Problemy analiza, no. 6 (1999), pp. 68-91
Citer cet article
S. S. Platonov. Сходимость и секвенциальная сходимость в некоторых функциональных топологических векторных пространствах. Problemy analiza, no. 6 (1999), pp. 68-91. http://geodesic.mathdoc.fr/item/PA_1999_6_a8/
@article{PA_1999_6_a8,
author = {S. S. Platonov},
title = {{\CYRS}{\cyrh}{\cyro}{\cyrd}{\cyri}{\cyrm}{\cyro}{\cyrs}{\cyrt}{\cyrsftsn} {\cyri} {\cyrs}{\cyre}{\cyrk}{\cyrv}{\cyre}{\cyrn}{\cyrc}{\cyri}{\cyra}{\cyrl}{\cyrsftsn}{\cyrn}{\cyra}{\cyrya} {\cyrs}{\cyrh}{\cyro}{\cyrd}{\cyri}{\cyrm}{\cyro}{\cyrs}{\cyrt}{\cyrsftsn} {\cyrv}~{\cyrn}{\cyre}{\cyrk}{\cyro}{\cyrt}{\cyro}{\cyrr}{\cyrery}{\cyrh} {\cyrf}{\cyru}{\cyrn}{\cyrk}{\cyrc}{\cyri}{\cyro}{\cyrn}{\cyra}{\cyrl}{\cyrsftsn}{\cyrn}{\cyrery}{\cyrh} {\cyrt}{\cyro}{\cyrp}{\cyro}{\cyrl}{\cyro}{\cyrg}{\cyri}{\cyrch}{\cyre}{\cyrs}{\cyrk}{\cyri}{\cyrh} {\cyrv}{\cyre}{\cyrk}{\cyrt}{\cyro}{\cyrr}{\cyrn}{\cyrery}{\cyrh} {\cyrp}{\cyrr}{\cyro}{\cyrs}{\cyrt}{\cyrr}{\cyra}{\cyrn}{\cyrs}{\cyrt}{\cyrv}{\cyra}{\cyrh}},
journal = {Problemy analiza},
pages = {68--91},
year = {1999},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/PA_1999_6_a8/}
}
TY - JOUR
AU - S. S. Platonov
TI - Сходимость и секвенциальная сходимость в некоторых функциональных топологических векторных пространствах
JO - Problemy analiza
PY - 1999
SP - 68
EP - 91
IS - 6
UR - http://geodesic.mathdoc.fr/item/PA_1999_6_a8/
LA - ru
ID - PA_1999_6_a8
ER -
%0 Journal Article
%A S. S. Platonov
%T Сходимость и секвенциальная сходимость в некоторых функциональных топологических векторных пространствах
%J Problemy analiza
%D 1999
%P 68-91
%N 6
%U http://geodesic.mathdoc.fr/item/PA_1999_6_a8/
%G ru
%F PA_1999_6_a8
In some function spaces, which are inductive limits of the normed spaces, the connections between various definitions of convergence of sequences, boundednes and closure of sets are investigated. In particular, the spaces consisting of functions on homogeneous spaces of locally compact topological groups are considered. The equivalence to a closure and sequential closure for linear $G$-invariant subspaces is proved.
