| Title:
|
Spectral representation of local semigroups in locally convex spaces (English) |
| Author:
|
Ricker, Werner |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
35 |
| Issue:
|
2 |
| Year:
|
1985 |
| Pages:
|
248-259 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
47B25 |
| MSC:
|
47D05 |
| idZBL:
|
Zbl 0584.47047 |
| idMR:
|
MR787127 |
| DOI:
|
10.21136/CMJ.1985.102013 |
| . |
| Date available:
|
2008-06-09T15:04:45Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102013 |
| . |
| Reference:
|
[1] Bade W.: On Boolean algebras of projections and algebras of operators.Trans. Amer. Soc. 80, 345-359(1955). Zbl 0066.36202, MR 0073954, 10.1090/S0002-9947-1955-0073954-0 |
| Reference:
|
[2] Devinatz A.: A note on semigroups of unbounded self-adjoint operators.Proc. Amer. Math. Soc. 5, 101-103 (1954). MR 0060153, 10.1090/S0002-9939-1954-0060153-6 |
| Reference:
|
[3] Friedman A.: Generalized functions and partial differential equations.Englewood Cliffs: Prentice Hall 1963. Zbl 0116.07002, MR 0165388 |
| Reference:
|
[4] Hille E., Phillips R. S.: Functional analysis and semigroups.Rev. ed. Amer. Math. Soc. Colloq. Publ., Vol. 31. Providence: Amer. Math. Soc. 1957. Zbl 0078.10004, MR 0089373 |
| Reference:
|
[5] Hughes R. J.: Semigroups of unbounded linear operators in Banach space.Trans. Amer. Math. Soc. 230, 113-145 (1977). Zbl 0359.47020, MR 0636372, 10.1090/S0002-9947-1977-0636372-4 |
| Reference:
|
[6] Kantorovitz S., Hughes R. J,: Spectral representation of local semigroups.Math. Ann. 259, 455-470 (1982). Zbl 0468.47026, MR 0660041, 10.1007/BF01466052 |
| Reference:
|
[7] Klein A., Landau L.: Construction of a unique self-adjoint generator for a symmetric local semigroup.J. Funct. Analysis 44, 121-137 (1981). Zbl 0473.47023, MR 0642913, 10.1016/0022-1236(81)90007-0 |
| Reference:
|
[8] Kluvánek I.: Characterization of Fourier-Stieltjes transforms of vector and operator valued measures.Czechoslovak Math. J. 17 (92), 261 - 276 (1967). MR 0230872 |
| Reference:
|
[9] Kluvánek I., Knowles K.: Vector measures and control systems.Amsterdam: North Holland 1976. |
| Reference:
|
[10] Nussbaum A. E.: Integral representation of semigroups of unbounded self-adjoint operators.Ann. of Math. 69, 133-141 (1959). MR 0101495, 10.2307/1970098 |
| Reference:
|
[11] Nussbaum A. E.: Spectral representation of certain one-parametric families of symmetric operators in Hilbert space.Trans. Amer. Math. Soc. 152, 419-429 (1970). Zbl 0208.16003, MR 0268719 |
| Reference:
|
[12] Tumarkin Ju. В.: On locally convex spaces with basis.Dokl. Akad. Nauk SSSR, 195, 1278-1281; Soviet Math. Dokl. 11, 1672-1675 (1970). MR 0271694 |
| Reference:
|
[13] Walsh В.: Structure of spectral measures on locally convex spaces.Trans. Amer. Math. Soc. 120,295-326(1965). Zbl 0138.38501, MR 0196503 |
| . |
