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Separation of spectra for block triangles


Authors: Robin Harte and Cora Stack
Journal: Proc. Amer. Math. Soc. 136 (2008), 3159-3162
MSC (2000): Primary 47A10
DOI: https://doi.org/10.1090/S0002-9939-08-09272-1
Published electronically: March 11, 2008
MathSciNet review: 2407079
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Abstract | References | Similar Articles | Additional Information

Abstract: Separation of the spectra of the diagonal elements of a block triangle corresponds to comparison with its fundamental projection.


References [Enhancements On Off] (What's this?)

  • 1. R. E. Harte, Invertibility and singularity for bounded linear operators, Marcel Dekker, 1988. MR 0920812 (89d:47001)
  • 2. R. E. Harte, Invertibility and singularity of operator matrices, Proc. Royal Irish Acad. 88A (1988), 103-118. MR 986217 (90a:15019)
  • 3. R. E. Harte, Block diagonalization in Banach algebras, Proc. Amer. Math. Soc. 129 (2000), 181-190. MR 1784022 (2001k:47013)
  • 4. R. E. Harte and C. M. Stack, Invertibility for spectral triangles, Operators and Matrices 1 (2007), 445-453.

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Additional Information

Robin Harte
Affiliation: School of Mathematics, Trinity College, Dublin, Ireland
Email: rharte@maths.tcd.ie

Cora Stack
Affiliation: Department of Mathematics, Institute of Technology at Tallaght, Dublin, Ireland
Email: cora.stack@ittdublin.ie

DOI: https://doi.org/10.1090/S0002-9939-08-09272-1
Keywords: Banach algebra, separation of spectra, block matrices.
Received by editor(s): January 30, 2007
Received by editor(s) in revised form: June 14, 2007
Published electronically: March 11, 2008
Communicated by: Joseph A. Ball
Article copyright: © Copyright 2008 American Mathematical Society

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