The b -weak compactness of weak Banach-Saks operators

Belmesnaoui Aqzzouz; Othman Aboutafail; Taib Belghiti; Jawad H'michane

Mathematica Bohemica (2013)

  • Volume: 138, Issue: 2, page 113-120
  • ISSN: 0862-7959

Abstract

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We characterize Banach lattices on which every weak Banach-Saks operator is b-weakly compact.

How to cite

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Aqzzouz, Belmesnaoui, et al. "The $\rm b$-weak compactness of weak Banach-Saks operators." Mathematica Bohemica 138.2 (2013): 113-120. <http://eudml.org/doc/252465>.

@article{Aqzzouz2013,
abstract = {We characterize Banach lattices on which every weak Banach-Saks operator is b-weakly compact.},
author = {Aqzzouz, Belmesnaoui, Aboutafail, Othman, Belghiti, Taib, H'michane, Jawad},
journal = {Mathematica Bohemica},
keywords = {b-weakly compact operator; weak Banach-Saks operator; Banach lattice; (b)-property; KB-space; -weakly compact operator; weak Banach-Saks operator; Banach lattice},
language = {eng},
number = {2},
pages = {113-120},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The $\rm b$-weak compactness of weak Banach-Saks operators},
url = {http://eudml.org/doc/252465},
volume = {138},
year = {2013},
}

TY - JOUR
AU - Aqzzouz, Belmesnaoui
AU - Aboutafail, Othman
AU - Belghiti, Taib
AU - H'michane, Jawad
TI - The $\rm b$-weak compactness of weak Banach-Saks operators
JO - Mathematica Bohemica
PY - 2013
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 138
IS - 2
SP - 113
EP - 120
AB - We characterize Banach lattices on which every weak Banach-Saks operator is b-weakly compact.
LA - eng
KW - b-weakly compact operator; weak Banach-Saks operator; Banach lattice; (b)-property; KB-space; -weakly compact operator; weak Banach-Saks operator; Banach lattice
UR - http://eudml.org/doc/252465
ER -

References

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  7. Aqzzouz, B., Hmichane, J., 10.1007/s11785-011-0138-1, Complex Anal. Oper. Theory 7 (2013), 3-8. (2013) MR3010785DOI10.1007/s11785-011-0138-1
  8. Beauzamy, B., Propriété de Banach-Saks et modèles étalés, French Semin. Geom. des Espaces de Banach, Ec. Polytech., Cent. Math., 1977-1978, Expose No. 3, 16 pp. (1978). (1978) Zbl0386.46017MR0520205
  9. Beauzamy, B., 10.4064/sm-66-3-227-235, Stud. Math. 66 (1980), 227-235. (1980) Zbl0437.46061MR0579729DOI10.4064/sm-66-3-227-235
  10. Cheng, N., Chen, Z.-L., b-AM-compact operators on Banach lattices, Chin. J. Eng. Math. 27 (2010). (2010) Zbl1235.47020MR2777452
  11. Flores, J., Tradacete, P., 10.4064/sm189-1-7, Stud. Math. 189 (2008), 91-101. (2008) Zbl1163.47031MR2443377DOI10.4064/sm189-1-7
  12. Rosenthal, H. P., Weakly independent sequences and the weak Banach-Saks property, Proceedings of the Durham Symposium on the Relations Between Infinite Dimensional and Finite-Dimentional Convexity (July 1975). 
  13. Zhenglu, J., Xiaoyong, F., The Banach-Saks property of the Banach product spaces, Arxiv: math/0702538V1 [math. FA] 19 feb 2007. 

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