Functional Analysis Seminar

Tue, 26/01/2010
17:00
Gordon Blower (Lancaster) Functional Analysis Seminar Add to calendar L3
Tue, 09/02/2010
17:00
Jaroslav Zemanek (Polish Academy of Sciences) Functional Analysis Seminar Add to calendar L3
Tue, 16/02/2010
17:00
Charles Batty (Oxford) Functional Analysis Seminar Add to calendar L3
Tue, 23/02/2010
17:00
John McCarthy (Washington Univ St Louis and Trinity College Dublin) Functional Analysis Seminar Add to calendar L3
In 1934, K. Loewner characterized functions that preserve matrix inequalities, i.e. those f with the property that whenever A and B are self-adjoint matrices of the same dimension, with $ A \leq B $, then $ f(A) \leq f(B) $. In this talk, I shall discuss how to characterize monotone matrix functions of several variables, namely functions f with the property that if $ A = (A_1, \dots , A_n)  $ is an n-tuple of commuting self-adjoint matrices, and $ B = (B_1, \dots, B_n) $ is another, with each $ A_i  \leq B_i $, then $ f(A)  \leq f(B) $.
Tue, 09/03/2010
17:00
Junaid Mubeen (Oxford) Functional Analysis Seminar Add to calendar L3
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