Subnormality of 2-variable weighted shifts with diagonal core

Authors

• Raúl Enrique Curto, University of Iowa
• Sang Hoon Lee, Chungnam National University
• Jasang Yoon, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

3-1-2013

Abstract

The Lifting Problem for Commuting Subnormals (LPCS) asks for necessary and sufficient conditions for a pair of subnormal operators on Hilbert space to admit commuting normal extensions. Given a 2-variable weighted shift T with diagonal core, we prove that LPCS is soluble for T if and only if LPCS is soluble for some power T^m(m∈Z+²,m≡(m1,m2),m1,m2≥1). We do this by first developing the basic properties of diagonal cores, and then analyzing how a diagonal core interacts with the rest of the 2-variable weighted shift.

Comments

© 2013 Académie des sciences.

Recommended Citation

Curto, Raúl Enrique, Sang Hoon Lee, and Jasang Yoon. "Subnormality of 2-variable weighted shifts with diagonal core." Comptes Rendus Mathematique 351, no. 5-6 (2013): 203-207. https://doi.org/10.1016/j.crma.2013.03.002

First Page

203

Last Page

207

Publication Title

Comptes Rendus Mathematique

DOI

10.1016/j.crma.2013.03.002