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 ...

We investigate the ideal 𝒦up, 1 ≤ 𝑝 ≤ ∞, of unconditionally 𝑝-compact operators. We obtain theisometricidentities 𝒦up = 𝒦up o 𝒦up, K up max = L p* sur , K up min = ⊗ ^ / w p* and K up = N up ...

Banach spaces, as complete normed vector spaces, have long served as a fundamental framework for analysing linear operators. Operator theory within these spaces investigates the properties and ...