The Taylor Spectrum of Pairs of Isometries
Abstract
In the paper we fully describe the Taylor spectrum of pairs of isometries defined by diagrams. In most cases both isometries in such pairs have nontrivial shift part, and its Taylor spectrum is a proper subset (of Lebesgue measure in $$(0,\pi ^2)$$ ) of the closed bidisk. In particular, there are pairs of isometries which spectrum is equal to $$\{(\mu ,\lambda )\in \overline{\mathbb {D}}^2: |\mu |^a\le |\lambda |\le |\mu |^b\}$$ for any $$0
Fields of Study & Subjects
Advanced Topics in Algebra
Mathematics and Applications
Holomorphic and Operator Theory
Publication details
- Journal / source
- Integral Equations and Operator Theory
- Publisher
- Springer Science and Business Media LLC
- Volume
- 98
- Issue
- 3
- Publication date
- 4 August 2026
- Language
- EN