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Jurnal SINTA 3

TEOREMA REPRESENTASI RIESZ–FRECHET PADA RUANG HILBERT

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 5 No. 2 (2011) · pp. 1–8

DOI
10.30598/barekengvol5iss2pp1-8
ISSN
2615-3017, 1978-7227
Published
2011-12-01
Publisher
PATTIMURA UNIVERSITY
Language
eng

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 representationtheorem. 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.

Collaboration network of the authors

36 authors · 76 co-authorship links

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Co-authorOrganisationJoint articles
Yopi A. LesnussaAffiliation unknown4
Henry J. WattimanelaAffiliation unknown2
Marlon S. N. van DelsenAffiliation unknown2
Henry W.M. PattyAffiliation unknown2
Lexy J. SinayAffiliation unknown2
Yopi Andry LesnussaAffiliation unknown2
Venn Y. I. IlwaruAffiliation unknown1
Jefri TipkaAffiliation unknown1
Lidia SalakaAffiliation unknown1
Trifena L. WasilaineAffiliation unknown1
F. S. TututparyAffiliation unknown1
Melky M. RomseryAffiliation unknown1
Sitri YuniAffiliation unknown1
HARMANUS BATKUNDEAffiliation unknown1
M. TomasoaAffiliation unknown1
Geornando G. PattyAffiliation unknown1
Ferry Kondo LembangAffiliation unknown1
Angelia C. LeunupunAffiliation unknown1
Dorteus L. RahakbauwAffiliation unknown1
Serly SurlialyAffiliation unknown1
Abraham Z. WattimenaAffiliation unknown1
Vanbasten TemartenanAffiliation unknown1
Zeth A. LeleuryAffiliation unknown1
A. W. TalutaAffiliation unknown1
Salmon N. AuleleAffiliation unknown1
B. TuasikalAffiliation unknown1
H. AbrahamsAffiliation unknown1
Jemsr S. BatlajeryAffiliation unknown1
Salmon Noce AuleleAffiliation unknown1
Helda Y. TaihuttuAffiliation unknown1
Berny P. TomasouwAffiliation unknown1
Venn Yan Ishak IlwaruAffiliation unknown1
Syella Z LimbaAffiliation unknown1
Fredrylo Alberth Noel Joddy ApituleyAffiliation unknown1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

Metadata source: OAI-PMH (metadata jurnal) https://ojs3.unpatti.ac.id/index.php/barekeng/oai, first harvested 5 Nov 2026, last seen 5 Nov 2026.
Original metadata (oai_dc) 
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	<dc:title xml:lang="en-US">TEOREMA REPRESENTASI RIESZ–FRECHET PADA RUANG HILBERT</dc:title>
	<dc:creator>Talakua, Mozart W.</dc:creator>
	<dc:creator>Nanuru, Stenly J.</dc:creator>
	<dc:description xml:lang="en-US">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 representationtheorem. 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.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2011-12-01</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/187</dc:identifier>
	<dc:identifier>10.30598/barekengvol5iss2pp1-8</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 5 No 2 (2011): BAREKENG : Jurnal Ilmu Matematika dan Terapan; 1-8</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/187/159</dc:relation>
</oai_dc:dc>