Konjugierte operatoren und subdifferentiale
作者:
Karl-Heinz Elster,
Reinhard Nehse,
期刊:
Mathematische Operationsforschung und Statistik
(Taylor Available online 1975)
卷期:
Volume 6,
issue 4
页码: 641-657
ISSN:0047-6277
年代: 1975
DOI:10.1080/02331887508801242
出版商: Akademie-Verlag
数据来源: Taylor
摘要:
In this paper we give separation theorems for convex sets of a product space. Separation is carried out by linear operators. With these theorems we prove several assertions on conjugate operators and subdifferentials of operators (which map a vector space into an order complete vector lattice), where we use the definition of conjugate operators as done by Zowe. Simultaneously we generalize some of his results to such operators. Moreover we prove that an order complete vector lattice is a vector lattice with certain separation properties.
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