On Kato non-singularity
Studia Mathematica (1996)
- Volume: 117, Issue: 2, page 107-114
- ISSN: 0039-3223
Access Full Article
topAbstract
topHow to cite
topHarte, Robin. "On Kato non-singularity." Studia Mathematica 117.2 (1996): 107-114. <http://eudml.org/doc/216245>.
@article{Harte1996,
abstract = {An exactness lemma offers a simplified account of the spectral properties of the "holomorphic" analogue of normal solvability.},
author = {Harte, Robin},
journal = {Studia Mathematica},
keywords = {holomorphic analogue of normal solvability; exactness lemma; spectral properties},
language = {eng},
number = {2},
pages = {107-114},
title = {On Kato non-singularity},
url = {http://eudml.org/doc/216245},
volume = {117},
year = {1996},
}
TY - JOUR
AU - Harte, Robin
TI - On Kato non-singularity
JO - Studia Mathematica
PY - 1996
VL - 117
IS - 2
SP - 107
EP - 114
AB - An exactness lemma offers a simplified account of the spectral properties of the "holomorphic" analogue of normal solvability.
LA - eng
KW - holomorphic analogue of normal solvability; exactness lemma; spectral properties
UR - http://eudml.org/doc/216245
ER -
References
top- [1] R. H. Bouldin, Closed range and relative regularity for products, J. Math. Anal. 61 (1977), 397-403. Zbl0367.47020
- [2] S. R. Caradus, Operator Theory of the Pseudoinverse, Queen's Papers in Pure and Appl. Math. 38, Queen's Univ., Kingston, Ont., 1974.
- [3] I. Colojoară and C. Foiaş, Theory of Generalized Spectral Operators, Gordon and Breach, New York, 1968. Zbl0189.44201
- [4] J. K. Finch, The single-valued extension property on a Banach space, Pacific J. Math. 58 (1975), 61-69. Zbl0315.47002
- [5] K. H. Förster, Über die Invarianz einiger Räume, die zum Operator gehören, Arch. Math. (Basel) 17 (1966), 56-64. Zbl0127.07903
- [6] S. Goldberg, Unbounded Linear Operators, McGraw-Hill, New York, 1966. Zbl0148.12501
- [7] R. E. Harte, Invertibility and Singularity, Dekker, New York, 1988.
- [8] R. E. Harte, Taylor exactness and Kato's jump, Proc. Amer. Math. Soc. 119 (1993), 793-801.
- [9] T. Kato, Perturbation theory for nullity, deficiency and other quantities of linear operators, J. Anal. Math. 6 (1958), 261-322. Zbl0090.09003
- [10] K. B. Laursen and M. Mbekhta, Closed range multipliers and generalized inverses, Studia Math. 107 (1993), 127-135. Zbl0812.47031
- [11] K. B. Laursen and M. M. Neumann, Local spectral theory and spectral inclusions, Glasgow Math. J. 36 (1994), 331-343. Zbl0851.47002
- [12] W. Y. Lee, A generalization of the punctured neighborhood theorem, Proc. Amer. Math. Soc. 117 (1993), 107-109. Zbl0780.47004
- [13] M. Mbekhta, Généralisation de la décomposition de Kato aux opérateurs paranormaux et spectrales, Glasgow Math. J. 29 (1987), 159-175. Zbl0657.47038
- [14] M. Mbekhta, Résolvant généralisé et théorie spectrale, J. Operator Theory 21 (1989), 69-105. Zbl0694.47002
- [15] M. Mbekhta, Sur la théorie spectrale locale et limite des nilpotents, Proc. Amer. Math. Soc. 110 (1990), 621-631.
- [16] M. Mbekhta, Local spectrum and generalized spectrum, ibid. 112 (1991), 457-463. Zbl0739.47002
- [17] M. Mbekhta et A. Ouahab, Opérateur s-régulier dans un espace de Banach et théorie spectrale, Publ. Inst. Rech. Math. Av. Lille 22 (1990), XII.
- [18] V. Müller, On the regular spectrum, J. Operator Theory 31 (1995), 366-380.
- [19] V. Rakočević, Generalized spectrum and commuting compact perturbations, Proc. Edinburgh Math. Soc. 36 (1993), 197-209. Zbl0794.47003
- [20] P. Saphar, Contribution à l'étude des applications linéaires dans un espace de Banach, Bull. Soc. Math. France 92 (1964), 363-384. Zbl0139.08502
- [21] C. Schmoeger, Ein Spektralabbildungssatz, Arch. Math. (Basel) 55 (1990), 484-489.
- [22] C. Schmoeger, On isolated points of the spectrum of a bounded linear operator, Proc. Amer. Math. Soc. 117 (1993), 715-719. Zbl0780.47019
- [23] C. Schmoeger, On a generalized punctured neighborhood theorem in L(X), ibid. 123 (1995), 1237-1240. Zbl0836.47002
- [24] T. Starr and T. West, A positive contribution to operator theory, Bord na Mona Bull. 5 (1938), 6.
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.