 -dominated operators on a product of \ell_{p} spaces. This new characterization is used to find the necessary and sufficient conditions for some diagonal operators on a product of \ell_{p} spaces to be 2 -dominated.

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Publication Details

Journal
Zeitschrift für Analysis und ihre Anwendungen
Published
2025-02-13
DOI
https://doi.org/10.4171/zaa/1793
Primary Topic
Advanced Banach Space Theory
Type
article
Field-Weighted Citation Impact
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article

On $2$-dominated operators on $\ell_{p}$ spaces

Dumitru Popa
Zeitschrift für Analysis und ihre Anwendungen
Advanced Banach Space Theory
article

On $2$-dominated operators on $\ell_{p}$ spaces

Dumitru Popa
article en

Abstract

We use the Maurey factorization theorem to obtain a new characterization of 2 -dominated operators on a product of \ell_{p} spaces. This new characterization is used to find the necessary and sufficient conditions for some diagonal operators on a product of \ell_{p} spaces to be 2 -dominated.

Zeitschrift für Analysis und ihre AnwendungenVol. 45(1)
Ovidius University (RO)
Openalex Percentile: Top 94%
Advanced Banach Space Theory
DOIOpen Access PDFOpenAlex
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On $2$-dominated operators on $\ell_{p}$ spaces — Dumitru Popa · Zeitschrift für Analysis und ihre Anwendungen (2025) | TGRS Research Map | TGRS