Rigidity of the numerical range of truncated shifts with isolated singularity on the unit circle

DOI10.1016/J.JMAA.2023.128042MaRDI QIDQ6150486

M. F. Gamal', László Kérchy

Publication date: 8 February 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

numerical rangerigidityinner functionHerglotz functionClark measuretruncated shift

Mathematics Subject Classification ID

Spaces and algebras of analytic functions of one complex variable (30Hxx) General theory of linear operators (47Axx) Entire and meromorphic functions of one complex variable, and related topics (30Dxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Determination of inner functions by their value sets on the circle
• Numerical range and Poncelet property.
• Numerical ranges of model operators and Clark measures
• One dimensional perturbations of restricted shifts
• Harmonic analysis of operators on Hilbert space
• Introduction to Model Spaces and their Operators
• Numerical range ofs(φ)
• Admissible Majorants for Model Subspaces of H², Part II: Fast Winding of the Generating Inner Function
• Hardy Spaces
• Uniqueness of the numerical range of truncated shifts
• Numerical Ranges of Hilbert Space Operators

This page was built for publication: Rigidity of the numerical range of truncated shifts with isolated singularity on the unit circle