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All Journal Pythagoras: Jurnal Matematika dan Pendidikan Matematika
Karyati Karyati
Jurusan Pendidikan Matematika, FMIPA, Universitas Negeri Yogyakarta
Education Mathematics

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MASALAH NORM MINIMUM PADA RUANG HILBERT DAN APLIKASINYA Karyati Karyati; Dhoriva Urwatul Wutsqa
PYTHAGORAS Jurnal Pendidikan Matematika Vol 3, No 1: Juni 2007
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (128.393 KB) | DOI: 10.21831/pg.v3i1.628

Abstract

In this paper, will be discussed about the minimum norm in the pre- Hilbert Space, Hilbert space and its modification, and its application. The results are: Let X be a pre-Hilbert space and M is a sub space of X. If an element is fixed, then : . If there is such that , then is unique. Let H be a Hilbert space and M be a closed sub space of H . If , then there is a unique element such that , . Let X be a Hilbert space , M be a closed sub space of X . If V =x+ M, for an element xX, then there is a unique element of such that , M.Key words : minimum norm, pre-Hilbert space, Hilbert space , orthogonality
Co-Authors Dhoriva Urwatul Wutsqa