Reflexivity of inductive limits

Jan Kučera

Czechoslovak Mathematical Journal (2004)

  • Volume: 54, Issue: 1, page 103-106
  • ISSN: 0011-4642

Abstract

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An inductive locally convex limit of reflexive topological spaces is reflexive iff it is almost regular.

How to cite

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Kučera, Jan. "Reflexivity of inductive limits." Czechoslovak Mathematical Journal 54.1 (2004): 103-106. <http://eudml.org/doc/30841>.

@article{Kučera2004,
abstract = {An inductive locally convex limit of reflexive topological spaces is reflexive iff it is almost regular.},
author = {Kučera, Jan},
journal = {Czechoslovak Mathematical Journal},
keywords = {inductive and projective limits of locally convex spaces; regular and almost regular inductive limits; reflexive space; inductive limit; projective limit; locally convex space; regular inductive limit; almost regular inductive limit; reflexive space},
language = {eng},
number = {1},
pages = {103-106},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Reflexivity of inductive limits},
url = {http://eudml.org/doc/30841},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Kučera, Jan
TI - Reflexivity of inductive limits
JO - Czechoslovak Mathematical Journal
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 54
IS - 1
SP - 103
EP - 106
AB - An inductive locally convex limit of reflexive topological spaces is reflexive iff it is almost regular.
LA - eng
KW - inductive and projective limits of locally convex spaces; regular and almost regular inductive limits; reflexive space; inductive limit; projective limit; locally convex space; regular inductive limit; almost regular inductive limit; reflexive space
UR - http://eudml.org/doc/30841
ER -

References

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  1. Topological Vector Spaces and Distributions, Addison-Wesley, 1966. (1966) MR0205028

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