Geodesic
Conditions for the embedding of classes of sequences and their consequences
Matematičeskie zametki, Tome 20 (1976) no. 5, pp. 681-692

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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. 
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     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},
     publisher = {mathdoc},
     volume = {20},
     number = {5},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1976_20_5_a6/}
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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/