@article{AFST_1988_5_9_1_5_0,
author = {Laura Burlando},
title = {Continuity of spectrum and spectral radius in algebras of operators},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {5--54},
publisher = {Universit\'e Paul Sabatier},
address = {Toulouse},
volume = {Ser. 5, 9},
number = {1},
year = {1988},
doi = {10.5802/afst.647},
mrnumber = {971812},
zbl = {0618.47003},
language = {en},
url = {https://afst.centre-mersenne.org/articles/10.5802/afst.647/}
}
TY - JOUR AU - Laura Burlando TI - Continuity of spectrum and spectral radius in algebras of operators JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 1988 SP - 5 EP - 54 VL - 9 IS - 1 PB - Université Paul Sabatier PP - Toulouse UR - https://afst.centre-mersenne.org/articles/10.5802/afst.647/ DO - 10.5802/afst.647 LA - en ID - AFST_1988_5_9_1_5_0 ER -
%0 Journal Article %A Laura Burlando %T Continuity of spectrum and spectral radius in algebras of operators %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 1988 %P 5-54 %V 9 %N 1 %I Université Paul Sabatier %C Toulouse %U https://afst.centre-mersenne.org/articles/10.5802/afst.647/ %R 10.5802/afst.647 %G en %F AFST_1988_5_9_1_5_0
Laura Burlando. Continuity of spectrum and spectral radius in algebras of operators. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 5, Tome 9 (1988) no. 1, pp. 5-54. doi: 10.5802/afst.647
[AFHV] ) ) ) and ). - Approximation of Hilbert space operators, Volume II. - Research Notes in Mathematics 102, Pitman, Boston, 1984. | Zbl | MR
[B] ).-On two subsets of a Banach algebra that are related to the continuity of spectrum and spectral radius, Linear Algebra Appl., t. 84, 1986, p. 251-269. | Zbl | MR
[It] ).- Topological Spaces.-John Wiley & Sons, London, 1966. | Zbl
[CM] ) and ).- Operators that are points of spectral continuity, Integral Equations and Operator Theory, t. 2, 1979, p. 174-198. | Zbl | MR
[CPY] ) ) and ).- Calkin Algebras and Algebras of Operators on Banach Spaces. - Lecture Notes in Pure and Applied Mathematics 9, Dekker, New York, 1974. | Zbl | MR
[DS] ) and ).- Linear Operators I.- Interscience, New York, 1958. | Zbl | MR
[Ha] ).-A Hilbert Space Problem Book. - Van Nostrand, Princeton, 1967. | Zbl | MR
[He] ).- Approximation of Hilbert space operators, volume I.- Research Notes in Mathematics 72, Pitman, Boston, 1982. | Zbl | MR
[HY] ) and ).- Topology.-Addison-Wesley, Reading (Massachusetts), 1961. | Zbl | MR
[Ka] ).- Perturbation theory for linear operators.-Springer, Berlin, 1966. | Zbl
[Kö] ).- Topological vectors spaces I.- Springer, Berlin, 1969. | Zbl
[M] ).-Continuity of the spectrum and spectral radius, Proc. Amer. Math. Soc., t. 82, 1981, p. 619-621. | Zbl | MR
[P] ). - Zur Theorie der σ-Transformationen in lokalkonvexen Vektorräu men, Math. Nachr., t. 21, 1960, p. 347-369. | Zbl | MR
[R] ).- General Theory of Banach Algebras.- Van Nostrand, Princeton, 1960. | Zbl | MR
[TL] ) and ).- Introduction to Functional Analysis.-second edition John Wiley & Sons, New York, 1980. | Zbl
Cité par Sources :