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 ...

We study the quasi-weakly compact operators between normed spaces, which are described in terms of their first and second conjugates. Using a result on factorisation of an arbitrary linear operator ...

Linear operators form the backbone of modern mathematical analysis and have become indispensable in characterising the behaviour of dynamical systems. At their core, these operators are functions that ...

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 ...

This is a subject I struggled with the first time I took it. Ironically, this was the engineering version of it. It wasn't until I took the rigorous, axiomatic version that everything clicked.