Estimates for the spectrum near algebraic elements

Author:

Chen Yin,Nokrane Abdelkrim,Ransford Thomas

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference9 articles.

1. B. Aupetit, A Primer on Spectral Theory, Springer, New York, 1991

2. B. Aupetit, Spectrum-preserving linear mappings between Banach algebras or Banach–Jordan algebras, preprint

3. Local behaviour of the spectrum near algebraic elements;Aupetit;Linear Algebra Appl.,1983

4. R. Bhatia, Matrix Analysis, Springer, New York, 1997

5. An optimal bound for the spectral variation of two matrices;Elsner;Linear Algebra Appl.,1985

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1. Explicit upper bounds for the spectral distance of two trace class operators;Linear Algebra and its Applications;2015-02

2. Green functions of the spectral ball and symmetrized polydisk;Journal of Mathematical Analysis and Applications;2011-05

3. Inégalité de Borel-Carathéodory et lemme de schwarz pour les multifonctions analytiques;Complex Variables, Theory and Application: An International Journal;2004-08-15

4. Counterexample to a conjecture of Elsner on the spectral variation of matrices;Linear Algebra and its Applications;2002-07

5. Spectral Characterization of Algebraic Elements;Bulletin of the London Mathematical Society;2001-01

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