On some properties of linear spaces and linear operators in the case of quaternionic scalars

Seminar
Speaker
Dr. M. ELENA LUNA-ELIZARRARAS ́ Departamento de Matem ́aticas E.S.F.M. del I.P.N. 07338 M ́exico D.F.,
Date
29/12/2014 - 15:00 - 14:00Add to Calendar 2014-12-29 14:00:00 2014-12-29 15:00:00 On some properties of linear spaces and linear operators in the case of quaternionic scalars In recent years the study of quaternionic linear spaces has been widely developed by mathematicians and has been widely used by physicists. At the same time it turns out that some basic and fundamental properties of those spaces are not treated properly and this requires to develop the corresponding theory. In this talk we will analyze certain peculiarities of the situation via the notion of quaternionic extension of real and complex linear spaces as well as using the notion of internal quaternionization. We will see, for example, how the norms of some operators behave when they are “quaternionically extended”. 2nd floor Colloquium Room, Building 216 אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
2nd floor Colloquium Room, Building 216
Abstract

In recent years the study of quaternionic linear spaces has been widely developed
by mathematicians and has been widely used by physicists. At the same
time it turns out that some basic and fundamental properties of those spaces
are not treated properly and this requires to develop the corresponding theory.
In this talk we will analyze certain peculiarities of the situation via the notion
of quaternionic extension of real and complex linear spaces as well as using the
notion of internal quaternionization. We will see, for example, how the norms of
some operators behave when they are “quaternionically extended”.

Last Updated Date : 22/12/2014