A characterization of normal operators |
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| Authors: | Shmuel Friedland |
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| Affiliation: | (1) Mathematics Research Center, University of Wisconsin-Madison, Madison, USA;(2) The Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel |
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| Abstract: | LetA be a bounded linear operator in a Hilbert space. IfA is normal then log ‖e Ai u‖ and log ‖e A·1 u‖ are convex functions for allu≠0. In this paper we prove that these properties characterize normal operators. Sponsored by the United States Army under Contract No. DAAG29-80-C-0041. |
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