Formulae for nonsquare constants of Orlicz sequence spaces with Orlicz norm

• Autorzy: Yan Y.
• Języki publikacji: EN

Abstrakty

EN

Let l^phi be the Orlicz Sequence space generated by a N-function Phi(u) equipped with the Orlicz norm, phi be the right derivative of Phi. We show that the nonsquare constants Cj (l^phi] in the sense of James and Cj (l^phi ) in the sense of Schaffer satisfy: (i) if phi is concave, then Cj(l^phi) = sup inf [...], (ii) if phi is convex, then Cs(l^phi) = inf inf [...]. With this result we obtain some formulae for practical computation of non-square constants.

Słowa kluczowe

EN

James nonsquare constant; Schaffer nonsquare constant; Orlicz sequence space

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2003
• Tom: Vol. 51, no 3
• Strony: 233--246
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Yan Y.

• Department of Mathematics, Suzhou University, Suzhou, Jiangsu, 215006, P. R. China

Bibliografia

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