Glasnik matematički, Vol. 43 No. 2, 2008.
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
Publication date:
10.11.2008.
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