PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika
Document Type
Article
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
Page Range
1-14
Issue
1
Volume
3
Digital Object Identifier (DOI)
10.21831/pg.v3i1.628
Source
https://journal.uny.ac.id/index.php/pythagoras/article/view/628
Recommended Citation
Karyati, K., & Wutsqa, D. U. (2007). MASALAH NORM MINIMUM PADA RUANG HILBERT DAN APLIKASINYA. PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika, 3(1), 1-14. https://doi.org/10.21831/pg.v3i1.628
References
[1] Depree, J.D, Swartz, C.W. 1988. Introduction to Real Analysis. John Wiley & Sons, Inc. New York.
[2] Luenberger, D.G. 1968. Optimization by Vector Space Method. John Wiley & Sons, Inc. New York.
[3] Smith,L. 1998. Linear Algebra 3th Edition. Springer-Verlag. New York.