Abstract
For B a fixed matrix, we study the problem of using a criterion of Haagerup to find the norm of the map A ↦ A · B , where · is the Hadamard or entrywise product of matrices. The techniques developed are applied to triangular truncation, and it is proved that if K n is the norm of triangular truncation of n × n matrices, then K n log n →π −1 .
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