Muhammad Ibrahim Ali, 1117031036 (2015) REPRESENTASI OPERATOR LINEAR PADA RUANG BARISAN TERBATAS l2. Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Lampung.
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Abstract
Suatu pemetaan pada ruang vektor khususnya ruang bernorma disebut operator. Banyak kasus pada operator linear dari ruang barisan ke ruang barisan dapat diwakili oleh suatu matriks tak hingga. Sebagai contoh, suatu matriks dengan [ ] dan { ( )|(Σ| | ) } merupakan barisan bilangan real. Selanjutnya, dikonstruksikan operator A dari ruang barisan ke ruang barisan dengan basis standar * + dan ditunjukkan bahwa koleksi semua operator membentuk ruang Banach. Kata Kunci : Operator, ruang barisan terbatas. abstract REPRESENTATION OF LINEAR OPERATOR IN FINITE SEQUENCE SPACE 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 where [ ] and { ( )|(Σ| | ) } is a sequence real numbers. Furthermore, it can be constructed an operator A from sequence space to sequence space by using a standard basis * + and it can be proven that the collection all the operators become Banach space. Key Words : Operator, finite sequence space.
| Item Type: | Other |
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| Subjects: | Q Science (General) > QA Mathematics |
| Divisions: | Fakultas MIPA > Prodi Matematika |
| Depositing User: | 3376476 . Digilib |
| Date Deposited: | 28 Dec 2015 04:57 |
| Last Modified: | 28 Dec 2015 04:57 |
| URI: | http://digilib.unila.ac.id/id/eprint/16266 |
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