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Multipliers of Schatten classes

โœ Scribed by Roshdi Khalil


Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
340 KB
Volume
47
Category
Article
ISSN
0022-1236

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We study relations between Schatten classes and product operator ideals, where one of the factors is the Banach ideal ฮ E,2 of (E, 2)-summing operators, and where E is a Banach sequence space with 2 โ†’ E. We show that for a large class of 2-convex symmetric Banach sequence spaces the product ideal ฮ E,

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## Abstract We present some results on factorization of multilinear mappings and polynomials of Schatten class type ๐’ฎ~2~ through infinite dimensional Banach spaces, โ„’๏ธ~1~ and โ„’๏ธ~โˆž~ spaces. We conclude this work with a factorization result for holomorphic mappings of Schatten class type ๐’ฎ~2~. (ยฉ 200