Year: 2026
Type: preprint
Abstract: 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 analogue of the classical spectral theorem for compact self-adjoint operators on Hilbert spaces.
Source: arXiv (Cornell University)
Author: Shameem, Mohammed
Institution: National Institute of Technology Calicut
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G7590503569
OpenAlex ID: W7202126216