Beberapa Kelas Ruang Barisan Selisih Cesaro pada Ruang Bernorma-n

MIZAN AHMAD, Prof. Supama M.Si.

2020 | Tesis | MAGISTER MATEMATIKA

Dalam tesis ini dibahas beberapa kelas barisan selisih Cesaro pada ruang bernorma-n. Diselidiki kelengkapan masing-masing kelas dan hubungan antar kelas. Dipelajari fungsional linear-n pada ruang bernorma-n dan dual dari suatu ruang bernorma-n. Pada akhir tesis ini, dikonstruksikan dual Kothe-Toeplitz dari suatu kelas barisan selisih Cesaro pada ruang bernorma-n.

In this thesis, we discuss about some classes of Cesaro difference sequence spaces in n-normed spaces. We observe their completeness and the relationships between them. We study the continuous dual of an n-normed space. We also study the functional linear-n in n-normed space and dual of an n normed space. At the end of this thesis, we construct the Kothe-Toeplitz dual of a class of Cesaro difference sequence space in n-normed space.

Kata Kunci : norma-n, barisan selisih cesaro, dual Kothe-Toeplitz