| Title:
|
Algebraic spectral subspaces and automatic continuity (English) |
| Author:
|
Laursen, Kjeld Bagger |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
38 |
| Issue:
|
1 |
| Year:
|
1988 |
| Pages:
|
157-172 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46J35 |
| MSC:
|
47A15 |
| MSC:
|
47B40 |
| idZBL:
|
Zbl 0657.47037 |
| idMR:
|
MR925948 |
| DOI:
|
10.21136/CMJ.1988.102208 |
| . |
| Date available:
|
2008-06-09T15:19:54Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102208 |
| . |
| Reference:
|
[1] E. Albrecht J. Eschmeier M. M. Neumann: Some topics in the theory of decomposable operators.Advances and Applications 17 (1986), 15-34. MR 0901056 |
| Reference:
|
[2] E. Albrecht M. M. Neumann: Automatic continuity for operators of local type.in Radical Banach Algebras and automatic continuity, Springer Lecture Notes 975 (1983), 342-355. MR 0697600, 10.1007/BFb0064569 |
| Reference:
|
[3] W. G. Bade P. C. Curtis, Jr.: The continuity of derivations of Banach algebras.J. Functional Analysis 16 (1974), 372-387. MR 0358354, 10.1016/0022-1236(74)90056-1 |
| Reference:
|
[4] W. G. Bade P. C. Curtis, Jr.: Prime ideals and automatic continuity problems for Banach algebras.J. Functional Analysis 29 (1978), 88-103. MR 0499936, 10.1016/0022-1236(78)90048-4 |
| Reference:
|
[5] W. G. Bade P. C. Curtis, Jr.: Module derivations from commutative Banach algebras.Contemporary Mathematics 32 (1984), 71-81. MR 0769498, 10.1090/conm/032/769498 |
| Reference:
|
[6] W. G. Bade H. G. Dales: Norms and ideals in radical convolution algebras.J. Functional Analysis 41 (1981), 77-109. MR 0614227, 10.1016/0022-1236(81)90062-8 |
| Reference:
|
[7] I. Colojoara С. Foias: Theory of generalized spectral operators.Gordon and Breach, New York, 1968. MR 0394282 |
| Reference:
|
[8] С. Foias F. H. Vasilescu: Non-analytic local functional calculus.Czechoslovak Math. J. 24 (99) (1974), 270-283. MR 0372678 |
| Reference:
|
[9] N. P. Jewell: Continuity of module and higher derivations.Рас. J. Math. 68 (1977), 91-98. Zbl 0349.46045, MR 0493341 |
| Reference:
|
[10] B. E. Johnson: Continuity of homomorphisms of Banach $G$-modules.Рас. J. Math. 120 (1985), 111-121. Zbl 0582.22004, MR 0808931 |
| Reference:
|
[11] B. E. Johnson A. M. Sinclair: Continuity of linear operators commuting with continuous linear operators II.Trans. Amer. Math. Soc. 146 (1969), 533-540. MR 0251564, 10.1090/S0002-9947-1969-0251564-X |
| Reference:
|
[12] K. B. Laursen: Some remarks on automatic continuity.in Spaces of analytic functions, Springer Lecture Notes 512 (1976), 96-108. Zbl 0327.46030, MR 0500203, 10.1007/BFb0080027 |
| Reference:
|
[13] K. B. Laursen: Automatic continuity of generalized intertwining operators.Dissert. Math. 189 (1981). Zbl 0469.46037, MR 0621374 |
| Reference:
|
[14] K. B. Laursen M. M. Neumann: Decomposable operators and automatic continuity.J. Operator Theory 15 (1986), 33-51. MR 0816233 |
| Reference:
|
[15] V. Pták P. Vrbová: On the spectral function of a normal operator.Czechoslovak Math. J. 23 (98) (1973), 615-616. MR 0336421 |
| Reference:
|
[16] A. M. Sinclair: Automatic continuity of linear operators.London Math. Soc. Lecture Notes 21 (1976). Zbl 0313.47029, MR 0487371 |
| Reference:
|
[17] F. H. Vasilescu: Analytic Functional Calculus.D. Reidel, Dordrecht, 1982. Zbl 0495.47013 |
| Reference:
|
[18] P. Vrbová: The structure of maximal spectral spaces of generalized scalar operators.Czechoslovak Math. J. 23 (98), (1973), 493-496. MR 0320804 |
| . |
