## Spectral analysis for rank one perturbations of diagonal operators in non-archimedean Hilbert space

- Toka Diagana, George D. McNeal
- 2010

@inproceedings{Diagana2010RepresentationOB, title={Representation of Bilinear Forms by Linear Operators in Non-archimedean Hilbert Space Equipped with a Krull Valuation}, author={Toka Diagana}, year={2010} }

- Published 2010

The paper considers representing bilinear forms by linear o pe ators in the case of a Krull valuation. More precisely, after making some suitab le assumptions, we prove that if φ is a non-degenerate bilinear form, then φ is representable by a unique linear operator A whose adjoint operator A∗ exists.