Gelfand Numbers of Identity Operators Between Symmetric Sequence Spaces |
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| Authors: | Aicke Hinrichs Carsten Michels |
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| Institution: | (1) Department of Mathematics, Friedrich-Schiller-University, Ernst-Abbe-Platz 2, D-07743 Jena, Germany;(2) Institute for Mathematics, Faculty V, Carl-von-Ossietzky-University, Postfach 2503, D-26111 Oldenburg, Germany |
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| Abstract: | Complementing and generalizing classical as well as recent results, we prove asymptotically optimal formulas for the Gelfand
and approximation numbers of identities En ↪ Fn, where En and Fn denote the n-th sections of symmetric quasi-Banach
sequence spaces E and F satisfying certain interpolation assumptions. We illustrate our
results by considering classical spaces such as Lorentz and Orlicz sequence spaces.
Supported by DFG grant Hi 584/2-2. |
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| Keywords: | Primary 47B06 Secondary 46B07 46B70 47B37 |
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