Forthcoming Mathematics Seminar (next week)

[math]

(Please note unusual time and venue)

M A T H E M A T I C S   S E M I N A R S   2010


Tuesday, 14 December, at 10:30 hrs.


Dr. Augustinus J. Van Zyl
(University of Pretoria, South Africa)


"Complexification and tensor products of Banach spaces: an isometric 
result for the projective tensor norm"

Abstract:

Finding the "complexification" of a real vector space is trivial; 
essentially the same as obtaining the complex numbers from the real 
numbers. However, when complexifying a real Banach space, there are a 
range of choices, for a norm that fits in naturally with the norm of the 
real Banach space. In this talk it is proved that one of these choices 
has a property that one expects, namely that the complexification of the 
projective tensor product of any two real Banach spaces is isometrically 
isomorphic to the projective tensor product of their complexifications.

VENUE: Euler Lecture Hall
(ICTP Leonardo da Vinci Building, terrace level)