A Characterization of Normal Operators.
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WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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Let A be a bounded linear operator in a Hilbert space. If A is normal then logabsolute value of e to the Atu and logabsolute value of e to the A prime tu are convex functions for all u not equal to 0. In this paper we prove that these properties characterize normal operators. Author
- Theoretical Mathematics