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Riesz Representation Theorem on Bilinear Spaces of Truncated Laurent Series

Journal of Mathematical and Fundamental Sciences · Vol. 49 No. 1 (2017) · hlm. 33–39

DOI
10.5614/j.math.fund.sci.2017.49.1.3
ISSN
2338-5510, 2337-5760
Terbit
2017-04-06
Penerbit
Directorate for Research and Innovation (DRI) ITB
Bahasa
eng

Abstrak

In this study a generalization of the Riesz representation theorem on non-degenerate bilinear spaces, particularly on spaces of truncated Laurent series, was developed. It was shown that any linear functional on a non-degenerate bilinear space is representable by a unique element of the space if and only if its kernel is closed. Moreover an explicit equivalent condition can be identified for the closedness property of the kernel when the bilinear space is a space of truncated Laurent series.

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  • Universitas Gadjah Mada
  • Hasanuddin University
  • IPB University
  • Bandung Institute of Technology
  • University of Indonesia
  • Mulawarman University
  • Jenderal Soedirman University
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Rekan penulisOrganisasiArtikel bersama
Hera MaheshwariAfiliasi tidak diketahui2
Claude Mona AirinAfiliasi tidak diketahui2
Sarmin SarminUniversitas Gadjah Mada2
Rarastoeti PratiwiUniversitas Gadjah Mada2
Sisilia SylvianiPadjadjaran University2
Jeriko GormantaraHasanuddin University1
Amir Kamal AmirHasanuddin University1
Evan RamdanHasanuddin University1
Irawati IrawatiBandung Institute of Technology1
Andi Muhammad AnwarHasanuddin University1
TUTY LASWARDI YUSUFAfiliasi tidak diketahui1
ERIC HAYESAfiliasi tidak diketahui1
LUTHFIRALDA SJAHFIRDIAfiliasi tidak diketahui1
DONDIN SAJUTHIAfiliasi tidak diketahui1
Hadi Sukardi AlikodraAfiliasi tidak diketahui1
Bambang PurwantaraIPB University1
Dondin SajuthiIPB University1
Reviany WidjajakusumaIPB University1
Luthfiralda SjahfirdiUniversity of Indonesia1
Muhammad Naufal Prayitno PutraAfiliasi tidak diketahui1
Muhammad Fariz Ash ShiddiqUniversitas Gadjah Mada1
Rizki Fitrawan YuneldiUniversitas Gadjah Mada1
Akhmad Abror As SidiqiUniversitas Gadjah Mada1
Asmarani KusumawatiAfiliasi tidak diketahui1
Penny Humaidah HamidAfiliasi tidak diketahui1
Laurentius Hartanto NugrohoUniversitas Gadjah Mada1
Sukarti MoeljopawiroUniversitas Gadjah Mada1
Retno AryaniMulawarman University1
Bambang RetnoajiUniversitas Gadjah Mada1
Endah Sri PalupiJenderal Soedirman University1
Firman AlamsyahUniversitas Al-Azhar Indonesia1
Warsito Purwo TarunoAfiliasi tidak diketahui1
Agah Drajat GarnadiIPB University1
Aminuddin MustaffaSultan Zainal Abidin University1
Vita MahardhikaUniversitas Negeri Surabaya1

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Sumber metadata: OAI-PMH (metadata jurnal) https://journals.itb.ac.id/index.php/jmfs/oai, pertama di-harvest 9 Nov 2026, terakhir terlihat 9 Nov 2026.
Metadata asli (oai_dc) 
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	<dc:title xml:lang="en-US">Riesz Representation Theorem on Bilinear Spaces of Truncated Laurent Series</dc:title>
	<dc:creator>Sabarinsyah, Sabarinsyah</dc:creator>
	<dc:creator>Garminia, Hanni</dc:creator>
	<dc:creator>Astuti, Pudji</dc:creator>
	<dc:subject xml:lang="en-US">bilinear forms</dc:subject>
	<dc:subject xml:lang="en-US">closed subspaces</dc:subject>
	<dc:subject xml:lang="en-US">non-degenerate</dc:subject>
	<dc:subject xml:lang="en-US">Riesz representation theorem</dc:subject>
	<dc:subject xml:lang="en-US">truncated Laurent series.</dc:subject>
	<dc:description xml:lang="en-US">In this study a generalization of the Riesz representation theorem on non-degenerate bilinear spaces, particularly on spaces of truncated Laurent series, was developed. It was shown that any linear functional on a non-degenerate bilinear space is representable by a unique element of the space if and only if its kernel is closed. Moreover an explicit equivalent condition can be identified for the closedness property of the kernel when the bilinear space is a space of truncated Laurent series.</dc:description>
	<dc:publisher xml:lang="en-US">Directorate for Research and Innovation (DRI) ITB</dc:publisher>
	<dc:date>2017-04-06</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://journals.itb.ac.id/index.php/jmfs/article/view/1983</dc:identifier>
	<dc:identifier>10.5614/j.math.fund.sci.2017.49.1.3</dc:identifier>
	<dc:source xml:lang="en-US">Journal of Mathematical and Fundamental Sciences; Vol. 49 No. 1 (2017); 33-39</dc:source>
	<dc:source>2338-5510</dc:source>
	<dc:source>2337-5760</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://journals.itb.ac.id/index.php/jmfs/article/view/1983/1804</dc:relation>
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