Work

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

Year: 2017

Type: article

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 Hausdorff measure of noncompactness. .

Source: Kragujevac Journal of Mathematics

DOI: 10.5937/kgjmath1701007m

Authors: A. Maji, A. Manna, P.D. Srivastava

Institutions: Indian Statistical Institute, Bangalore Centre, Indian Institute of Technology Kharagpur

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: National Board for Higher Mathematics

OpenAlex ID: W2963856606