Operator trigonometry

DOI10.1080/03081089408818318zbMath0817.47001OpenAlexW4247878900MaRDI QIDQ4322514

Karl Gustafson

Publication date: 9 February 1995

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081089408818318

zbMATH Keywords

operator trigonometrynumerical range

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12)

Related Items

Antieigenvalues ⋮ Operator trigonometry of the model problem ⋮ Quasi-orders on the positive cone of aC^∗ ⋮ An extended operator trigonometry ⋮ Matrix trigonometry ⋮ Computation of antieigenvalues of bounded linear operators via centre of mass ⋮ Probability, geometry, and irreversibility in quantum mechanics

Cites Work

• Unnamed Item
• Unnamed Item
• Dissipative operators in a Banach space
• Antieigenvalues: Method of estimation and calculation
• Antieigenvalue bounds
• Extending the Kantorovic inequality to normal matrices
• Numerical range and accretivity of operator products
• Contraction semi-groups in a function space
• Positive (noncommuting) operator products and semigroups
• Angular localization of the spectrum of a multiplicative integral in a Hilbert space
• Some perturbation theorems for nonnegative contraction semigroups
• An identity for normal-like operators
• A minimax inequality for operators and a related numerical range
• Multiplicative perturbation of nonlinear m-accretive operators
• A perturbation lemma
• The angle of an operator and positive operator products

This page was built for publication: Operator trigonometry