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The level sets of the resolvent norm and convexity properties of Banach spaces |
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| Authors: | Eugene Shargorodsky Stanislav Shkarin |
| Affiliation: | (1) Department of Mathematics, King’s College London, Strand, London, WC2R 2LS, UK;(2) Department of Pure Mathematics, Queen’s University Belfast, Belfast, BT7 1NN, UK |
| Abstract: | We construct a bounded linear operator on a separable, reflexive and strictly convex Banach space with the resolvent norm that is constant in a neighbourhood of zero. |
| Keywords: | KeywordHeading" >Mathematics Subject Classification (2000) Primary 47A10 Secondary 46B20 |
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