We study relations between Schatten classes and product operator ideals, where one of the factors is the Banach ideal Ξ E,2 of (E, 2)-summing operators, and where E is a Banach sequence space with 2 β E. We show that for a large class of 2-convex symmetric Banach sequence spaces the product ideal Ξ E,
β¦ LIBER β¦
Extensions of operator ideals
β Scribed by Albrecht Pietsch
- Publisher
- John Wiley and Sons
- Year
- 1976
- Tongue
- English
- Weight
- 419 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0025-584X
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The purpose of the present paper is to answer a problem raised by A. PIETSCH i n [3]. Looking for the "best" generalization of HILBERT-SCHMIDT operators to BANACH spaces it is natural to require that such an operator ideal should be selfadjoint and completely symmetric. We show the existence of diff