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Multiple summing operators on Banach spaces

Villanueva, Ignacio and Pérez García, David (2003) Multiple summing operators on Banach spaces. Journal of Mathematical Analysis and Applications, 285 (1). pp. 86-96. ISSN 0022-247X

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Abstract

In this paper, we improve some previous results about multiple p-summing multilinear operators by showing that every multilinear form from 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.


Item Type:Article
Uncontrolled Keywords:Mappings, Banach spaces
Subjects:Sciences > Mathematics > Mathematical analysis
ID Code:11821
Deposited On:14 Dec 2010 08:00
Last Modified:06 Feb 2014 09:11

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