منابع مشابه
Duality Theorems and Theorems of the Alternative
It is shown, in a completely general setting, that a theorem of the alternative is logically equivalent to a duality theorem linking two constrained optimization problems. A standard technique for proving a duality theorem linking two constrained optimization problems is to apply an appropriate theorem of the alternative, sometimes called a transposition theorem (see, e.g., Mangasarian [2], Roc...
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We introduce a fairly general class of Banach function spaces X given by kfk X := kf k X , where f is deened on a totally {{nite non-atomic measure space (R;), f is the non-increasing rearrangement of f with respect to and X is certain rearrangement-invariant space over the interval (0; (R)). This class contains for example classical Lorentz spaces. We prove a general duality principle for thes...
متن کاملDuality theorems for simplicial complexes
This thesis deals with the homology and cohomology groups of simplicial complexes, and especially with the two duality theorems which willdemonstrate links between the two notions. For this we will need some results, and we will therefore prove the long exact sequence for the reduced relative homology group; and to link the homology and cohomolgy to our geometric notion of a simplicial complex ...
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ژورنال
عنوان ژورنال: Bulletin of the Faculty of Science, Ibaraki University. Series A, Mathematics
سال: 1969
ISSN: 1883-4345,0579-3068
DOI: 10.5036/bfsiu1968.2.15