Interpolation of ideal measures by abstract \(K\) and \(J\) spaces

DOI10.1007/s10114-007-0948-2zbMath1134.46007OpenAlexW1969007996MaRDI QIDQ2385325

Luz M. Fernández-Cabrera, Antón Martínez

Publication date: 12 October 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-007-0948-2

zbMATH Keywords

real interpolationoperator idealsshift operatorsideal measures

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)

Related Items (2)

Interpolation of the measure of non-compactness of bilinear operators among quasi-Banach spaces ⋮ Mean separations in Banach spaces under abstract interpolation and extrapolation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Abstract K and J spaces
• Real interpolation of Banach algebras and factorization of weakly compact homomorphisms
• On interpolation of Banach algebras and factorization of weakly compact homomorphisms
• On a measure of non-compactness for some classical 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
• Factoring weakly compact operators
• Real interpolation and closed operator ideals.
• On interpolation of Asplund operators
• Geometric aspects of convex sets with the Radon-Nikodym property
• BEST POSSIBLE COMPACTNESS RESULTS OF LIONS–PEETRE TYPE
• Seminorms related to weak compactness and to Tauberian operators
• Interpolation with a parameter function.
• Extreme Estimates for Interpolated Operators by the Real Method
• Interpolation theory and measures of non‐compactness
• A function parameter in connection with interpolation of Banach spaces.
• On interpolation of strictly singular operators, strictly co-singular operators and related operator ideals
• Measure of weak noncompactness and real interpolation of operators
• Compact operators between K- and J-spaces
• Representing non-weakly compact operators
• Real Interpolation and Measure of Weak Noncompactness
• Remarks on Interpolation Properties of the Measure of Weak Non ‐‐ Compactness and Ideal Variations
• Interpolation theory and measures related to operator ideals
• Abstract K and J spaces and measure of non‐compactness
• Measure of non-compactness of operators interpolated by the real method

This page was built for publication: Interpolation of ideal measures by abstract \(K\) and \(J\) spaces