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What is p-Adic Hilbert Spaces Explained about?
The paper investigates p-adic Hilbert spaces, which are linear spaces over extensions of p-adic fields with a bilinear symmetric inner product. It establishes axiomatic definitions, properties, and theorems related to these spaces, drawing analogies to classical Hilbert spaces while noting some differences. Key results include the existence of coordinate systems, spectral theorems for operators, and the characterization of proper manifolds and projections within these spaces.
- Author
- Arka Prabha Roy
- Language
- EN