Acta Scientiarum Mathematicarum, vol.91, no.1, pp.161-180, 2025 (ESCI, Scopus)
This paper delves into the examination of algebraic and topological attributes associated with the domains c0(G,q), c(G, q), and ℓ∞(G,q) pertaining to the Lambda–Pascal matrix G in Maddox’s spaces c0(q), c(q), and ℓ∞(q), respectively. The determination of the Schauder basis and the computation of α-, β-, and γ-duals for these Lambda–Pascal paranormed spaces are carried out. The ultimate section is dedicated to elucidating the classification of the matrix classes (ℓ∞(G,q),ℓ∞), (ℓ∞(G,q),f), and (ℓ∞(G,q),c), concurrently presenting the characterization of specific other sets of matrix transformations in the space ℓ∞(G,q) as corollaries derived from the primary outcomes.