Title:
|
Unconditionally convergent operators on $C_0(X_0)$ (English) |
Author:
|
Khurana, Surjit Singh |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
55 |
Issue:
|
2 |
Year:
|
2005 |
Pages:
|
249-252 |
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Category:
|
math |
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MSC:
|
46G10 |
idZBL:
|
Zbl 1112.46037 |
idMR:
|
MR2177711 |
. |
Date available:
|
2009-09-25T14:25:37Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136916 |
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Reference:
|
[1] BROOKS J. K.-LEWIS P. W.: Linear operators and vector measures.Trans. Amer. Math. Soc. 192 (1974), 139-162. MR 0338821 |
Reference:
|
[2] DIESTEL J.-UHL J. J.: Vector Measures.Math. Surveys Monogr. 15, Amer. Math. Soc., Providence, RI, 1977. Zbl 0369.46039, MR 0453964 |
Reference:
|
[3] DUNFORD N.-SCHWARTZ J. T.: Linear Operators. Part II: Spectral Theory. Self Adjoint Operators in Hilbert Space.Interscience Publishers, New York-London, 1963. Zbl 0128.34803, MR 0188745 |
Reference:
|
[4] GROTHENDIECK A.: Sur les applicationes lineaires faiblement compactes d'espace du type $C(K)$.Canad. J. Math. 5 (1953), 129-173. MR 0058866 |
Reference:
|
[5] KHURANA S. S.: Topologies on spaces of continuous vector-valued functions.Trans. Amer. Math. Soc. 241 (1978), 195-211. MR 0492297 |
Reference:
|
[6] PANCHAPAGESAN T. V.: Characterizations of weak compact operators on $C_0(T)$.Trans. Amer. Math. Soc. 350 (1998), 4849-4867. MR 1615942 |
Reference:
|
[7] PANCHAPAGESAN T. V.: Weak compactness of unconditionally convergent operators on $C_0(T)$.Math. Slovaca 52 (2002), 57-66. Zbl 1080.47019, MR 1901014 |
Reference:
|
[8] RAO M. M.: Measure Theory and Integration.John Wiley k. Sons, New York, 1987. Zbl 0619.28001, MR 0891879 |
Reference:
|
[9] SCHAEFER H. H.: Topological Vector spaces.Grad. Texts in Math. 3., Springer-Verlag, New York-Heidelberg-Berlin, 1971. Zbl 0217.16002, MR 0342978 |
Reference:
|
[10] TUMARKIN, JU. B.: On locally convex spaces with basis.Dokl. Akad. Nauk 11 (1970), 1672-1675. Zbl 0216.40701, MR 0271694 |
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