MathDB
Miklos Schweitzer 1967_7

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October 6, 2008
linear algebramatrixprobabilitygeometry3D geometryspherelimit

Problem Statement

Let U U be an n×n n \times n orthogonal matrix. Prove that for any n×n n \times n matrix A A, the matrices Am=1m+1∑j=0mU−jAUj A_m=\frac{1}{m+1} \sum_{j=0}^m U^{-j}AU^j converge entrywise as m→∞. m \rightarrow \infty. L. Kovacs
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