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Quasi completely continuous multilinear operators

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2010

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Cambridge University Press
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Peralta Pereira, A. M., Villanueva Díez, I., Wright J. D. M. & Ylinen, K. «Quasi-Completely Continuous Multilinear Operators». Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol. 140, n.o 3, junio de 2010, pp. 635-49. DOI.org (Crossref), https://doi.org/10.1017/S030821050900047X.

Abstract

We introduce the concept of quasi-completely continuous multilinear operators and use this concept to characterize, for a wide class of Banach spaces X1, …, Xk, the multilinear operators T : X1 × … × Xk → X with an X-valued Aron–Berner extension.

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