A characterization of P2(μ) ≠ L2(μ) |
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| Authors: | Tavan T Trent |
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| Institution: | Department of Mathematics, University of Alabama, University, Alabama 35486 USA |
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| Abstract: | It is shown that P2(μ) ≠ L2(μ) if and only if there exists a probability measure ν with ν ⊥ μ and 6pz.dfnc;1,ν ? Cz.dfnc;pz.dfnc;2,μ for all polynomials p and a fixed constant C < ∞. The relationship between this method and theorems of Berger and of Carey and Pincus concerning rationally cyclic vectors for powers of nonnormal subnormal Operators is examined. |
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