Quantitative approach to weak noncompactness in the polygon interpolation method

DOI10.1017/S0004972700034250zbMath1062.46019OpenAlexW2074852225MaRDI QIDQ4470191

Andrzej Kryczka

Publication date: 22 June 2004

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700034250

zbMATH Keywords

measure of weak noncompactnesspolygon interpolation\(K\)-method\(J\)-method

Mathematics Subject Classification ID

Interpolation between normed linear spaces (46B70) Abstract interpolation of topological vector spaces (46M35)

Related Items (4)

A quantitative version of James's Compactness Theorem ⋮ Arithmetic separation and Banach-Saks sets ⋮ Compactness, Optimality, and Risk ⋮ Measures of weak noncompactness in Banach spaces

Cites Work

• Weakly compact operators and interpolation
• Interpolation of weakly compact operators
• Interpolation between sum and intersection of Banach spaces
• Closed operator ideals and interpolation
• A theory of complex interpolation for families of Banach spaces
• One-sided compactness results for Aronszajn-Gagliardo functors
• On interpolation of weakly compact operators
• Interpolation of limited and weakly compact operators on families of Banach spaces
• Interpolation of several Banach spaces
• Norm estimates for interpolation methods defined by means of polygons
• On a class of interpolation spaces
• Duality of the weak essential norm
• Measure of weak noncompactness under complex interpolation
• Interpolation of Compact Operators: The Multidimensional Case
• Seminorms related to weak compactness and to Tauberian operators
• Interpolation of 2 ^d Banach Spaces and the Calderón Spaces X (E )
• Interpolation theory and measures related to operator ideals

This page was built for publication: Quantitative approach to weak noncompactness in the polygon interpolation method