The weak Phillips property

Ali Ülger

Colloquium Mathematicae (2001)

  • Volume: 87, Issue: 2, page 147-158
  • ISSN: 0010-1354

Abstract

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Let X be a Banach space. If the natural projection p:X*** → X* is sequentially weak*-weak continuous then the space X is said to have the weak Phillips property. We present several characterizations of the spaces having this property and study its relationships to other Banach space properties, especially the Grothendieck property.

How to cite

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Ali Ülger. "The weak Phillips property." Colloquium Mathematicae 87.2 (2001): 147-158. <http://eudml.org/doc/284126>.

@article{AliÜlger2001,
abstract = {Let X be a Banach space. If the natural projection p:X*** → X* is sequentially weak*-weak continuous then the space X is said to have the weak Phillips property. We present several characterizations of the spaces having this property and study its relationships to other Banach space properties, especially the Grothendieck property.},
author = {Ali Ülger},
journal = {Colloquium Mathematicae},
keywords = {weak Phillips property; Grothendieck property; Dunford-Pettis property; property (V); Dieudonné property; Gelfand-Phillips property},
language = {eng},
number = {2},
pages = {147-158},
title = {The weak Phillips property},
url = {http://eudml.org/doc/284126},
volume = {87},
year = {2001},
}

TY - JOUR
AU - Ali Ülger
TI - The weak Phillips property
JO - Colloquium Mathematicae
PY - 2001
VL - 87
IS - 2
SP - 147
EP - 158
AB - Let X be a Banach space. If the natural projection p:X*** → X* is sequentially weak*-weak continuous then the space X is said to have the weak Phillips property. We present several characterizations of the spaces having this property and study its relationships to other Banach space properties, especially the Grothendieck property.
LA - eng
KW - weak Phillips property; Grothendieck property; Dunford-Pettis property; property (V); Dieudonné property; Gelfand-Phillips property
UR - http://eudml.org/doc/284126
ER -

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