Triangular truncation and finding the norm of a Hadamard multiplier

C Cowen, Sivaram Krishnan Narayan, James R Angelos

Research output: Contribution to journalArticlepeer-review

Abstract

For B a fixed matrix, we study the problem of using a criterion of Haagerup to find the norm of the map A {mapping} 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 Kn is the norm of triangular truncation of n×n matrices, then Kn logn→π-1.

Original languageEnglish
Pages (from-to)117-135
JournalLinear Algebra and Its Applications
Issue number170
StatePublished - 1992

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