Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4673028 | Indagationes Mathematicae | 2012 | 18 Pages |
Abstract
For VV a Nachbin family, on a zero-dimensional Hausdorff topological space XX, and EE a non-Archimedean Hausdorff locally convex space, it is shown that the dual spaces of the Nachbin spaces CVo(X)CVo(X) and CVo(X,E)CVo(X,E) are algebraically isomorphic to certain spaces of measures on a ring of subsets of XX. Also, the space of all continuous linear maps, from CVo(X,E)CVo(X,E) to another locally convex space FF, is algebraically isomorphic to a space of L(E,F)L(E,F)-valued measures.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
A.K. Katsaras, L.A. Khan, H.H. Alsulami,