Original scientific paper

https://doi.org/10.3336/gm.43.2.13

Representation theorems for operators of type l_{p,q}^{v,omega,psi} and S_{omega,psi}

M. Gupta ; Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, U.P.- 208016, India
L. R. Acharya ; Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, U.P.- 208016, India

Abstract

Let 0 < p, q ≤ ∞, and ψ : [0, ∞) → [0, ∞) be a continuous, strictly increasing, subadditive function which satisfies ψ(0) = 0. For sequences v = {vn}, ω = {ωn} of positive numbers we define sequence classes lp,qv,ω,ψ and Sω,ψ and give representation theorems for an operator of type lp,qv,ω,ψ and Sω,ψ.

Keywords

Approximation numbers; sequence spaces

Hrčak ID:

28905

URI

https://hrcak.srce.hr/28905

Publication date:

10.11.2008.

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