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 sets to some classes of operators
  3. Ioana Ghenciu, Isomorphic properties in spaces of compact operators
  4. Mohammad B. Dehghani, Seyed M. Moshtaghioun, Limited -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
  7. Ioana Ghenciu, The reciprocal Dunford–Pettis property of order in projective tensor products
  8. Ioana Ghenciu, Property and the reciprocal Dunford-Pettis property in projective tensor products

NotesEmbed ?

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