Functional calculus for diagonalizable matrices

DOI10.1080/03081087.2013.777440zbMath1303.47021arXiv1211.7247OpenAlexW1964250959MaRDI QIDQ5409961

Piotr Niemiec

Publication date: 15 April 2014

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

Full work available at URL: https://arxiv.org/abs/1211.7247

zbMATH Keywords

functional calculusdivided differencesmooth functiondiagonalizable matrixscalar operator

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Functional calculus for linear operators (47A60)

Related Items (1)

A non-holomorphic functional calculus and the complex conjugate of a matrix

Cites Work

• Functions of normal operators under perturbations
• Über monotone Matrixfunktionen
• Separate and joint similarity to families of normal operators
• Continuity of the map $S \to \left| S \right|$ for linear operators
• Derivatives, difference quotients, and Taylor’s formula
• A Commutativity Theorem for Normal Operators
• On Normal Operators in Hilbert Space

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