## Toka Diagana

*Representation of bilinear forms in non-Archimedean Hilbert space by linear operators *

Comment.Math.Univ.Carolin. 47,4 (2006) 695-705. **Abstract:**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 $A$.

**Keywords:** non-Archimedean Hilbert space, non-Archimedean bilinear form, unbounded operator, unbounded bilinear form, bounded bilinear form, self-adjoint operator

**AMS Subject Classification:** 47S10, 46S10

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