On hermitian polynomial optimization |
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Authors: | Mihai Putinar |
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Affiliation: | (1) Department of Mathematics, University of California, Santa Barbara, CA, 93106, U.S.A |
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Abstract: | We compare three levels of algebraic certificates for evaluating the maximum modulus of a complex analytic polynomial, on a compact semi-algebraic set. They are obtained as translations of some recently discovered inequalities in operator theory. Although they can be stated in purely algebraic terms, the only known proofs for these decompositions have a transcendental character. Received: 27 June 2005 |
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Keywords: | 47A12 13J30 46N10 65K10 |
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