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arxiv: 1406.2522 · v2 · pith:HD2WK2WMnew · submitted 2014-06-10 · 🧮 math.OA

Schur Multipliers and Matrix Products

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keywords schurmatrixcasecertainconditionsdistributesfindfinite-dimensional
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We give necessary and sufficient conditions for a Schur map to be a homomorphism, with some generalizations to the infinite-dimensional case. In the finite-dimensional case, we find that a Schur multiplier distributes over matrix multiplication if and only if the Schur matrix has a certain simple form.

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