Operator Linear-2 Terbatas pada Ruang Bernorma-2 Non-Archimedean
Main Authors: | Nurnugroho, Burhanudin Arif, Supama, Supama, Zulijanto, A. |
---|---|
Format: | Article info application/pdf eJournal |
Bahasa: | eng |
Terbitan: |
Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta
, 2019
|
Subjects: | |
Online Access: |
http://fourier.or.id/index.php/FOURIER/article/view/98 http://fourier.or.id/index.php/FOURIER/article/view/98/87 |
Daftar Isi:
- 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.]