1) A projection–less approach to Rickart Jordan structures
The main goal of this paper is to introduce and explore
an appropriate notion of weakly Rickart JB*-triples. We introduce weakly and weakly order Rickart JB*-triples, and we show that a C*-algebra A is a weakly (order) Rickart JB∗-triple precisely when it is a weakly Rickart C*-algebra. We also prove that the Peirce-2 subspace associated with any tripotent in a weakly order Rickart JB∗-triple is a Rickart JB*-algebra in the sense of Ayupov and Arzikulov. By extending a classical property of Rickart C-algebras, we prove that every weakly order Rickart JB*-triple is generated by its tripotents.
In this note, we study one of the main outcomes of the Russo-Dye Theorem of JB*-algebra: a linear operator that preserves Brown-Pedersen-quasi invertible elements between two JB*-algebras is…
The main goal of this paper is to introduce and explore
In this article, we survey a geometric property, called Bade-property, originally introduced by William Bade. First, we review Bade’s work in normed linear spaces. Next, we illustrate various…