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Optimal Weyl inequality in Banach spaces |
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| Authors: | Aicke Hinrichs |
| Affiliation: | Mathematisches Institut, FSU Jena, Ernst-Abbe-Platz 1-3, D-07743 Jena, Germany |
| Abstract: | A well-known multiplicative Weyl inequality states that the sequence of eigenvalues  and the sequence of approximation numbers  of any compact operator  in a Banach space satisfy  for all  . We prove here that the constant  is optimal, which solves a longstanding problem. |
| Keywords: | Weyl inequality eigenvalue estimates approximation numbers $s$-numbers. |
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