2) Bade-property; survey and comparison with λ-property, Russo-Dye Theorem and Extremally richness
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 interesting results of Bade-property in the spaces of convergent sequences established by Aizpuru. Then, we investigate Bade-property in comparison with some other geometric properties, such as λ- property due to Aron and Lohman, Russo-Dye Theorem and extremally richness in C*-algebras, JB*-algebrs/triples and JBW*-triples.
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…