On the class of spaces of summable family

Author:

Phuong Chi KIEU, ,The Tan MAI,Duc Kien DUONG, ,

Abstract

In this paper, we construct the Banach space of summable families of numbers. The results are natural extension of the space of number sequences (see [3], [4], [5]).

Publisher

Vinh University

Reference9 articles.

1. [1] Khan Vakeel A. and Lohani Q. M. D., "Some new difference sequences spaces defined by Musielak-Orlicz function", Thai J. Math., 6 , No. 1, 215-223, 2008.

2. [2] Khan Vakeel A., On a new sequence space defined by Musielak-Orlicz functions, Stud. Univ. Babes-Bolyai Math. 55, No. 2, 143-149, 2010.

3. [3] Lindenstrauss J. and Tzafriri L., Classical Banach spaces. I. Sequence spaces, Springer - Verlag, Berlin - New York.

4. [4] Lindenstrauss J. and Tzafriri L., "On Orlicz sequence spaces III", Israel J. Math., 14, 368-389, 1973.

5. [5] Lindenstrauss J. and Tzafriri L., "On Orlicz sequence spaces II", Israel J. Math., 11, 355-379, 1972.

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