Contractive and optimal sets in Musielak-Orlicz spaces with a smoothness condition

• Autorzy: Denkowska A.
• Języki publikacji: EN

Abstrakty

EN

In this paper we use our recent generalization of a theorem of Jamison--Kaminska-Lewicki (characterizing one-complemented subspaces in Musielak-Orlicz sequence spaces defined by Musielak-Orlicz functions satisfying a general smoothness condition) in order to compare contractive and optimal sets in finite-dimensional Musielak-Orlicz [formula] spaces in the spirit of Kaminska-Lewicki. We also give an example illustrating the importance of the smoothness assumptions in our theorem.

Słowa kluczowe

EN

Musielak-Orlicz sequence spaces; one-complemented subspaces; contractive and optimal sets

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2013
• Tom: Vol. 33, no. 4
• Strony: 667--684
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Denkowska A.

• Cracow University of Economics Department of Mathematics Rakowiecka 27, 31-510 Cracow, Poland

Bibliografia

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