The Dunford-Pettis property, the Gelfand-Phillips property, and L-sets

Ioana Ghenciu; Paul Lewis

Colloquium Mathematicae (2006)

  • Volume: 106, Issue: 2, page 311-324
  • ISSN: 0010-1354

Abstract

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The Dunford-Pettis property and the Gelfand-Phillips property are studied in the context of spaces of operators. The idea of L-sets is used to give a dual characterization of the Dunford-Pettis property.

How to cite

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Ioana Ghenciu, and Paul Lewis. "The Dunford-Pettis property, the Gelfand-Phillips property, and L-sets." Colloquium Mathematicae 106.2 (2006): 311-324. <http://eudml.org/doc/283441>.

@article{IoanaGhenciu2006,
abstract = {The Dunford-Pettis property and the Gelfand-Phillips property are studied in the context of spaces of operators. The idea of L-sets is used to give a dual characterization of the Dunford-Pettis property.},
author = {Ioana Ghenciu, Paul Lewis},
journal = {Colloquium Mathematicae},
keywords = {Dunford-Pettis property; Gelfand-Phillips property; -sets; - continuity; completely continuous operator},
language = {eng},
number = {2},
pages = {311-324},
title = {The Dunford-Pettis property, the Gelfand-Phillips property, and L-sets},
url = {http://eudml.org/doc/283441},
volume = {106},
year = {2006},
}

TY - JOUR
AU - Ioana Ghenciu
AU - Paul Lewis
TI - The Dunford-Pettis property, the Gelfand-Phillips property, and L-sets
JO - Colloquium Mathematicae
PY - 2006
VL - 106
IS - 2
SP - 311
EP - 324
AB - The Dunford-Pettis property and the Gelfand-Phillips property are studied in the context of spaces of operators. The idea of L-sets is used to give a dual characterization of the Dunford-Pettis property.
LA - eng
KW - Dunford-Pettis property; Gelfand-Phillips property; -sets; - continuity; completely continuous operator
UR - http://eudml.org/doc/283441
ER -

Citations in EuDML Documents

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  1. Abderrahman Retbi, A note on L-Dunford-Pettis sets in a topological dual Banach space
  2. Kamal El Fahri, Nabil Machrafi, Jawad H'michane, Aziz Elbour, Application of ( L ) sets to some classes of operators
  3. Ioana Ghenciu, Isomorphic properties in spaces of compact operators
  4. Mohammad B. Dehghani, Seyed M. Moshtaghioun, Limited p -converging operators and relation with some geometric properties of Banach spaces
  5. Ioana Ghenciu, A note on Dunford-Pettis like properties and complemented spaces of operators
  6. Mahdi Dehghani, Mohammad B. Dehghani, Mohammad S. Moshtaghioun, Sequentially Right Banach spaces of order p
  7. Ioana Ghenciu, The reciprocal Dunford–Pettis property of order p in projective tensor products
  8. Ioana Ghenciu, Property ( 𝐰𝐋 ) and the reciprocal Dunford-Pettis property in projective tensor products

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