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 ...

Abstract. In this paper, we consider three classes of bounded linear operators on a topological vector space with respect to three different topologies which are introduced by Troitsky. We obtain some ...

Maximal operators occupy a central role in modern analysis, serving as indispensable tools in understanding the local behaviour of functions. At their core, these operators assign to each point the ...

This is a preview. Log in through your library . Abstract Let X be a Banach space and let 𝓘 be the Banach operator ideal of integral operators. We prove that X has the λ-bounded approximation ...