k-HYPONORMALITY OF MULTIVARIABLE WEIGHTED SHIFTS

By R. Curto, Sang Hoon Lee, Jasang Yoon. 2005

56 citations recorded by the source corpus.

We characterize joint k-hyponormality for 2-variable weighted shifts. Using this characterization we construct a family of examples which establishes and illustrates the gap between k-hyponormality and (k+1)-hyponormality for each k⩾1. As a consequence, we obtain an abstract solution to the Lifting Problem for Commuting Subnormals.

Subfields: Algebra and Number Theory, Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/ee66c7d8e6f530719598d17b7e8363eb79487332

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Kais Feki
2. Zenon Jan Jablo'nski
3. I. Jung
4. Jan Stochel

In Applied Mathematics

1. Kais Feki
2. Jan Stochel
3. Zenon Jan Jablo'nski
4. I. Jung
5. Sid Ahmed Ould Ahmed Mahmoud
6. Hamadi Baklouti

In Mathematical Physics

1. Jan Stochel
2. Zenon Jan Jablo'nski
3. Kais Feki
4. I. Jung
5. Sid Ahmed Ould Ahmed Mahmoud
6. Hamadi Baklouti

Citations in the corpus

• Joint normality of operators in semi-Hilbertian spaces (2020, background): “One may see [3,4] and their references for the background.”
• Weighted shifts on directed trees (2009, background): “} does have a subnormal ∞-step backward extension (see [20, 42, 22] for more examples; see also [54] for subnormal backward extensions of general subnormal operators and [21, 24, 23] for subnormal backward extensions of two-variable weighted shifts).”