Preserver Problems on Jordan Banach algebras and applications

Abstract: In this talk we will discuss about many topics related with preserver problems in Jordan Banach algebras, in particular, we will talk about the Lie-Trotter formula for Jordan Banach algebras and its application in the study of spectral-valued multiplicative functionals. Moreover we will present some results related with maps preserving what is called strong commutativity or operator commutativity. Finally, we will discuss about the Mackey-Gleason problem for Jordan Banach algebras and if time permits, we will show how this result can be applied in the study of piecewise Jordan homomorphism.

quantum algebrarings and algebras

Audience: researchers in the topic

European Non-Associative Algebra Seminar