Maximal numerical range and quadratic elements in a C✻-algebra

DOI10.7153/oam-2021-15-93OpenAlexW3214966027MaRDI QIDQ5865500

El Hassan Benabdi, M. K. Chraïbi, Abderrahim Baghdad, Mohamed Barraa

Publication date: 9 June 2022

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/oam-2021-15-93

zbMATH Keywords

numerical range\(C^\ast\)-algebraquadratic operatormaximal numerical range

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Numerical range, numerical radius (47A12) General theory of (C^*)-algebras (46L05)

Cites Work

• A new approach to numerical radius of quadratic operators
• A primer on spectral theory
• Matricial ranges of quadratic operators
• Growth conitions and the numerical range in a Banach algebra
• The norm of a derivation
• Essential numerical range and maximal numerical range of the Aluthge transform
• Scalar approximants of quadratic operators with applications
• A note on the maximal numerical range
• Spectral Theory of Bounded Linear Operators
• On the maximal numerical range of a hyponormal operator
• An observation about normaloid operators
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