Convolution factorability of bilinear maps and integral representations

DOI10.1016/j.indag.2018.06.003zbMath1423.46059OpenAlexW2810080218WikidataQ129587790 ScholiaQ129587790MaRDI QIDQ1782270

Ömer Gök, Ezgi Erdogan

Publication date: 20 September 2018

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2018.06.003

zbMATH Keywords

integral representationsummabilitybilinear operatorsfactorizationHilbert-Schmidt operatorszero product preserving map

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) (Spaces of) multilinear mappings, polynomials (46G25) Multilinear and polynomial operators (47H60)

Related Items

Factorization of multilinear operators defined on products of function spaces ⋮ Product factorable multilinear operators defined on sequence spaces ⋮ Convolution-factorable multilinear operators ⋮ Integral representation of product factorable bilinear operators and summability of bilinear maps on \(\mathcal{C}(K)\)-spaces

Cites Work

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• Convolution-continuous bilinear operators acting on Hilbert spaces of integrable functions
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• Variants of the Maurey-Rosenthal theorem for quasi Köthe function spaces
• Squares of Riesz spaces
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