Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415993 | Linear Algebra and its Applications | 2016 | 18 Pages |
Abstract
We introduce the notions of coherent and precoherent elements in a Rickart *-ring, generalizing this concept from the ring of bounded operators on a Hilbert space. Some interesting properties of such elements are demonstrated, resembling those of bounded operators, e.g. the range additivity and the parallel summation. As an application, we solve some problems regarding the star partial order on Rickart *-rings.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Marko S. DjikiÄ, Dragan S. DjordjeviÄ,