Selfadjoint and Completely Symmetric Operator Ideals
β Scribed by J. Puhl
- Publisher
- John Wiley and Sons
- Year
- 1979
- Tongue
- English
- Weight
- 181 KB
- Volume
- 93
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
β¦ Synopsis
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 different operator ideals having both properties. In order to prove this we develop a new-interj)olatioii method for normed operator ideals.
π SIMILAR VOLUMES
## Abstract Given an orthonormal system __B__ in some __L__^2^(__u__) we consider the operator ideals II~B~ and __T__~B~ of __B__βsumming and __B__βtype operators and some related ideals. We characterize by certain weak compactness properties when II~B~ is equal to the operator ideal II~2~ of 2βsum
On A(P, N)-nuclearity and operator ideals By ESA NELIMAECKJU of Helsinki (Finland) (Eingegangen am 3.3. 1980) Introduction. In [8] RAMANUJAN and TERZIOQLU defined A,(&)-nuclear locally convex spaces associated with a power series space &(a), and they showed that many of the stability properties whic
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,