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arXiv · 2608.06873

Spectral theorem for compact self-adjoint operators on smooth Banach spaces

Mohammed Shameem·Deepesh K P
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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.

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Mohammed Shameem, Deepesh K P. 2026-08-07. Spectral theorem for compact self-adjoint operators on smooth Banach spaces. https://arxiv.org/abs/2608.06873

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