| Title:
|
Automatic continuity of homomorphisms and derivations on algebras of continuous vector-valued functions (English) |
| Author:
|
Kantrowitz, R. |
| Author:
|
Neumann, M. M. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
45 |
| Issue:
|
4 |
| Year:
|
1995 |
| Pages:
|
747-756 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46H40 |
| idZBL:
|
Zbl 0890.46040 |
| idMR:
|
MR1354931 |
| DOI:
|
10.21136/CMJ.1995.128554 |
| . |
| Date available:
|
2009-09-24T09:52:30Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128554 |
| . |
| Reference:
|
[C1] R. L. Carpenter: Uniqueness of topology for commutative semi-simple $F$-algebras.Proc. Amer. Math. Soc. 29 (1971), 113–117. MR 0298424 |
| Reference:
|
[C2] R. L. Carpenter: Continuity of derivations in $F$-algebras.Amer. J. Math. 93 (1971), 500–502. Zbl 0221.46045, MR 0287316, 10.2307/2373390 |
| Reference:
|
[D1] H. G. Dales: Automatic continuity: a survey.Bull. London Math. Soc. 10 (1978), 129–183. Zbl 0391.46037, MR 0500923, 10.1112/blms/10.2.129 |
| Reference:
|
[D2] H. G. Dales: Banach algebras and automatic continuity.forthcoming monograph. Zbl 0981.46043 |
| Reference:
|
[H] A. Hausner: Ideals in a certain Banach algebra.Proc. Amer. Math. Soc. 8 (1957), 246–249. Zbl 0079.13101, MR 0084117, 10.1090/S0002-9939-1957-0084117-4 |
| Reference:
|
[J1] B. E. Johnson: The uniqueness of the (complete) norm topology.Bull. Amer. Math. Soc. 73 (1967), 537–539. Zbl 0172.41004, MR 0211260, 10.1090/S0002-9904-1967-11735-X |
| Reference:
|
[J2] B. E. Johnson: Continuity of derivations on commutative algebras.Amer. J. Math. 91 (1969), 1–10. Zbl 0181.41103, MR 0246127, 10.2307/2373262 |
| Reference:
|
[JS] B. E. Johnson and A. M. Sinclair: Continuity of derivations and a problem of Kaplansky.Amer. J. Math. 90 (1968), 1067–1073. MR 0239419, 10.2307/2373290 |
| Reference:
|
[Li] J. A. Lindberg, Jr.: Homomorphisms of Banach algebras into Arens-Hoffman extensions of a semi-simple algebra.J. London Math. Soc. 13 (1976), 111–121. Zbl 0342.46038, MR 0512314, 10.1112/jlms/s2-13.1.111 |
| Reference:
|
[Lo] R. J. Loy: Uniqueness of the Fréchet space topology on certain topological algebras.Bull. Austral. Math. Soc. 4 (1971), 1–7. Zbl 0201.04304, MR 0298420, 10.1017/S0004972700046190 |
| Reference:
|
[N] M. M. Neumann: Automatic continuity of linear operators.Functional Analysis: Surveys and Recent Results II, North-Holland Math. Studies 38, 1980, pp. 269–296. Zbl 0427.47001, MR 0565410 |
| Reference:
|
[NP] M. M. Neumann and V. Pták: Automatic continuity, local type and causality.Studia Math. 82 (1985), 61–90. MR 0809773, 10.4064/sm-82-1-61-90 |
| Reference:
|
[S] A. M. Sinclair: Automatic continuity of linear operators.London Math. Soc. Lecture Note Series 21, Cambridge University Press, Cambridge, 1976. Zbl 0313.47029, MR 0487371 |
| . |
