|
Separation of spectra for block triangles
Author(s):
Robin
Harte;
Cora
Stack
Journal:
Proc. Amer. Math. Soc.
136
(2008),
3159-3162.
MSC (2000):
Primary 47A10
Posted:
March 11, 2008
MathSciNet review:
2407079
Retrieve article in:
PDF
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:
-
- 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.
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical
Society
with
MSC (2000):
47A10
Retrieve articles in all Journals with
MSC (2000):
47A10
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:
10.1090/S0002-9939-08-09272-1
PII:
S 0002-9939(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
Posted:
March 11, 2008
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2008,
American Mathematical Society
|
