A Characterization of Generalized Monotone Normed Cones

作     者：S.ROMAGUERA E.A.SNCHEZ-PREZ O.VALERO 

作者机构：Escuela de CaminosDepartamento de Matemdtiea Aplicada Universidad Politdcnica de Valencia46071 ValenciaSpain Departamento de Ciencias Matématicas e InformáticaUniversidad de las Islas BalearesEdificio Anselm Turmeda07122 PalmaBalearesSpain 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2007年第23卷第6期

页      面：1067-1074页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：the Spanish Ministry of Science and Technology FEDER under Grant BFM2003-02302 

主　　题：quasi-norm monotone cones 

摘      要：Let C be a cone and consider a quasi-norm p defined on it. We study the structure of the couple （C, p） as a topological space in the case where the function p is also monotone. We characterize when the topology of a quasi-normed cone can be defined by means of a monotone norm. We also define and study the dual cone of a monotone normed cone and the monotone quotient of a general cone. We provide a decomposition theorem which allows us to write a cone as a direct sum of a monotone subcone that is isomorphic to the monotone quotient and other particular subcone.