TEOREMA REPRESENTASI RIESZ–FRECHET PADA RUANG HILBERT

  • Mozart W. Talakua Jurusan Matematika FMIPA Universitas Pattimura
  • Stenly J. Nanuru Jurusan Matematika FMIPA Universitas Pattimura
Keywords: Banach Spaces, Hilbert Spaces, Norm Space, Pre-Hilbert Spaces, Representation Riesz

Abstract

Hilbert space is a very important idea of the Davids Hilbert invention. In 1907, Riesz and Fréchet developed one of the theorem in Hilbert space called the Riesz-Fréchet representation
theorem. This research contains some supporting definitions Banach space, pre-Hilbert spaces, Hilbert spaces, the duality of Banach and Riesz-Fréchet representation theorem. On Riesz-
Fréchet representation theorem will be shown that a continuous linear functional that exist in the Hilbert space is an inner product, in other words, there is no continuous linear functional on a Hilbert space except the inner product.

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Published
2018-01-26
How to Cite
[1]
M. Talakua and S. Nanuru, “TEOREMA REPRESENTASI RIESZ–FRECHET PADA RUANG HILBERT”, BAREKENG, vol. 5, no. 2, pp. 1-8, Jan. 2018.

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