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Bases in Spaces of Multilinear Forms over Banach Spaces

โœ Scribed by V. Dimant; I. Zalduendo

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
217 KB
Volume
200
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

We begin by giving, in Section 1, a number of conditions including compactness and weak sequential continuity, which are equivalent to the existence of monomial bases. We apply these equivalences and the Gon-zaloแŽJaramillo indexes to the problem of existence of monomial bases in spaces of multilinear forms over spaces with upper or lower p-bounds for 548

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## Abstract In the present paper we give conditions for Banach spaces of absolutely __p__โ€summing operators to have unconditional bases. In this case we obtain methods to estimate the ฯ€~__p__~โ€norm. Also we consider spaces of absolutely __p__โ€summing operators with โ€œbadโ€ structure, i.e., without lo