Banach space theory is a central branch of modern functional analysis concerned with the properties of complete normed vector spaces. This area of mathematics encompasses the study of geometric ...

Banach space theory, a cornerstone of functional analysis, investigates complete normed vector spaces and the continuous linear operators acting between them. Within this framework, operator ideals ...

Functional data analysis is typically conducted within the L²-Hilbert space framework. There is by now a fully developed statistical toolbox allowing for the principled application of the functional ...

We consider the bifurcation problem for the nonlinear operator equation x = λ Lx + T(λ, x, y) in a real Banach space X. Here λ0 is an eigenvalue of the bounded ...