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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


Selfadjoint and Completely Symmetric Ope
✍ J. Puhl 📂 Article 📅 1979 🏛 John Wiley and Sons 🌐 English ⚖ 181 KB

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

Operator Ideals, Orthonormal Systems and
✍ Franziska Baur 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 429 KB

## 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

On Closed Ideals in Smooth Classes
✍ Vincent Thilliez 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 294 KB

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