Separation of spectra for block triangles
HTML articles powered by AMS MathViewer
- by Robin Harte and Cora Stack PDF
- Proc. Amer. Math. Soc. 136 (2008), 3159-3162 Request permission
Abstract:
Separation of the spectra of the diagonal elements of a block triangle corresponds to comparison with its fundamental projection.References
- Robin Harte, Invertibility and singularity for bounded linear operators, Monographs and Textbooks in Pure and Applied Mathematics, vol. 109, Marcel Dekker, Inc., New York, 1988. MR 920812
- Robin Harte, Invertibility and singularity of operator matrices, Proc. Roy. Irish Acad. Sect. A 88 (1988), no. 2, 103–118. MR 986217
- Robin Harte, Block diagonalization in Banach algebras, Proc. Amer. Math. Soc. 129 (2001), no. 1, 181–190. MR 1784022, DOI 10.1090/S0002-9939-00-05884-6
- R. E. Harte and C. M. Stack, Invertibility for spectral triangles, Operators and Matrices 1 (2007), 445–453.
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
- 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
- © Copyright 2008 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 136 (2008), 3159-3162
- MSC (2000): Primary 47A10
- DOI: https://doi.org/10.1090/S0002-9939-08-09272-1
- MathSciNet review: 2407079