FUNGSIONAL LINEAR-2 DALAM RUANG NORM-2

  • Harmanus Batkunde Jurusan Matematika FMIPA Universitas Pattimura
  • Meilin I. Tilukay Jurusan Matematika FMIPA Universitas Pattimura
  • Francis Y. Rumlawang Jurusan Matematika FMIPA Universitas Pattimura
DOI: https://doi.org/10.30598/barekengvol10iss1pp1-7
Keywords: Fungsional linear-2 terbatas, norm-2, ruang dual, ruang norm-2.

Abstract

Ruang norm-2 merupakan perluasan dari ruang norm yang telah kita kenal. Ruang norm-2 dan perumumannya ruang norm-n (ð‘›â‰¥2), pertama kali diperkenalkan oleh Gähler pada tahun 1960-an, [3, 4, 5, 6]. Kemudian Misiak di tahun 1989 memperkenalkan ruang hasil kali dalam-n (ð‘›â‰¥2) [16]. Setelah itu, banyak peneliti yang mengkaji sifat-sifat ataupun aspek-aspek dalam ruang norm-2 maupun ruang norm-n. Hal ini dapat dilihat pada beberapa penelitian dalam  [1,2,7,8,9,10,11,12,13,14,15,18,19]. Dalam penelitian ini aspek yang akan ditinjau adalah fungsional linear-2 terbatas pada ruang norm-2. Untuk meninjau beberapa sifatnya, sebelumnya akan diperkenalkan fungsional linear-2 di ruang norm-2 dengan beberapa tipe keterbatasn. Berdasarkan tipe keterbatasan ini akan dibentuk ruang-ruang dual. Ruang-ruang dual ini memuat semua fungsional linear-2 masing-masing berdasarkan tipe keterbatasannya. Selanjutnya akan ditunjukkan bahwa ruang-ruang dual ini ekuivalen.

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References

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Published
2016-03-01
How to Cite
[1]
H. Batkunde, M. Tilukay, and F. Rumlawang, “FUNGSIONAL LINEAR-2 DALAM RUANG NORM-2”, BAREKENG: J. Math. & App., vol. 10, no. 1, pp. 1-7, Mar. 2016.
Issue
Vol 10 No 1 (2016): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Section
Articles

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