Drop property on locally convex spaces

Ignacio Monterde; Vicente Montesinos

Studia Mathematica (2008)

  • Volume: 185, Issue: 2, page 143-149
  • ISSN: 0039-3223

Abstract

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A single technique provides short proofs of some results about drop properties on locally convex spaces. It is shown that the quasi drop property is equivalent to a drop property for countably closed sets. As a byproduct, we prove that the drop and quasi drop properties are separably determined.

How to cite

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Ignacio Monterde, and Vicente Montesinos. "Drop property on locally convex spaces." Studia Mathematica 185.2 (2008): 143-149. <http://eudml.org/doc/285330>.

@article{IgnacioMonterde2008,
abstract = {A single technique provides short proofs of some results about drop properties on locally convex spaces. It is shown that the quasi drop property is equivalent to a drop property for countably closed sets. As a byproduct, we prove that the drop and quasi drop properties are separably determined.},
author = {Ignacio Monterde, Vicente Montesinos},
journal = {Studia Mathematica},
keywords = {countable compactness; drop property; quasi-drop property; weak compactness; reflexivity},
language = {eng},
number = {2},
pages = {143-149},
title = {Drop property on locally convex spaces},
url = {http://eudml.org/doc/285330},
volume = {185},
year = {2008},
}

TY - JOUR
AU - Ignacio Monterde
AU - Vicente Montesinos
TI - Drop property on locally convex spaces
JO - Studia Mathematica
PY - 2008
VL - 185
IS - 2
SP - 143
EP - 149
AB - A single technique provides short proofs of some results about drop properties on locally convex spaces. It is shown that the quasi drop property is equivalent to a drop property for countably closed sets. As a byproduct, we prove that the drop and quasi drop properties are separably determined.
LA - eng
KW - countable compactness; drop property; quasi-drop property; weak compactness; reflexivity
UR - http://eudml.org/doc/285330
ER -

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