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arXiv · 1004.2643

On summability of nonlinear mappings: a new approach

Daniel Pellegrino·Joedson Santos
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Abstract

The main goal of this paper is to characterize arbitrary nonlinear (non-multilinear) mappings $f:X_{1}\times...\times X_{n}\rightarrow Y$ between Banach spaces that satisfy a quite natural Pietsch Domination-type theorem around a given point $(a_{1},...,a_{n})\in$ $X_{1}\times...\times X_{n}$. As a consequence of our approach a notion of weighted summability arises naturally, which may be an interesting topic for further investigation.

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BibTeXRIS

Daniel Pellegrino, Joedson Santos. 2010-10-22. On summability of nonlinear mappings: a new approach. https://arxiv.org/abs/1004.2643

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