| Title:
|
On the problem of invariance under holomorphic functions for a set of continuity points of the spectrum function (English) |
| Author:
|
Burlando, Laura |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
39 |
| Issue:
|
1 |
| Year:
|
1989 |
| Pages:
|
95-110 |
| . |
| Category:
|
math |
| . |
| MSC:
|
47A10 |
| idZBL:
|
Zbl 0819.47003 |
| idMR:
|
MR983486 |
| DOI:
|
10.21136/CMJ.1989.102281 |
| . |
| Date available:
|
2008-06-09T15:25:24Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102281 |
| . |
| Reference:
|
[AFHV] C. Apostol L. A. Fialkow D. A. Herrero D. Voiculescu: Approximation of Hilbert space operators.volume II, Research Notes in Mathematics 102 (Pitman, Boston, 1984). MR 0735080 |
| Reference:
|
[B1] L. Burlando: On two subsets of a Banach algebra that are related to the continuity of spectrum and spectral radius.Linear Algebra Appl., 84, (1986), 251 - 269. Zbl 0612.46046, MR 0872287, 10.1016/0024-3795(86)90318-6 |
| Reference:
|
[B2] L. Burlando: Continuity of spectrum and spectral radius in algebras of operators.to appear. Zbl 0618.47003, MR 0971812 |
| Reference:
|
[BHOP] C. Bosh C. Hernandez E. De Oteyza C. Pearcy: Spectral pictures of functions of operators.J. Operator Theory, 8 (1982), 391-400. MR 0677420 |
| Reference:
|
[CM] J. B. Conway B. B. Morrel: Operators that are points of spectral continuity, integral Equations and Operator Theory.2 (1979), 174-198. MR 0543882, 10.1007/BF01682733 |
| Reference:
|
[CPY] S. R. Caradus W. E. Pfaffenberger B. Yood: Calkin algebras and algebras of operators on Banach spaces.Lecture Notes in Pure and Applied Mathematics 9 (Marcel Dekker, New York, 1974). MR 0415345 |
| Reference:
|
[GL] B. Gramsch D. Lay: Spectral mapping theorems for essential spectra.Math. Ann., 192 (1971), 17-32. MR 0291846, 10.1007/BF02052728 |
| Reference:
|
[H] P. R. Halmos: A Hilbert space problem book.(Van Nostrand, Princeton, 1967). Zbl 0144.38704, MR 0208368 |
| Reference:
|
[K] T. Kato: Perturbation theory for linear operators.(Springer, New York, 1966). Zbl 0148.12601, MR 0203473 |
| Reference:
|
[R] W. Rudin: Real and complex analysis.(McGraw-Hill, New York, 1966). Zbl 0142.01701, MR 0210528 |
| Reference:
|
[TL] A. E. Taylor D. C. Lay: Introduction to functional analysis.second edition (John-WiIey & Sons, New York, 1980). MR 0564653 |
| . |
