REPRESENTASI OPERATOR PADA RUANG BARISAN TERBATAS l_5

Angger Pambudhi, 1217031075 (2017) REPRESENTASI OPERATOR PADA RUANG BARISAN TERBATAS l_5. FAKULTAS MATEMATIKA DAN ILMU PENGETAHUAN ALAM , UNIVERSITAS LAMPUNG.

[img]
Preview
Text
ABSTRAK.pdf

Download (199Kb) | Preview
[img] Text
SKRIPSI FULL.pdf
Restricted to Registered users only

Download (1815Kb)
[img]
Preview
Text
SKRIPSI TANPA BAB PEMBAHASAN.pdf

Download (1815Kb) | Preview

Abstrak

Suatu pemetaan pda ruang vector khususnya ruang bernorma disebut operator. Banyak kasus pada operator linear dari ruang barisan dapat diwakili oleh suatu matriks tak hingga. Sebagai contoh, suatu matriks A= l_5 → l_5 dengan A=[■(a_11&a_12&…@a_21&a_22&…@⋮&⋮&⋮)] dan l_5={x=(x_i )├|(∑_(i=1)^∞▒|x_i |^5 )^(1/5)<∞ ┤} merupakan barisan bilangan real. Selanjutnya, dikonstruksikan operator A dari ruang barisan l_5 ke ruang barisan l_5 dengan basis standar {e_k} dan ditunjukkan bawa koleksi semua operator membentuk ruang Banach. Kata Kunci : Operator, ruang barisan terbatas ABSTRACT The mapping of vector space especially on norm space is called operator. There are many cases in linear operator from sequence space into sequence space can be represented by an infinite matrices. For example, a matrices A∶l_5→l_5 where A=[■(a_11&a_12&…@a_21&a_22&…@⋮&⋮&⋮)] and l_5={x=(x_i )├|(∑_(i=1)^∞▒|x_i |^5 )^(1/5)<∞ ┤} is a sequence real numbers. Furthermore, it can be constructed an operator A from sequence space l_5 to sequence space l_5 by using a standard basis (e_k ) and it can be proven that the collection all the operators become Banach space. Key Words : Operator, finite sequence space

Tipe Karya Ilmiah: Skripsi
Subyek: Q Science (General)
Q Science (General) > QA Mathematics
Program Studi: Fakultas MIPA > Prodi Matematika
Depositing User: 7033901 . Digilib
Date Deposited: 26 Jan 2017 07:57
Last Modified: 26 Jan 2017 07:57
URI: http://digilib.unila.ac.id/id/eprint/25214

Actions (login required)

View Item View Item