118537421
The modulus of continuity of an analytic function
116997880
A counterexample in harmonic analysis
35563801
INTEGRATION OVER HILBERT SPACE AND OUTER EXTENSIONS.
122924586
Simultaneous block triangularization and block diagonalization of sets of matrices
Abstract We consider the problem of simultaneously putting a set of square matrices into the same block upper triangular form with a similarity transformation, and obtain a result linking the size of the largest block to polynomial identities. This is used to yield a new proof of a theorem of Watters [20] which gives a necessary and sufficient condition for a set of matrices to be simultaneously, unitarily similar to block diagonal matrices with blocks of sizes one or two.