Informasi Detil Paper |
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| Judul: | Teorema Representasi Riesz-Frechet Pada Ruang Hilbert |
| Penulis: | Mozart W. Talakua & Stenly Jondry Nanuru || email: ocat_08@yahoo.com |
| Jurnal: | Barekeng Vol. 5 no. 2 - hal. 1-8 Tahun 2011 [ MIPA ] |
| 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 Frechet developed one of the theorem in Hilbert space called the Riesz-Frechet representation theorem. This research contains some supporting definitions Banach space, pre-Hilbert spaces, Hilbert spaces, the duality of Banach and Riesz-Frechet representation theorem. On Riesz- Frechet 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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