Weak compactness of unconditionally convergent operators on $C_0(T)$
Mathematica slovaca, Tome 52 (2002) no. 1, pp. 57-66
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 46G10, 47B10
@article{MASLO_2002_52_1_a5,
     author = {Panchapagesan, Thiruvaiyaru V.},
     title = {Weak compactness of unconditionally convergent operators on $C_0(T)$},
     journal = {Mathematica slovaca},
     pages = {57--66},
     year = {2002},
     volume = {52},
     number = {1},
     mrnumber = {1901014},
     zbl = {1080.47019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_2002_52_1_a5/}
}
TY  - JOUR
AU  - Panchapagesan, Thiruvaiyaru V.
TI  - Weak compactness of unconditionally convergent operators on $C_0(T)$
JO  - Mathematica slovaca
PY  - 2002
SP  - 57
EP  - 66
VL  - 52
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/MASLO_2002_52_1_a5/
LA  - en
ID  - MASLO_2002_52_1_a5
ER  - 
%0 Journal Article
%A Panchapagesan, Thiruvaiyaru V.
%T Weak compactness of unconditionally convergent operators on $C_0(T)$
%J Mathematica slovaca
%D 2002
%P 57-66
%V 52
%N 1
%U http://geodesic.mathdoc.fr/item/MASLO_2002_52_1_a5/
%G en
%F MASLO_2002_52_1_a5
Panchapagesan, Thiruvaiyaru V. Weak compactness of unconditionally convergent operators on $C_0(T)$. Mathematica slovaca, Tome 52 (2002) no. 1, pp. 57-66. http://geodesic.mathdoc.fr/item/MASLO_2002_52_1_a5/

[1] DIESTEL J., UHL J. J.: Vector Measures. Survey No. 15, Amer. Math. Soc, Providence, R.I., 1977. | MR | Zbl

[2] DINCULEANU N.: Vector Measures. Pergamon Press, New York, 1967. | MR

[3] EDWARDS R. E.: Functional Analysis. Theory and Applications, Holt Rinehart and Winston, New York-Chicago-San Francisco-Toronto-London, 1965. | MR | Zbl

[4] GROTHENDIECK A.: Sur les applications linéares faiblement compactes d'espaces du type C(K). Canad. J. Math. 5 (1953), 129-173. | MR

[5] HALMOS P. R.: Measure Theory. Van Nostrand, New York, 1950. | MR | Zbl

[6] MCARTHUR C. W.: On a theorem of Orlicz and Pettis. Pacific J. Math. 22 (1967), 297-302. | MR | Zbl

[7] PANCHAPAGESAN T. V.: Applications of a theorem of Grothendieck to vector measures. J. Math. Anal. Appl. 214 (1997), 89-101. | MR

[8] PANCHAPAGESAN T. V.: Characterizations of weakly compact operators on $C_0(T)$. Trans. Amer. Math. Soc. 350 (1998), 4849-4867. | MR | Zbl

[9] PELCZYŃSKI A.: Projections in certain Banach spaces. Stadia Math. 19 (1960), 209-228. | MR | Zbl

[10] PELCZYŃSKI A.: Banach spaces on which every unconditionally converging operator is weakly compact. Bull. Polish Acad. Sci. Math. 10 (1962), 641-648. | MR | Zbl

[11] THOMAS E.: L'integration par rapport a une mesure de Radon vectorielle. Ann. Inst. Fourier (Grenoble) 20 (1970), 55-191. | MR | Zbl

[12] TUMARKIN, JU. B.: On locally convex spaces with basis. Dokl. Akad. Nauk. SSSR 11 (1970), 1672-1675. | MR | Zbl