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Department of Mathematics Analysis Seminar
Start Date: 10/12/2012Start Time: 12:00 PM
End Date: 10/12/2012End Time: 1:00 PM

Event Description
Speaker: Gulnara Abduvalieva
Topic: Fixed-point theorems for noncommutative functions
Abstract: We establish a fixed point theorem for mappings of square matrices of all sizes which respect the matrix size and direct sums of matrices. The conclusions are stronger if such a mapping also respects matrix similarities, i.e., is a noncommutative function. As a special case, we prove the corresponding contractive mapping theorem which can be viewed as a generalization of the classical Banach Fixed Point Theorem.
Contact Information:
Name: Anatolli Grinshpan
Phone: 215-895-2668
Email: tolya@math.drexel.edu
Korman Center
Room 245
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