Journal article
Subnormality of 2-variable weighted shifts with diagonal core
Comptes rendus. Mathématique, Vol.351(5-6), pp.203-207
2013
DOI: 10.1016/j.crma.2013.03.002
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 ≡ ( m 1 , m 2 ) , m 1 , m 2 ⩾ 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.
Details
- Title: Subtitle
- Subnormality of 2-variable weighted shifts with diagonal core
- Creators
- Raúl Enrique CurtoSang Hoon LeeJasang Yoon
- Resource Type
- Journal article
- Publication Details
- Comptes rendus. Mathématique, Vol.351(5-6), pp.203-207
- DOI
- 10.1016/j.crma.2013.03.002
- ISSN
- 1631-073X
- Language
- English
- Date published
- 2013
- Academic Unit
- Mathematics
- Record Identifier
- 9983985980502771
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