The limit of the product of the parameterized exponentials of two operators |
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Authors: | Shmuel Friedland Gaspar Porta |
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Affiliation: | a Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, 322 Science and Engineering Offices, 851 S. Morgan St., Chicago, IL 60607-7045, USA;b Department of Mathematics, Colgate University, Hamilton, NY 13346, USA |
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Abstract: | Given two self-adjoint, positive, compact operators A,B on a separable Hilbert space, we show that there exists a self-adjoint, positive, compact operator C commuting with B such that Full-size image . |
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Keywords: | Golden– Thompson inequality Log-convexity of spectral radius Limit operator |
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