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Operator Adjoint pada Ruang Fungsi Terintegral Dunford

PRISMA, Prosiding Seminar Nasional Matematika · Vol. 3 (2020) · pp. 34–40

ISSN
2613-9189
Published
2020-02-28
Publisher
Jurusan Matematika FMIPA UNNES
Language
eng

Abstract

Artikel ini mengkaji integral Dunford fungsi bernilai Banach. Jika fungsi merupakan fungsi terukur lemah sedemikian sehingga fungsi terintegral Lebesgue, maka fungsi tersebut dikatakan terintegral Dunford. Nilai integral Dunford atas sebarang himpunan terukur adalah. Diperlihatkan bahwa koleksi semua fungsi terintegral Dunford, merupakan ruang linear. Jika untuk setiap didefinisikan operator oleh, untuk setiap, maka merupakan operator Adjoint dari operator. Ditunjukan bahwa operator Adjoint merupakan operator linear dan terbatas. Selanjutnya dikaji beberapa sifat yang lain dari operator Adjointnya.

Collaboration network of the authors

40 authors · 99 co-authorship links · 2 across different organisations · showing the 40 most connected

Hover or tap a name to highlight its co-authors. Double-click to open the author's page.

  • Sebelas Maret University
  • Yogyakarta State University
  • Universitas Jember
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Kususanto Ditto PrihadiAffiliation unknown6
Lenny MarlindaAffiliation unknown3
Muhammad Al MuttaqiiAffiliation unknown3
Yan NurcahyaAffiliation unknown2
Sudibyo SudibyoAffiliation unknown2
Peri OktiarmiAffiliation unknown2
Sugeng PriyantoAffiliation unknown2
Indri YatiAffiliation unknown2
Zahari IshakAffiliation unknown2
Mujtahid MujtahidAffiliation unknown2
Mohammad PadilAffiliation unknown2
Purnomo PurnomoAffiliation unknown2
F.X. SusiloAffiliation unknown2
Yuyun FitrianaAffiliation unknown2
I Gede SwibawaAffiliation unknown2
Radix SuharjoAffiliation unknown2
Astrid Noviana ParadhitaSebelas Maret University1
Mutiara Auliya KhadijaSebelas Maret University1
Agus PurbayuSebelas Maret University1
Sahirul Alim Tri BawonoSebelas Maret University1
Sri HaryatiSebelas Maret University1
Daaniis Raditya Pramoda WardaniSebelas Maret University1
Rafael Kurniawan Albyseptra PratamaSebelas Maret University1
Diana ZuhrohAffiliation unknown1
Wahyu LestariYogyakarta State University1
Sunarto SunartoAffiliation unknown1
Eko SugiartoAffiliation unknown1
Muh Fakhrihun NaamAffiliation unknown1
Dwi Ardi Wicaksana PutraAffiliation unknown1
Depi RusdaAffiliation unknown1
Khairul AnamUniversitas Jember1
Novriadi NovriadiAffiliation unknown1
Saliha SebgagAffiliation unknown1
Muhammad Mujtaba Mitra ZuanaAffiliation unknown1
Ira SuryaniAffiliation unknown1
Kustiyono KustiyonoAffiliation 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://journal.unnes.ac.id/sju/index.php/prisma/oai, first harvested 6 Nov 2026, last seen 6 Nov 2026.
Original metadata (oai_dc) 
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	<dc:title xml:lang="en-US">Operator Adjoint pada Ruang Fungsi Terintegral Dunford</dc:title>
	<dc:creator>Solikhin, Solikhin</dc:creator>
	<dc:creator>Hariyanto, Susilo</dc:creator>
	<dc:creator>Sumanto, YD</dc:creator>
	<dc:creator>Aziz, Abdul</dc:creator>
	<dc:description xml:lang="en-US">Artikel ini mengkaji integral Dunford fungsi bernilai Banach . Jika fungsi &amp;nbsp;merupakan fungsi terukur lemah sedemikian sehingga fungsi &amp;nbsp;terintegral Lebesgue, maka fungsi tersebut dikatakan terintegral Dunford. Nilai integral Dunford atas sebarang &amp;nbsp;himpunan terukur&amp;nbsp; adalah . Diperlihatkan bahwa koleksi semua fungsi terintegral Dunford, &amp;nbsp;merupakan ruang linear. Jika untuk setiap &amp;nbsp;didefinisikan operator &amp;nbsp;oleh , untuk setiap , maka &amp;nbsp;merupakan operator Adjoint dari operator . Ditunjukan bahwa operator Adjoint &amp;nbsp;merupakan operator linear dan terbatas. Selanjutnya dikaji beberapa sifat yang lain dari operator Adjointnya.</dc:description>
	<dc:publisher xml:lang="en-US">Jurusan Matematika FMIPA UNNES</dc:publisher>
	<dc:date>2020-02-28</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:type xml:lang="en-US">Peer-reviewed Article</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://journal.unnes.ac.id/sju/prisma/article/view/37545</dc:identifier>
	<dc:source xml:lang="en-US">PRISMA, Prosiding Seminar Nasional Matematika; Vol 3 (2020): PRISMA, Prosiding Seminar Nasional Matematika; 34-40</dc:source>
	<dc:source>2613-9189</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://journal.unnes.ac.id/sju/prisma/article/view/37545/15468</dc:relation>
</oai_dc:dc>