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Matrices with multiplicative entries are tensor products

Hilberdink, T. (2017) Matrices with multiplicative entries are tensor products. Linear Algebra and its Applications, 532. pp. 179-197. ISSN 0024-3795

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To link to this item DOI: 10.1016/j.laa.2017.06.037

Abstract/Summary

We study operators which have (infinite) matrix representation whose entries are multiplicative functions of two variables. We show that such operators are infinite tensor products over the primes. Applications to finding the eigenvalues explicitly of arithmetical matrices are given; also boundedness and norms of Multiplicative Toeplitz and Hankel operators are discussed.

Item Type:Article
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:72258
Publisher:Elsevier

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