Geodesic
On the boundedness of sets in Musielak-Orlicz spaces
Commentationes Mathematicae, Tome 53 (2013) no. 2, p. 405−412.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

The notions of metrical and topological vector boundedness of sets are considered in Musielak-Orlicz spaces. The space is called right if both these notions are equivalent. Necessary conditions of the rightness are established, and certain sufficient conditions are found.
DOI : 10.14708/cm.v53i2.800
Mots-clés : bounded set in topological vector space, F-norm, gen-~function, Musielak-Orlicz space, right space 
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Isaac V. Shragin. On the boundedness of sets in Musielak-Orlicz spaces. Commentationes Mathematicae, Tome 53 (2013) no. 2, p.  405−412. doi : 10.14708/cm.v53i2.800. http://geodesic.mathdoc.fr/articles/10.14708/cm.v53i2.800/

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