2 papers
math.FA2026
Spectral theorem for compact self-adjoint operators on smooth Banach spaces
Mohammed Shameem, Deepesh K P
We establish a spectral representation theorem for compact operators that are self-adjoint with respect to the duality mapping on smooth Banach spaces. The result is a natural anal…
math.FA2026
On properties of normal operators and self-adjoint operators on smooth Banach spaces
Mohammed Shameem, Deepesh K P
This article introduces classes of normal and unitary operators on smooth Banach spaces, providing extensions of the classical notions of normal and unitary operators from Hilbert…