Local structure of generalized Orlicz−Lorentz function spaces

• Autorzy: Kolwicz P.

Identyfikatory

DOI

10.14708/cm.v55i2.1121

• Języki publikacji: EN

Abstrakty

EN

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

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: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2015
• Tom: Vol 55, No. 2
• Strony: 211--227
• Opis fizyczny: Bibliogr. 27 poz.

Twórcy

autor

Kolwicz P.

• Institute of Mathematics, Faculty of Electrical Engineereing, Poznań University of Technology, Piotrowo 3A, 60-965 Poznań, Poland

Bibliografia

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