## Abstract It is wellβknown that an operator __T__ β L(__E, F__) is strictly singular if β₯__T__~__x__~β₯β§Ξ»β₯__x__β₯ on a subspace __Z__ β __E__ implies dim __Z__ < + β. The present paper deals with ideals of operators defined by a condition β β₯__T__~__x__~β₯β§Ξ»β₯__x__β₯ on an infiniteβdimensional subspac
Composition Operators Belonging to Operator Ideals
β Scribed by Thomas Domenig
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 181 KB
- Volume
- 237
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
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
## 0. htroductio11 I i i 1967 R. 31. DIDLEY [4] introduced the notion of so-called CrC-set.s. These are sul)sets of a HILRERY space on which the canonical linear GAtrssian process on This HII~HERT space has a sample-coiitin~ious version. DVULEY fotiiicl a sufficient c.ondition for a set to l)e a GC