The study of Banach spaces and operator algebras constitutes a central theme in modern functional analysis, providing a rigorous framework through which complex systems can be understood. Banach ...
Banach spaces, being complete normed vector spaces, offer a versatile framework for analysing continuous linear operators and serve as a cornerstone of modern functional analysis. Their intrinsic ...
In this paper, we derive a trace formula for self adjoint fourth order differential operator with bounded operator coefficient in the separable Banach space. Compared with the regularized trace ...