DILATIONS FOR POLYNOMIALLY BOUNDED OPERATORS EXNER, GEORGE R.; JO, YOUNG SOO; JUNG, IL BONG;
Abstract
We discuss a certain geometric property X of dual algebras generated by a polynomially bounded operator and property (, , =) these are central to the study of -systems of simultaneous equations of weak-continuous linear functionals on a dual algebra. In particular, we prove that if T satisfies a certain sequential property, then T (H) if and only if the algebra A has property X, which is an improvement of Li-Pearcy theorem in [8].
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