Representation of Bilinear Forms by Linear Operators in Non-archimedean Hilbert Space Equipped with a Krull Valuation

@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}
}
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. 

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 14 references

Erratum to “Towards a theory of some unbounded linear oper ators onp-adic Hilbert spaces and applications

  • T. D IAGANA
  • Ann. Math. Blaise Pascal
  • 2006
Highly Influential
6 Excerpts

An Introduction to Classical and p-adic Theory of Linear Ope rators and Applications

  • T. D IAGANA
  • 2006
1 Excerpt

Fractional powers of the algebraic sum of normal operator s

  • T. D IAGANA
  • Proc. Amer. Math. Soc
  • 2006
1 Excerpt

Norm Hilbert spaces over Krull valued fields

  • H. OCHSENIUS, W H.SCHIKHOF
  • Indag. Math. (N.S.)
  • 2006

Representation of bilinear forms in non-Archimedian Hil bert spaces by linear operators.Comment

  • T. D IAGANA
  • Math. Univ. Carolin
  • 2006

Towards a theory of some unbounded linear operators on p-adic Hilbert spaces and applications

  • T. D IAGANA
  • Ann. Math. Blaise Pascal
  • 2005
1 Excerpt

Hilbert-like spaces over Krull valued fields

  • H. OCHSENIUS
  • Nijmegen,
  • 2002

Similar Papers

Loading similar papers…