Weak compactness of unconditionally convergent operators on C 0 ( T )

Thiruvaiyaru V. Panchapagesan

Mathematica Slovaca (2002)

  • Volume: 52, Issue: 1, page 57-66
  • ISSN: 0232-0525

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Panchapagesan, Thiruvaiyaru V.. "Weak compactness of unconditionally convergent operators on $C_0(T)$." Mathematica Slovaca 52.1 (2002): 57-66. <http://eudml.org/doc/34548>.

@article{Panchapagesan2002,
author = {Panchapagesan, Thiruvaiyaru V.},
journal = {Mathematica Slovaca},
keywords = {weakly compact operator; unconditionally convergent operator; representation measure},
language = {eng},
number = {1},
pages = {57-66},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Weak compactness of unconditionally convergent operators on $C_0(T)$},
url = {http://eudml.org/doc/34548},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Panchapagesan, Thiruvaiyaru V.
TI - Weak compactness of unconditionally convergent operators on $C_0(T)$
JO - Mathematica Slovaca
PY - 2002
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 52
IS - 1
SP - 57
EP - 66
LA - eng
KW - weakly compact operator; unconditionally convergent operator; representation measure
UR - http://eudml.org/doc/34548
ER -

References

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  3. EDWARDS R. E., Functional Analysis, Theory and Applications, Holt Rinehart and Winston, New York-Chicago-San Francisco-Toronto-London, 1965. (1965) Zbl0182.16101MR0221256
  4. GROTHENDIECK A., Sur les applications linéares faiblement compactes d'espaces du type C(K), Canad. J. Math. 5 (1953), 129-173. (1953) MR0058866
  5. HALMOS P. R., Measure Theory, Van Nostrand, New York, 1950. (1950) Zbl0040.16802MR0033869
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  7. PANCHAPAGESAN T. V., Applications of a theorem of Grothendieck to vector measures, J. Math. Anal. Appl. 214 (1997), 89-101. (1997) MR1645515
  8. PANCHAPAGESAN T. V., Characterizations of weakly compact operators on C 0 ( T ) , Trans. Amer. Math. Soc. 350 (1998), 4849-4867. (1998) Zbl0906.47021MR1615942
  9. PELCZYŃSKI A., Projections in certain Banach spaces, Stadia Math. 19 (1960), 209-228. (1960) Zbl0104.08503MR0126145
  10. PELCZYŃSKI A., Banach spaces on which every unconditionally converging operator is weakly compact, Bull. Polish Acad. Sci. Math. 10 (1962), 641-648. (1962) Zbl0107.32504MR0149295
  11. THOMAS E., L'integration par rapport a une mesure de Radon vectorielle, Ann. Inst. Fourier (Grenoble) 20 (1970), 55-191. (1970) Zbl0195.06101MR0463396
  12. TUMARKIN, JU. B., On locally convex spaces with basis, Dokl. Akad. Nauk. SSSR 11 (1970), 1672-1675. (1970) Zbl0216.40701MR0271694

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