Some B-difference sequence spaces derived by generalized means and compact operators

Authors

A. Maji, Indian Statistical Institute Bangalore
A. Manna, Indian Institute of Carpet Technology
P. D. Srivastava, Indian Institute of Technology Kharagpur

Article Type

Research Article

Publication Title

Kragujevac Journal of Mathematics

Abstract

This paper presents new sequence spaces X(r, s, t, p; B) for X ∈ (l∞(p), c(p), c0(p), l(p)) defined by using generalized means and difference operator. It is shown that these spaces are complete paranormed spaces and the spaces X(r, s, t, p; B) for X ∈ (c(p), c0(p), l(p)) have Schauder basis. Furthermore, the α-, β-, γ- duals of these sequence spaces are computed and also obtained necessary and sufficient conditions for some matrix transformations from X(r, s, t, p; B) to X. Finally, some classes of compact operators on the space lp(r, s, t; B) are characterized by using the Hausdorffmeasure of noncompactness.

First Page

7

Last Page

32

DOI

10.5937/KgJMath1701007M

Publication Date

1-1-2017

Comments

Open Access, Gold

Recommended Citation

Maji, A.; Manna, A.; and Srivastava, P. D., "Some B-difference sequence spaces derived by generalized means and compact operators" (2017). Journal Articles. 2771.
https://digitalcommons.isical.ac.in/journal-articles/2771