On dualities between function spaces

On dualities between function spaces

0.00 Avg rating0 Votes
Article ID: iaor19961786
Country: Germany
Volume: 43
Issue: 1
Start Page Number: 35
End Page Number: 44
Publication Date: Jan 1996
Journal: Mathematical Methods of Operations Research (Heidelberg)
Authors:
Abstract:

The dualities between equ1 and equ2, where X and W are two sets and equ3(i.e., the mappings equ4 satisfying equ5 for all equ6 and all index sets equ7), can be ‘represented’ with the aid of functions equ8. Here the paper shows that they can be also represented with the aid of functions equ9, where equ10. As an application, it shows that every duality equ11 is completely determined by a suitable duality equ12 between equ13 and equ14(i.e., a mapping equ15 satisfying equ16 for all equ17 and all index sets equ18), applied to the epigraphs of the functionsequ19.

Reviews

Required fields are marked *. Your email address will not be published.