The study of isometries within Banach spaces has emerged as a pivotal area of contemporary research, advancing both fundamental theory and practical applications. At its core, an isometry is a mapping ...

Hilbert space theory and operator algebras provide a robust framework for analysing linear operators and their spectral properties, which are pivotal in both pure and applied mathematics. Hilbert ...

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 ...