# Article

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Keywords:
non-Archimedean Hilbert space; non-Archimedean bilinear form; unbounded operator; unbounded bilinear form; bounded bilinear form; self-adjoint operator
Summary:
The paper considers representing symmetric, non-degenerate, bilinear forms on some non-Archimedean Hilbert spaces by linear operators. Namely, upon making some assumptions it will be shown that if $\phi$ is a symmetric, non-degenerate bilinear form on a non-Archimedean Hilbert space, then $\phi$ is representable by a unique self-adjoint (possibly unbounded) operator $A$.
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