|
Skew exactness perturbation
Author(s):
Robin
Harte;
David
Larson
Journal:
Proc. Amer. Math. Soc.
132
(2004),
2603-2611.
MSC (2000):
Primary 47A10
Posted:
April 21, 2004
Retrieve article in:
PDF
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
Abstract:
We offer a perturbation theory for finite ascent and descent properties of bounded operators.
References:
-
- 1.
- J. Anderson, On normal derivations, Proc. Amer. Math. Soc. 38 (1973) 136-140. MR 47:875
- 2.
- M.R. Embry, Factorization of operators on Banach spaces, Proc. Amer. Math. Soc. 38 (1973) 587-590. MR 47:849
- 3.
- C.-K. Fong, Normal operators on Banach spaces, Glasgow Math. Jour. 20 (1979) 163-168. MR 80e:47020
- 4.
- S. Grabiner, Generalizations of Fredholm operators, Banach algebras '97 pp 170-187, de Gruyter 1998. MR 99i:47022
- 5.
- R.E. Harte, Berberian-Quigley and the ghost of a spectral mapping theorem, Proc. Royal Irish Acad. 78A (1978) 63-68. MR 80b:47004
- 6.
- R.E. Harte, Almost open mappings between normed spaces, Proc. Amer. Math. Soc. 90 (1984) 243-249. MR 85b:47024
- 7.
- R.E. Harte, Almost exactness between normed spaces, Proc. Amer. Math. Soc. 100 (1987) 257-265. MR 88g:47004
- 8.
- R.E. Harte, Invertibility and singularity, Dekker, New York 1988.
- 9.
- R.E. Harte, Eine Kleine Gapmusik, PanAmerican Jour. 2 (1992) 101-102. MR 92k:47003
- 10.
- R.E. Harte, Taylor exactness and Kaplansky's lemma, Jour. Op. Th. 25 (1991) 399-416. MR 94d:47002
- 11.
- R.E. Harte, Exactness plus skew exactness equals invertibility, Proc. Royal Irish Acad. 97A (1997) 15-18. MR 99h:46085
- 12.
- R.E. Harte, Variations on a theme of Kaplansky, Matematicki Vesnik (to appear).
- 13.
- D. Han, D.R. Larson and Z. Pan, The triangular extension spectrum and algebraic extensions of operators, preprint.
- 14.
- D.A. Herrero, D.R. Larson and W.R. Wogen, Semitriangular operators, Houston Jour. Math. 17 (1991) 477-499. MR 92m:47037
- 15.
- A.M. Sinclair, Eigenvalues on the boundary of the numerical range, Pacific Jour. Math. 35 (1970) 231-234. MR 42:5086
- 16.
- A. Turnsek, Elementary operators and orthogonality, Linear Alg. Anal. 317 (2000) 207-216. MR 2002c:47081
- 17.
- K.W. Yang, Index of Fredholm operators, Proc. Amer. Math. Soc. 41 (1973) 329-330. MR 47:7492
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 2, Ireland
Email:
rharte@maths.tcd.ie
David
Larson
Affiliation:
Department of Mathematics, Texas A & M University, College Station, Texas 77843-3368
Email:
larson@math.tamu.edu
DOI:
10.1090/S0002-9939-04-06914-X
PII:
S 0002-9939(04)06914-X
Received by editor(s):
January 28, 2002
Received by editor(s) in revised form:
May 24, 2002
Posted:
April 21, 2004
Additional Notes:
The first author was partially supported by Enterprise Ireland grant number IC/2001/027
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2004,
American Mathematical Society
|
Comments: webmaster@ams.org