A contribution to the theory of modular spaces of sequences

• Autorzy: Waszak A.
• Języki publikacji: EN

Abstrakty

EN

For a given space T of all real sequences, non-negative matrix A = (a(nm)) and two sequences of convex Phi - functions (Phi p = ((Phim) and Psi = (Psi/m) we considered two modular spaces of sequences T Phi, and T*GgPsi. This note contains theorems which determinate relationship betveen these spaces.

Słowa kluczowe

EN

sequence spaces; modular spaces

PL

ciąg matematyczny; przestrzeń modularna

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2004
• Tom: Nr 34
• Strony: 149--156
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

Waszak A.

• Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland

Bibliografia

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• [3] A. Kufner, O. John, S. Fučik, Function spaces, Prague 1977.
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• [10] J. Musielak, A. Waszak, Generalized vriation and translagtion operator in some sequence spaces, Hokkaido Math. Jour. 17(1988), 345-353.
• [11] J. Musielak, A. Waszak, Sequence spaces generated by moduli of smoothness, Revesta Mat. Univ. Comp. 8(1995), 91-105.
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• [17] A. Waszak, Linear functional in Orlicz spaces of strong |A,φ| – summable sequences, Comment. Math. 13(1969), 97-105.
• [18] A. Waszak, Modular spaces of sequences connected with some methods of summability, Funct. et App. 25(1997), 99-107.
• [19] A. Waszak, The Musielak-Orlicz theorems, Funct. et App. 26(1998), 257-264.
• [20] A. Waszak, On properties of some modular spaces of double sequences, Fasc. Math. 23(2001), 105-116.
• [21] A. Waszak, D. Żurakowski, Musielak-Orlicz spaces of sequences connected with strong summability, Fasc. Math. 28(1998), 157-165.
• [22] D. Żurakowski, On completeness of some Musielak-Orlicz spaces, Fasc. Math. 24(1994), 13-17.