A Riesz representation theorem for cone-valued functions
Roth, Walter
Abstr. Appl. Anal., Tome 4 (1999) no. 1, p. 209-229 / Harvested from Project Euclid
We consider Borel measures on a locally compact Hausdorff space whose values are linear functionals on a locally convex cone. We define integrals for cone-valued functions and verify that continuous linear functionals on certain spaces of continuous cone-valued functions endowed with an inductive limit topology may be represented by such integrals.
Publié le : 1999-05-14
Classification:  46A13,  46E40
@article{1049907223,
     author = {Roth, Walter},
     title = {A Riesz representation theorem for cone-valued functions},
     journal = {Abstr. Appl. Anal.},
     volume = {4},
     number = {1},
     year = {1999},
     pages = { 209-229},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1049907223}
}
Roth, Walter. A Riesz representation theorem for cone-valued functions. Abstr. Appl. Anal., Tome 4 (1999) no. 1, pp.  209-229. http://gdmltest.u-ga.fr/item/1049907223/