Measure of weak noncompactness and real interpolation of operators
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Publication:4761489
DOI10.1017/S0004972700018906zbMath1001.46008OpenAlexW2055461367MaRDI QIDQ4761489
Mariusz Szczepanik, Stanisław Prus, Andrzej Kryczka
Publication date: 11 December 2002
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0004972700018906
Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Linear operators defined by compactness properties (47B07) Interpolation between normed linear spaces (46B70) Compactness in topological linear spaces; angelic spaces, etc. (46A50)
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Cites Work
- Unnamed Item
- Interpolation of weakly compact operators
- On measures of weak noncompactness
- Closed operator ideals and interpolation
- Real and complex interpolation and extrapolation of compact operators
- Nonstandard methods in fixed point theory
- On interpolation of weakly compact operators
- Weak compactness and reflexivity
- On a class of interpolation spaces
- Seminorms related to weak compactness and to Tauberian operators
- Extreme Estimates for Interpolated Operators by the Real Method
- Interpolation theory and measures of non‐compactness
- 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