A note on Anderson's theorem in the infinite-dimensional setting

DOI10.1016/j.jmaa.2018.01.002zbMath1485.47010arXiv1705.08223OpenAlexW2964270248MaRDI QIDQ1706362

Riddhick Birbonshi, P. D. Srivastava, Ilya M. Spitkovskij

Publication date: 22 March 2018

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

Full work available at URL: https://arxiv.org/abs/1705.08223

zbMATH Keywords

numerical rangecompact operatorweighted shiftnormal operator

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Numerical range, numerical radius (47A12) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items

Unnamed Item ⋮ Numerical ranges encircled by analytic curves ⋮ Faces of sets of operators with the numerical range in a prescribed polyhedron ⋮ Anderson's theorem and \(A\)-spectral radius bounds for semi-Hilbertian space operators

Cites Work

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• On the geometry of numerical ranges
• Condition for the numerical range to contain an elliptic disc
• The Numerical Range of a Weighted Shift
• Anderson’s theorem for compact operators
• Numerical Range of a Weighted Shift with Periodic Weights
• Approximate Point Spectrum of a Weighted Shift