On the Cohen strongly p-summing multilinear operators

By D. Achour, Lahcène Mezrag. 2007

54 citations recorded by the source corpus.

Abstract In this paper, we introduce and study a new concept of summability in the category of multilinear operators, which is the Cohen strongly p-summing multilinear operators. We prove a natural analog of the Pietsch domination theorem and we compare the notion of p-dominated multilinear operators with this class by generalizing a theorem of Bu–Cohen.

Subfields: Applied Mathematics, Mathematical Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/96f8cc16c7ff3938a7a365939d4e894b3a24eab6

How researchers see this paper

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In Applied Mathematics

1. Daniel Pellegrino
2. J. B. Seoane-Sep'ulveda
3. J. Santos

In Mathematical Physics

1. Daniel Pellegrino
2. J. B. Seoane-Sep'ulveda
3. J. Santos

In Statistics and Probability

1. J. Santos
2. J. B. Seoane-Sep'ulveda
3. Daniel Pellegrino

Citations in the corpus

• Some techniques on nonlinear analysis and applications (2010, background): “[1, 17, 24, 28, 29, 40, 41, 50]) and, since 2009, in [14, 15, 53] some attempts were made in the direction of showing that one unique PDT can be stated in such a general way that all the possible Pietsch”