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All Journal Jurnal Fourier Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Quadratic: Journal of Innovation and Technology in Mathematics and Mathematics Education
Supama Supama
Department Of Mathematics, Gadjah Mada University, Yogyakarta, 55281, Indonesia
Computer Science & IT Economics, Econometrics & Finance Education Mathematics Social Sciences Other

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Operator Linear-2 Terbatas pada Ruang Bernorma-2 Non-Archimedean Burhanudin Arif Nurnugroho; Supama Supama; A. Zulijanto
Jurnal Fourier Vol. 8 No. 2 (2019)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14421/fourier.2019.82.43-50

Abstract

Di dalam paper ini dikonstruksikan operator linear-2 terbatas dari X2 ke Y , dengan X ruang bernorma-2 non-Archimedean dan ruang bernorma non-Archimedean. Di dalam paper ini ditunjukan bahwa himpunan semua operator linear-2 terbatas dari X2 to Y , ditulis B(X2, Y) merupakan ruang bernorma non-Archimedean. Selanjutnya, ditunjukan bahwa B(X2, Y), apabila Y ruang Banach non-Archimedean. [In this paper we construct bounded 2-linear operators from X2 to Y, where X is non-Archimedean 2-normed spaces and is a non-Archimedean-normed space. We prove that the set of all bounded 2-linear operators from X2 to Y , denoted by B(X2, Y) is a non-Archimedean normed spaces. Furthermore, we show that B(X2, Y) is a non-Archimedean Banach normed space, whenever Y is a non-Archimedean Banach space.]
On A Generalized Köthe-Toeplitz Duals Sumardyono Sumardyono; Supama Supama; Soeparna Darmawijaya
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2012.4.1.2939

Abstract

In this paper, we generalized the notion of Kothe-Toeplitz duals of sequence space on introducing the concept sequence of sequences. Some properties of the generalized dual are obtained.
On A Generalized Köthe-Toeplitz Duals Sumardyono Sumardyono; Supama Supama; Soeparna Darmawijaya
Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2012.4.1.2939

Abstract

In this paper, we generalized the notion of Kothe-Toeplitz duals of sequence space on introducing the concept sequence of sequences. Some properties of the generalized dual are obtained.
Aplikasi Pemetaan terkait Semi-Inner Produk pada Ruang Bernorma Real Aulia Khifah Futhona; Supama
Quadratic: Journal of Innovation and Technology in Mathematics and Mathematics Education Vol. 1 No. 1 (2021): April 2021
Publisher : Pusat Studi Pengembangan Pembelajaran Matematika Sekolah UIN Sunan Kalijaga Yogyakarta Jl. Marsda Adisucipto, Yogyakarta 55281

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14421/quadratic.2021.011-02

Abstract

In this article, we give the properties of mappings associated with the upper semi-inner product , lower semi-inner product and Lumer semi-inner product which generate the norm on a real normed space. Furthermore, we establish applications to the Birkhoff orthogonality and characterization of best approximants.
Co-Authors A. Zulijanto Aulia Khifah Futhona Burhanudin Arif Nurnugroho Soeparna Darmawijaya Sumardyono Sumardyono