Schur Multipliers and Operator-valued Foguel-hankel Operators
نویسنده
چکیده
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 similar to contractions. The aim of this note is to prove some partial results concerning this open problem. The present note is a sequel of [DP] where this problem is studied. A certain familiarity with [DP] is supposed. For the convenience of the reader some notation and known facts are recalled below.
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تاریخ انتشار 2005