In this article we introduce a new class of contraction maps, called A-contractions, which includes the contractions studied by R. Bianchini, M. S. Khan, S. Reich and T. Kannen. It is shown that theâ€¦ (More)

In 1976, Kaplansky introduced the class JBâˆ—-algebras which includes all Câˆ—-algebras as a proper subclass. The notion of topological stable rank 1 for Câˆ—-algebras was originally introduced by M. A.â€¦ (More)

We continue our recent efforts to exploit the notion of a unitary isotope to study convex combinations of unitaries in an arbitrary JBâˆ—-algebra. Exact analogues of Câˆ—-algebraic results, due to R. V.â€¦ (More)

By investigating the extent to which variation in the coefficients of a convex combination of unitaries in a unital JB-algebra permits that combination to be expressed as convex combination of fewerâ€¦ (More)

We introduced a general class of contraction maps on a metric space, called Acontractions (that includes the contractions originally studied by R. Kannan, M. S. Khan at el, R. Bianchini, and S.â€¦ (More)

We give a new and clever proof of the Russoâ€“Dye theorem for JBâˆ—-algebras, which depends on certain recent tools due to the present author. The proof given here is quite different from the known proofâ€¦ (More)

Motivated by the work of Gert K. Pedersen on a geometric function, which is defined on the unit ball of a Câˆ—-algebra and called the Î»u-function, the present author recently initiated a study of theâ€¦ (More)