UIUC Dept. of Mathematics Seminar Calendar

    November 2009          December 2009           January 2010    
 Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa
  1  2  3  4  5  6  7          1  2  3  4  5                   1  2
  8  9 10 11 12 13 14    6  7  8  9 10 11 12    3  4  5  6  7  8  9
 15 16 17 18 19 20 21   13 14 15 16 17 18 19   10 11 12 13 14 15 16
 22 23 24 25 26 27 28   20 21 22 23 24 25 26   17 18 19 20 21 22 23
 29 30                  27 28 29 30 31         24 25 26 27 28 29 30
                                               31

Thursday, December 3, 2009

Mathematical and theoretical physics
11:30 am in 464 Loomis, Thursday, December 3, 2009

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Submitted by mando.

Gr. Georgios Mchaloggiogakis (Purdue University Physics)
TBA

Analysis Seminar
2:00 pm in 243 Altgeld Hall, Thursday, December 3, 2009

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Submitted by aimo.

Prof. ChiKeung Ng (Chern Institute of Mathematics, Nankai University, Tianjin, China)
Linear orthogonality preservers of Hilbert C∗-modules
Abstract: Let A be a C*-algebra, and let E and F be Hilbert A-modules with E being full. A linear map T: E -> F is said to be local if T(x)a = 0 whenever xa=0 for x in E and a in A, and T is said to be orthogonality preserving if = 0 whenever = 0 (x,y in E). In this talk, we consider the following question: If T is an orthogonality preserving local linear map, does there exist a central positive multiplier u in M(A) such that < T(x), T(y) > = u < x, y > (x,y in E) ? We show that this question has a positive answer in the following 5 situations: 1. A is a commutative C*-algebra; 2. A is a W*-algebra; 3. A is a standard C*-algebras; 4. A is a unital properly infinite C*-algebra; 5. T is an A-module map (with no assumption on A).