منابع مشابه
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An example of a polynomially bounded operator on Hilbert space not similar to a contraction was found recently by Pisier [Pi]. An operatortheoretic proof that certain CAR-valued Foguel-Hankel operators are polynomially bounded operators but not similar to contractions was given by Davidson and Paulsen [DP]. It is still an open question [DP] to characterize operators in this family which are sim...
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We characterize when a Hankel operator and a Toeplitz operator have a compact commutator. Let dσ(w) be the normalized Lebesgue measure on the unit circle ∂D. The Hardy space H is the subspace of L(∂D, dσ), denoted by L, which is spanned by the space of analytic polynomials. So there is an orthogonal projection P from L onto the Hardy space H, the so-called Hardy projection. Let f be in L∞. The ...
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2002
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-002-0339-z