| Title:
|
Characterization of Fourier-Stieltjes transforms of vector and operator valued measures (English) |
| Author:
|
Kluvánek, Igor |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
17 |
| Issue:
|
2 |
| Year:
|
1967 |
| Pages:
|
261-277 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
28.50 |
| MSC:
|
42.00 |
| idZBL:
|
Zbl 0177.18203 |
| idMR:
|
MR0230872 |
| DOI:
|
10.21136/CMJ.1967.100775 |
| . |
| Date available:
|
2008-06-09T13:33:09Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100775 |
| . |
| Reference:
|
[1] W. Ambrose: Spectral resolution of groups of unitary operators.Duke Math. J. 11 (1944), 589-595. MR 0011172, 10.1215/S0012-7094-44-01151-8 |
| Reference:
|
[2] N. Bourbaki: Intégration.Actualités Sci. Ind. 1175, 1244, 1281. Paris 1952, 1.956, 1959. Zbl 0049.31703 |
| Reference:
|
[3] N. Dinculeanu I. Kluvánek: On vector measures.Proc. London Math. Soc. Vol. XVII, Part 2 (1967). MR 0214722 |
| Reference:
|
[4] J. Dixmier: Les moyennes invariantes dans les semi-groupes et leurs applications.Acta Sci Math. Szeged 12 (1950), 213-227. Zbl 0037.15501, MR 0037470 |
| Reference:
|
[5] N. Dunford: Spectral operators.Pacific J. Math. 4 (1954), 321 - 354. Zbl 0056.34601, MR 0063563, 10.2140/pjm.1954.4.321 |
| Reference:
|
[6] N. Dunford: A survey of the theory of spectral operators.Bull. Amer. Math. Soc. 64 (1958), 217-274. Zbl 0088.32102, MR 0104865, 10.1090/S0002-9904-1958-10219-0 |
| Reference:
|
[7] N. Dunford J. T. Schwartz: Linear Operators. Part. I General Theory.Interscience Publ. New York 1958. MR 1009162 |
| Reference:
|
[8] W. F. Eberlein: Characterization of Fourier-Stieltjes transforms.Duke Math. J. 22 (1955), 465-468. MR 0072424, 10.1215/S0012-7094-55-02251-1 |
| Reference:
|
[9] P. R. Halmos: Measure Theory.D. Van Nostrand Co., New York, 1955. MR 0033869 |
| Reference:
|
[10] E. Hewitt K. A. Ross: Abstract Harmonic Analysis.Springer Verlag. Berlin-Göttingen- Heidelberg 1963. MR 0156915 |
| Reference:
|
[11] S. Kantorovitz: On the characterization of spectral operators.Trans. Amer. Math. Soc. III (1964), 152-181. Zbl 0139.08702, MR 0160115, 10.1090/S0002-9947-1964-0160115-5 |
| Reference:
|
[12] S. Kantorovitz: Classification of operators by means of their operational calculus.Trans. Amer. Math. Soc. 115 (1965), 194-224. Zbl 0127.07801, MR 0199712, 10.1090/S0002-9947-1965-0199712-0 |
| Reference:
|
[13] I. Kluvánek: К теории векторных мер.Matematicko-fyzikálny časopis 11 (1961), 173-191. |
| Reference:
|
[14] I. Kluvánek: О некоторых обобщениях теоремы Риса-Какутани.Чехословацкий мат. ж. 13 (88) (1963), 89-113. |
| Reference:
|
[15] I. Kluvánek M. Kováříková: Product of spectral measures.Czechosl. Math. J. 17 (92) (1967), 248-256. MR 0212598 |
| Reference:
|
[16] M. Kováříková: O polárním rozkladu operátorů skalárního typu.Czech. math. J. 17 (92) (1957), 313-315. |
| Reference:
|
[17] G. K. Leaf: A spectral theory for a class of linear operators.Pacific J. Math. 13 (1963), 141-155. Zbl 0121.33502, MR 0150593, 10.2140/pjm.1963.13.141 |
| Reference:
|
[18] L. H. Loomis: An Introduction to Abstract Harmonic Analysis.D. Van Nostrand Co. New York 1953. Zbl 0052.11701, MR 0054173 |
| Reference:
|
[19] E. R. Lorch: The integral representation of weakly almost periodic transformation in reflexive vector spaces.Trans. Amer. Math. Soc 49 (1941), 18 - 40. MR 0003465, 10.1090/S0002-9947-1941-0003465-X |
| . |
