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Multiple summing operators on Banach spaces

✍ Scribed by David Pérez-Garcı́a; Ignacio Villanueva

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
129 KB
Volume
285
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this paper, we improve some previous results about multiple p-summing multilinear operators by showing that every multilinear form from L 1 spaces is multiple p-summing for 1 p 2. The proof is based on the existence of a predual for the Banach space of multiple p-summing multilinear forms. We also show the failure of the inclusion theorem in this class of operators and improve some results of Y. Meléndez and A. Tonge about dominated multilinear operators.

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