Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4599227 | Linear Algebra and its Applications | 2015 | 27 Pages |
Abstract
We consider linear operators defined on a subspace of a complex Banach space into its topological antidual acting positively in a natural sense. The main theorem is a constructive characterization of the bounded positive extendibility of these linear mappings. In this frame we characterize operators with a compact or a closed range extension. As a main application of our general extension theorem, we present some necessary and sufficient conditions for a positive functional defined on a left ideal of a Banach ⁎-algebra to admit a representable positive extension.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Zoltán Sebestyén, Zsolt Szűcs, Zsigmond Tarcsay,