Operator Linear-2 Terbatas pada Ruang Bernorma-2 Non-Archimedean

  • Burhanudin Arif Nurnugroho Universitas Ahmad Dahlan
  • Supama Supama Universitas Gadjah Mada
  • A. Zulijanto Universitas Gadjah Mada
Keywords: norma, ruang operator, terbatas, linear-2, bernorma-2 non-Archimedean

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.]

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Author Biographies

Burhanudin Arif Nurnugroho, Universitas Ahmad Dahlan

Program Studi Pendididkan Matematika, Fakultas Keguruan dan Ilmu Pendidikan

Supama Supama, Universitas Gadjah Mada

Jurusan Matematika, Fakultas Matematika dan Ilmu Pengatahuan Alam

A. Zulijanto, Universitas Gadjah Mada

Jurusan Matematika, Fakultas Matematika dan Ilmu Pengatahuan Alam

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Published
2019-10-31
Section
Articles