1) "The λ-function in JB*-triples"
We discuss the λ-function in the general setting of JB*-triples. Several results
connecting the λ-function with the distance of a vector to the Brown–Pedersen’s
quasi-invertible elements and extreme convex decompositions have been obtained for
JB*-triples; these include JB*-triple analogues of some related C*-algebra results
due to M. Rørdam, L. Brown and G. Pedersen.
We establish new estimates to compute the λ-function of Aron and Lohman on the unit ball of a
JB*-triple. It is established that for every Brown–Pedersen quasi-invertible element a in a JB*-…
We introduce and study the class of extremally rich JB∗-triples. We establish new results to determine the distance from an element a in an extremally rich JB∗-triple E to the set ∂e(E1) of all…
The aim of this note is to study Cebyšëv JB*-subtriples of general JB*-triples. It is established that if F is a non-zero Cebyšëv JB*-subtriple of a JB*-triple E, then exactly one of the following…