Real interpolation and closed operator ideals.

DOI10.1016/j.matpur.2004.01.002zbMath1051.46013OpenAlexW79843805MaRDI QIDQ1429964

Luz M. Fernández-Cabrera, Antón Martínez, Antonio Manzano, Fernando Cobos

Publication date: 27 May 2004

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2004.01.002

zbMATH Keywords

weakly compact operatorsreal interpolationBanach-Saks operatorsRosenthal operators

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Interpolation between normed linear spaces (46B70) Operator ideals (47L20) Abstract interpolation of topological vector spaces (46M35)

Related Items (7)

Interpolation of ideal measures by abstract \(K\) and \(J\) spaces ⋮ On interpolation of Banach algebras and factorization of weakly compact homomorphisms ⋮ Interpolation of the measure of non-compactness of bilinear operators among quasi-Banach spaces ⋮ Weakly compact bilinear operators among real interpolation spaces ⋮ Mean separations in Banach spaces under abstract interpolation and extrapolation ⋮ On interpolation of Asplund operators ⋮ On an extreme class of real interpolation spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Abstract K and J spaces
• Interpolation of weakly compact operators
• Reiteration theorems for real interpolation and approximation spaces
• Interpolation of Caldéron and Ovčinnikov pairs
• Interpolation spaces not containing \(\ell ^ 1\)
• Closed operator ideals and interpolation
• Minimal and maximal methods of interpolation
• Some remarks on the reflexivity of the real interpolation spaces
• Factoring weakly compact operators
• Espaces d'interpolation réels: Topologie et géométrie
• On interpolation of weakly compact operators
• On some Banach lattices
• BEST POSSIBLE COMPACTNESS RESULTS OF LIONS–PEETRE TYPE
• Extreme Estimates for Interpolated Operators by the Real Method
• A Characterization of Banach Spaces Containing l ¹
• A Note on Regular Methods of Summability and the Banach-Saks Property
• A function parameter in connection with interpolation of Banach spaces.
• On interpolation of strictly singular operators, strictly co-singular operators and related operator ideals
• Interpolation theory and measures related to operator ideals
• Weak*-sequential closure and the characteristic of subspaces of conjugate Banach spaces

This page was built for publication: Real interpolation and closed operator ideals.