| Title:
|
On discontinuity of the spectral radius in Banach algebras (English) |
| Author:
|
Müller, Vladimír |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
18 |
| Issue:
|
3 |
| Year:
|
1977 |
| Pages:
|
591-598 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46H05 |
| idZBL:
|
Zbl 0358.46032 |
| idMR:
|
MR0500157 |
| . |
| Date available:
|
2008-06-05T20:55:59Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105803 |
| . |
| Reference:
|
[1] B. AUPETIT: Caractérisation spectrale des algèbres de Banach commutatives.Pacific J. Math. 63 (1976), 23-35. Zbl 0309.46045, MR 0415320 |
| Reference:
|
[2] B. AUPETIT: Propriétés spectrales des algèbres de Banach.(to appear). Zbl 0409.46054, MR 0549769 |
| Reference:
|
[3] J. DUNCAN A. W. TULLO: Finite dimensionality, nilpotents and quasinilpotents in Banach algebras.Proc. Edinburgh Math. Soc. 19 (1974), 45-49. MR 0344892 |
| Reference:
|
[4] A. O. NEMIROVSKIJ: O svjazi nekommutativnosti s naličiem obobščennych nilpotentov dlja nekotoryeh klassov banachovych algebr.Vestnik MGU, ser. mat.- mech. 6 (1971). |
| Reference:
|
[5] V. PTÁK J. ZEMÁNEK: On uniform continuity of the spectral radius in Banach algebras.Manuscripta Math. 20 (1977), 177-189. MR 0442684 |
| Reference:
|
[6] C. E. RICKART: General theory of Banach algebras.Van Nostrand I960. Zbl 0095.09702, MR 0115101 |
| Reference:
|
[7] Z. SŁODKOWSKI W. WOJTYŇSKI J. ZEMÁNEK: A note on quasinilpotent elements of a Banach algebra.Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Phys. 25 (1977), 131-134. MR 0438124 |
| Reference:
|
[8] E. VESENTINI: On the subharmonicity of the spectral radius.Boll. Un. Mat. Ital. 1 (1968), 427-429. MR 0244766 |
| Reference:
|
[9] J. ZEMÁNEK: A survey of recent results on the spectral radius in Banach algebras.Proc. of the fourth Prague Symp. in General Topology and its Relations to Modern Analysis and Algebra, 1976. MR 0487455 |
| Reference:
|
[10] J. ZEMÁNEK: Spectral radius characterizations of commutativity in Banach algebras.Studia Math. 61 (1977). MR 0461139 |
| . |
