Local structure of generalized Orlicz−Lorentz function spaces

• Autorzy: Paweł Kolwicz
• Języki publikacji: EN

Abstrakty

EN

We study the local structure of a separated point \(x\) in the generalized Orlicz-Lorentz space \(\Lambda ^{\varphi }\) which is a symmetrization of the respective Musielak-Orlicz space \(L^{\varphi }\). We present criteria for an \(LM\) point and a \(\mathit{UM}\) point, and sufficient conditions for a point of order continuity and an \(\mathit{LLUM}\) point, in the space \(\Lambda ^{\varphi }\). We prove also a characterization of strict monotonicity of the space \(\Lambda ^{\varphi }\).

Słowa kluczowe

EN

symmetric spaces; symmetrization of the Banach function space; generalized Orlicz-Lorentz space; Musielak-Orlicz space; monotonicity properties; order continuity; local structure of a separated point

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2015
• Tom: 55
• Numer: 2

Daty

wydano

2015

online

2016-05-25

Twórcy

autor

Paweł Kolwicz

Identyfikatory

DOI

10.14708/cm.v55i2.1121