BANACH LATTICE YANG MEMUAT cO
| Main Author: | Farikhin, Farikhin |
|---|---|
| Format: | Article PeerReviewed application/pdf |
| Terbitan: |
Jurusan Matematika FMIPA
, 2007
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| Subjects: | |
| Online Access: |
http://eprints.undip.ac.id/1856/1/4_farikhin.pdf http://eprints.undip.ac.id/1856/ |
Daftar Isi:
- Let Banach lattices E and F. Lattice homomorphism T : E F is called lattice embedding if there exists positive numbers m and n such that for all xE implies m.|| || ||T( )|| n.|| ||. In others word, Banach lattice E is said to be lattice embeddable in F if there exist closed subspace F0 F such that F0 and E are lattice isomorphic. As well known that dual space of E is Levi-, i.e. sup{ / n = 1, 2,...} in E* exist for every increasing bounded (in the norm) sequences { / n = 1, 2,...} in E*. If sequences space c0 is lattice embeddable in E* then sequences space l is lattice embeddable in E*, within E* is dual space of E. This theorem is proven by Groenewegen in [4]. For Levi- Banach lattice E, we proof that sequences space c0 is lattice embeddable in E if only if sequences space l is lattice embeddable in E.