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

Toka Diagana (2006)

Commentationes Mathematicae Universitatis Carolinae

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 φ is a symmetric, non-degenerate bilinear form on a non-Archimedean Hilbert space, then φ is representable by a unique self-adjoint (possibly unbounded) operator A .

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

Dodzi Attimu, Toka Diagana (2007)

Commentationes Mathematicae Universitatis Carolinae

The paper considers the representation of non-degenerate bilinear forms on the non-Archimedean Hilbert space 𝔼 ω × 𝔼 ω by linear operators. More precisely, upon making some suitable assumptions we prove that if ϕ is a non-degenerate bilinear form on 𝔼 ω × 𝔼 ω , then ϕ is representable by a unique linear operator A whose adjoint operator A * exists.

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