Real interpolation and closed operator ideals
✍ Scribed by Fernando Cobos; Luz M. Fernández-Cabrera; Antonio Manzano; Antón Martı́nez
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 173 KB
- Volume
- 83
- Category
- Article
- ISSN
- 0021-7824
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📜 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
## Abstract Given an orthonormal system __B__ in some __L__^2^(__u__) we consider the operator ideals II~B~ and __T__~B~ of __B__‐summing and __B__‐type operators and some related ideals. We characterize by certain weak compactness properties when II~B~ is equal to the operator ideal II~2~ of 2‐sum
We study closedness properties of ideals generated by real - analytic functions in some subrings \(\mathcal{C}\) of \(C^{\infty}(\Omega)\), where \(\Omega\) is an open subset of \(\mathbb{R}^{n}\). In contrast with the case \(\mathcal{C}=C^{\infty}(\Omega)\), which has been clarified by famous works