AbstractMaking use of a linear operator, which is defined here by means of the Hadamard product (or convolution), we introduce two novel subclasses Ω𝑎,𝑐(𝑝, 𝐴, 𝐵, 𝜆) and Ω a,c + (p,A,B,λ) of ...

Compact and weakly compact operators on function spaces are studied. Those operators are characterized by properties of finitely additive set functions whose existence is guaranteed by Riesz ...

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 ...

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.