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All Journal AKSIOMA: Jurnal Program Studi Pendidikan Matematika AlphaMath: Journal of Mathematics Education KALAMATIKA Jurnal Pendidikan Matematika Unisda Journal of Mathematics and Computer Science (UJMC) Abdimas Dewantara Prima: Jurnal Pendidikan Matematika JKPM (Jurnal Kajian Pendidikan Matematika) Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Indonesian Psychological Research Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Mosharafa: Jurnal Pendidikan Matematika International Journal of Economy, Education and Entrepreneurship (IJE3) International Journal of Multidisciplinary Research and Literature (IJOMRAL) Prosiding Seminar Nasional Hasil-hasil Penelitian dan Pengabdian Pada Masyarakat Jurnal Pendidikan MIPA
Gunawan Gunawan
Universitas Muhammadiyah Purwokerto
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Journal : Unisda Journal of Mathematics and Computer Science (UJMC)

 1 
OPERATOR SELF ADJOINT PADA RUANG HILBERT Gunawan Gunawan
Unisda Journal of Mathematics and Computer Science (UJMC) Vol 1 No 01 (2015): Unisda Journal of Mathematics and Computer Science
Publisher : Mathematics Department of Mathematics and Natural Sciences Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1496.991 KB) | DOI: 10.52166/ujmc.v1i01.400

Abstract

In this article, will discuss definition, examples, algebra properties, and somecharacteristic of self-adjoint operators on Hilbert space. In the Hilbert space there are types ofbounded linear operators such as adjoint operators and self-adjoint operators. To investigatecharacteristic of self-adjoint operator required concepts of Hilbert space, operators on Hilbertspaces, Riesz representation theorem, and adjoint operators on Hilbert space. It then takes athought to investigate the characteristic of self-adjoint operators. Discussion of self-adjointoperators more emphasis on understanding the definition, algebra properties, and characteristic ofself-adjoint operators on Hilbert space. The results obtained are algebra properties of self-adjointoperators such as addition, subtraction, scalar multiplication, and multiplication of self-adjointoperators. In addition, some characteristic associated with self-adjoint operators on Hilbert space.
TEOREMA WEYL UNTUK OPERATOR HYPONORMAL Gunawan Gunawan
Unisda Journal of Mathematics and Computer Science (UJMC) Vol 3 No 1 (2017): Unisda Journal of Mathematics and Computer Science
Publisher : Mathematics Department of Mathematics and Natural Sciences Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (282.96 KB) | DOI: 10.52166/ujmc.v3i1.456

Abstract

This paper aims at describing the natures of Hyponormal operator to secure the existence of Weyl’s theorem. The discussion on Weyl’s theorem requires definitions of compact, Fredhlom, and Weyl’s operator. In addition, samples and natures of compact and Fredhlom operator in Hilbert space will also be observed.
Co-Authors Agung Muhammad Iqbal Akhmad Jazuli Ardony Misbahul Munir Ari Wardayani, Ari Cahya Setyautami Chumaedi Sugihandardji Desy Puspitasari Dinar Muflihati Eka Setyaningsih Erni Widiyastuti Fatin Rohmah Wahidah Ferry Ferdianto Fitria Zana Kumala Fitrianto Eko Subekti Herdian Herdian Irfan Saeful Hidayat Jaka Wijaya Kusuma Joko Purwanto Kusno Kusno Kusuma, Anggun Badu Lukmanul Akhsani Makhful Makhful Meike Wigati Miranti, Indira Pipit Nindya Pranita Nuhyal Ulia Nuhyal Ulia, Nuhyal Nur'aeni Nur'aeni Nurhikmah Widi Asriani Nurul Istiqomah Reni Untarti Sairan Sairan Salma Nur Azizah Sari Muliawanti Setiyani Sheila Anjarani Sri Rohmawati Yudha Febrianta Yusak Wijaya Y