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 ...

In this note we give a new criterion guaranteeing the uniqueness of a minimal norm representative of a bounded linear operator which commutes with a finite multiplicity shift. We moreover give ...

In this paper we develop some properties about bounded linear operators. We investigate relationships between bounded below and norm equivalent operators. Finally, we study conditions under which ...

Yosra Barkaoui's doctoral dissertation in mathematics at the University of Vaasa, Finland, has successfully generalised a fundamental theorem that has ...

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 ...