Farikhin, Farikhin (2007) *BANACH LATTICE YANG MEMUAT cO.* Jurnal Matematika, 10 (2). pp. 56-59. ISSN 1410-8518

| PDF 71Kb |

## Abstract

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.

Item Type: | Article |
---|---|

Uncontrolled Keywords: | Levi- Banach lattice and lattice embeddable |

Subjects: | Q Science > QA Mathematics |

Divisions: | Faculty of Science and Mathematics > Department of Mathematics |

ID Code: | 1856 |

Deposited By: | INVALID USER |

Deposited On: | 30 Nov 2009 10:21 |

Last Modified: | 08 Dec 2009 09:10 |

Repository Staff Only: item control page