| Title:
|
Weak compactness of unconditionally convergent operators on $C_0(T)$ (English) |
| Author:
|
Panchapagesan, Thiruvaiyaru V. |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
52 |
| Issue:
|
1 |
| Year:
|
2002 |
| Pages:
|
57-66 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46G10 |
| MSC:
|
47B10 |
| idZBL:
|
Zbl 1080.47019 |
| idMR:
|
MR1901014 |
| . |
| Date available:
|
2009-09-25T14:05:58Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136856 |
| . |
| Reference:
|
[1] DIESTEL J., UHL J. J.: Vector Measures.Survey No. 15, Amer. Math. Soc, Providence, R.I., 1977. Zbl 0369.46039, MR 0453964 |
| Reference:
|
[2] DINCULEANU N.: Vector Measures.Pergamon Press, New York, 1967. MR 0206190 |
| Reference:
|
[3] EDWARDS R. E.: Functional Analysis.Theory and Applications, Holt Rinehart and Winston, New York-Chicago-San Francisco-Toronto-London, 1965. Zbl 0182.16101, MR 0221256 |
| Reference:
|
[4] GROTHENDIECK A.: Sur les applications linéares faiblement compactes d'espaces du type C(K).Canad. J. Math. 5 (1953), 129-173. MR 0058866 |
| Reference:
|
[5] HALMOS P. R.: Measure Theory.Van Nostrand, New York, 1950. Zbl 0040.16802, MR 0033869 |
| Reference:
|
[6] MCARTHUR C. W.: On a theorem of Orlicz and Pettis.Pacific J. Math. 22 (1967), 297-302. Zbl 0161.33104, MR 0213848 |
| Reference:
|
[7] PANCHAPAGESAN T. V.: Applications of a theorem of Grothendieck to vector measures.J. Math. Anal. Appl. 214 (1997), 89-101. MR 1645515 |
| Reference:
|
[8] PANCHAPAGESAN T. V.: Characterizations of weakly compact operators on $C_0(T)$.Trans. Amer. Math. Soc. 350 (1998), 4849-4867. Zbl 0906.47021, MR 1615942 |
| Reference:
|
[9] PELCZYŃSKI A.: Projections in certain Banach spaces.Stadia Math. 19 (1960), 209-228. Zbl 0104.08503, MR 0126145 |
| Reference:
|
[10] PELCZYŃSKI A.: Banach spaces on which every unconditionally converging operator is weakly compact.Bull. Polish Acad. Sci. Math. 10 (1962), 641-648. Zbl 0107.32504, MR 0149295 |
| Reference:
|
[11] THOMAS E.: L'integration par rapport a une mesure de Radon vectorielle.Ann. Inst. Fourier (Grenoble) 20 (1970), 55-191. Zbl 0195.06101, MR 0463396 |
| Reference:
|
[12] TUMARKIN, JU. B.: On locally convex spaces with basis.Dokl. Akad. Nauk. SSSR 11 (1970), 1672-1675. Zbl 0216.40701, MR 0271694 |
| . |
