BASIS SIMETRIK DI RUANG BARISAN ORLICZ

ANDINA IVANA TRIANDANI, Dr. Supama, M.Si.

2012 | Tesis | S2 Matematika

Dalam tesis ini dibicarakan mengenai basis simetrik di ruang barisan Orlicz. Pembahasannya meliputi sifat-sifat fungsi Orlicz, sifat-sifat ruang barisan Orlicz, ruang barisan Orlicz yang separabel, sifat-sifat basis tanpa syarat di ruang Banach, sifat-sifat basis simetrik di ruang Banach, hubungan antara basis tanpa syarat dengan basis simetrik di ruang Banach, syarat yang mempengaruhi ketunggalan dari basis simetrik di ruang barisan Orlicz dan ruang barisan Orlicz yang mempunyai paling sedikit dua basis simetrik non ekuivalen.

On this thesis we discuss about symmetric bases on Orlicz sequence spaces. The discussion covers some properties of Orlicz function, some properties on Orlicz sequence spaces, Orlicz sequence spaces that separable, some properties of unconditional bases on Banach spaces, some properties of symmetric bases on Banach spaces, relationship between unconditional bases and symmetric bases on Banach spaces, condition that impact uniqueness of symmetric bases on Orlicz sequence spaces and Orlicz sequence spaces that have two non equivalent symmetric bases.

Kata Kunci : Basis tanpa syarat, Basis simetrik, Ruang barisan Orlicz