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Spectralizable Operators |
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| Authors: | Vladimir A. Strauss Carsten Trunk |
| Affiliation: | 1. Department of Pure and Applied Mathematics, Simón Bolívar University, Sartenejas-Baruta, Apartado 89.000, Caracas, Venezuela 2. Department of Mathematics, Technische Universit?t Ilmenau, Postfach 100565, D-98684, Ilmenau, Germany |
| Abstract: | We introduce the notion of spectralizable operators. A closed operator A in a Hilbert space is called spectralizable if there exists a non-constant polynomial p such that the operator p(A) is a scalar spectral operator in the sense of Dunford. We show that such operators belongs to the class of generalized spectral operators and give some examples where spectralizable operators occur naturally. Vladimir Strauss gratefully acknowledges support by DFG, Grant No. TR 903/3-1. |
| Keywords: | Mathematics Subject Classification (2000). Primary 47B40 Secondary 47A60, 47B50 |
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