Ortogonalitas di Ruang Bernorm

Authors

  • Nursupiamin Nursupiamin STAIN Palopo, Indonesia

DOI:

https://doi.org/10.24256/jpmipa.v1i1.51

Keywords:

Ortogonalitas, Ruang bernorm

Abstract

Ortogonalitas merupakan salah satu konsep yang penting di ruang hasil kali dalam.  Sementara itu, ortogonalitas di ruang bernorm belum dikenal secara umum.  Akan tetapi, ada beberapa tipe ortogonalitas di ruang bernorm yang telah dikembangkan, yaitu ortogonalitas-BJ, -I, dan –P.  Demikian halnya di ruang bernorm-2 terdapat konsep ortogonalitas-D.  Pada makalah ini, dipaparkan secara singkat sifat-sifat dasar dari keempat ortogonalitas tersebut yang meliputi sifat nondegenerasi, simetri, homogen, aditif kanan, resolvabilitas, dan kontinuitas.  Keekivalenan antara keempat ortogonalitas ini dengan ortogonalitas biasa di ruang hasil kali dalam juga dipaparkan dalam akhir makalah ini.

References

Gunawan, H., Mashadi, Gemawati, S., Nursupiamin, Sihwaningrum, I., 2006, Orthogonality in 2-Normed Spaces Revisited, Univ. Beograd. Publ. Electrotehn. Fak. Ser. Mat. 17, 76-83.

Khan, A., Siddiqui, A., 1982, B-orthogonality in 2-Normed Spaces, Bull. Cal. Math. Soc. 74, 216-222.

Nursupiamin, 2003, Ortogonalitas-BJ, -I, -P, dan –D di Ruang Bernorm (Tesis), Institut Teknologi Bandung.

Partington, J.R., 1986, Orthogonality in Normed Spaces, Bull. Austral. Math. Soc. 33, 449-455.

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Published

19-08-2018

How to Cite

Nursupiamin, N. (2018). Ortogonalitas di Ruang Bernorm. Al-Khwarizmi : Jurnal Pendidikan Matematika Dan Ilmu Pengetahuan Alam, 1(1), 17–22. https://doi.org/10.24256/jpmipa.v1i1.51

Issue

Vol. 1 No. 1 (2013): Al-Khwarizmi: Jurnal Pendidikan Matematika dan Ilmu Pengetahuan Alam

Section

Articles

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