Article ID Journal Published Year Pages File Type
6415993 Linear Algebra and its Applications 2016 18 Pages PDF
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
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