Title: Cohen and multiple Cohen strongly summing multilinear operators
Abstract: AbstractConsidering the successful theory of multiple summing multilinear operators as a prototype, we introduce the classes of multiple Cohen strongly p-summing multilinear operators and polynomials. The adequacy of these classes under the viewpoint of the theory of multilinear and polynomial ideals and holomorphy types is discussed in detail.Keywords: Cohen strongly p-summing operatorsfull general Pietsch Domination theoremoperator idealsideal of polynomialsAMS Subject Classifications: 46G2547H6047L22 AcknowledgmentsThis paper contains a part of the author's doctoral thesis written under supervision of Professor Daniel Pellegrino to whom the author is very grateful. The author expresses his gratitude to the referee for their careful reading, advice and many suggestions and corrections that led to several improvements in the original manuscript.
Publication Year: 2013
Publication Date: 2013-03-26
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 22
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