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 ...

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 ...