Banach envelopes of some quasi-Banach function spaces

• Autorzy: Kamińska A. , Kubiak D.

Identyfikatory

DOI

10.14708/cm.v56i1.1134

• Języki publikacji: EN

Abstrakty

EN

We show that under some assumptions on the Musielak−Orlicz function generating a quasi-Banach Musielak−Orlicz function space, the Banach envelope of the weighted Cesàro−Musielak−Orlicz space generated by a certain positive sublinear operator is a weighted L₁-space.

Słowa kluczowe

EN

Banach envelope; Mackey topology; quasi-normed lattices; Cesàro spaces; spaces via sublinear operators; Musielak-Orlicz spaces; Nakano space

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2016
• Tom: Vol 56, No. 1
• Strony: 87--101
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

Kamińska A.

• Department of mathematical Sciences, The University of Memphis, TN 38152-3240, USA

autor

Kubiak D.

• Mathematics Department, Tennessee Technological University, 110 University Drive, Box 5054, Cookeville, TN 38505, USA

Bibliografia

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.