Open Access
August 2006 On some new seminormed sequence spaces defined by modulus functions
Yavuz ALTIN, Mahmut I\C{S}IK
Hokkaido Math. J. 35(3): 565-572 (August 2006). DOI: 10.14492/hokmj/1285766416

Abstract

In this paper we introduce the sequence spaces $\ell _{\infty }(f,p,\sigma ,q,s),c_{0}(f,p,\sigma ,q,s)$ and $c(f,p,\sigma ,q,s)$ using a modulus function $f$ and defined over a seminormed space$(X,q)$, seminormed by $q$. We study some properties of these sequence spaces and obtain some inclusion relations.

Citation

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Yavuz ALTIN. Mahmut I\C{S}IK. "On some new seminormed sequence spaces defined by modulus functions." Hokkaido Math. J. 35 (3) 565 - 572, August 2006. https://doi.org/10.14492/hokmj/1285766416

Information

Published: August 2006
First available in Project Euclid: 29 September 2010

zbMATH: 1129.46002
MathSciNet: MR2275501
Digital Object Identifier: 10.14492/hokmj/1285766416

Subjects:
Primary: 40C05
Secondary: 40A05 , 40D05

Keywords: invariant mean , modulus function , seminorm

Rights: Copyright © 2006 Hokkaido University, Department of Mathematics

Vol.35 • No. 3 • August 2006
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