On the boundedness of sets in Musielak-Orlicz spaces

• Autorzy: Isaac V. Shragin
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

bounded set in topological vector space, F-norm, gen-~function, Musielak-Orlicz space, right space

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2013
• Tom: 53
• Numer: 2

Daty

wydano

2013

online

2014-12-15

Twórcy

autor

Isaac V. Shragin

Identyfikatory

DOI

10.14708/cm.v53i2.800