DILATIONS FOR POLYNOMIALLY BOUNDED OPERATORS

- Journal title : Journal of the Korean Mathematical Society
- Volume 42, Issue 5, 2005, pp.893-912
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2005.42.5.893

Title & Authors

DILATIONS FOR POLYNOMIALLY BOUNDED OPERATORS

EXNER, GEORGE R.; JO, YOUNG SOO; JUNG, IL BONG;

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].

Keywords

polynomially bounded operator;dual operator algebra.;

Language

English

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