Matematičeskie zametki, Tome 20 (1976) no. 5, pp. 681-692
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I. V. Shragin. Conditions for the embedding of classes of sequences and their consequences. Matematičeskie zametki, Tome 20 (1976) no. 5, pp. 681-692. http://geodesic.mathdoc.fr/item/MZM_1976_20_5_a6/
@article{MZM_1976_20_5_a6,
author = {I. V. Shragin},
title = {Conditions for the embedding of classes of sequences and their consequences},
journal = {Matemati\v{c}eskie zametki},
pages = {681--692},
year = {1976},
volume = {20},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1976_20_5_a6/}
}
TY - JOUR
AU - I. V. Shragin
TI - Conditions for the embedding of classes of sequences and their consequences
JO - Matematičeskie zametki
PY - 1976
SP - 681
EP - 692
VL - 20
IS - 5
UR - http://geodesic.mathdoc.fr/item/MZM_1976_20_5_a6/
LA - ru
ID - MZM_1976_20_5_a6
ER -
%0 Journal Article
%A I. V. Shragin
%T Conditions for the embedding of classes of sequences and their consequences
%J Matematičeskie zametki
%D 1976
%P 681-692
%V 20
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1976_20_5_a6/
%G ru
%F MZM_1976_20_5_a6
We obtain necessary and sufficient conditions for the embedding of classes, which consist of sequences and are generated by certain functions. We use these conditions to study a number of problems in the theory of the coordinate spaces that are generalizations of Orlicz spaces, and in the theory of the superposition operator acting in these spaces.
