Linear operators form the cornerstone of analysis in Banach spaces, offering a framework in which one can rigorously study continuity, spectral properties and stability. Banach space theory, with its ...

Let Ω ⊂ ℝp, p ϵ ℕ* be a nonempty subset and B(Ω) be the Branch lattice of all bounded real functions on a Ω, equipped with sup norm. Let 𝑋 ⊂ 𝐵(Ω) be a linear sublattice of 𝐵(Ω) and 𝐴: 𝑋 → 𝑋 be a ...

In the present paper we study the compositions of the piecewise linear interpolation operator S Δ n and the Beta-type operator B ¯ n , namely A n := S Δ n ∘ B ¯ n and G n := B ¯ n ∘ S Δ n .