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Limiting variants of Krasnosel?ski??s compact interpolation theorem |
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| Authors: | David E Edmunds Bohumír Opic |
| Institution: | 1. Department of Mathematics, University of Sussex, Pevensey I, Brighton BN1 9QH, Sussex, UK;2. Department of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 186 75 Prague 8, Czech Republic |
| Abstract: | We illustrate how limiting variants of Krasnosel?ski??s compact interpolation theorem may be obtained. As a special case of our results it follows that compactness is preserved on certain Lorentz–Zygmund spaces close to the end-point Lebesgue spaces. |
| Keywords: | Compact operators Interpolation K-functional Type of interpolation method Lebesgue spaces Lorentz&ndash Zygmund spaces |
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