Disintegration of measures and contractive 2-variable weighted shifts

Authors

• Jasang Yoon, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

10-1-2007

Abstract

In this paper we give a new proof of the existence of disintegration measures using the Hausdorff Moment Problem on a Borel measurable space X × Y, where X ≡ Y is the unit interval. Using this new tool, we can give an abstract solution, moreover, and a concrete necessary condition for the Lifting Problem for contractive 2-variable weighted shifts. In addition, we have a new, computable, and sufficient condition for the Lifting Problem for 2-variable weighted shifts, and an improved version of the Curto-Muhly-Xia conjecture [8] for 2-variable weighted shifts.

Comments

© 2007 Birkhäuser Verlag Basel/Switzerland.

Recommended Citation

Yoon, Jasang. "Disintegration of measures and contractive 2-variable weighted shifts." Integral Equations and Operator Theory 59, no. 2 (2007): 281-298. https://doi.org/10.1007/s00020-007-1509-x

First Page

281

Last Page

298

Publication Title

Integral Equations and Operator Theory

DOI

10.1007/s00020-007-1509-x