Advanced search

Matrices with multiplicative entries are tensor products

Download
[thumbnail of multiplicativematrices.pdf]
Preview
Text - Accepted Version
· Available under License Creative Commons Attribution Non-commercial No Derivatives.
· Please see our End User Agreement before downloading. | Preview
Available under license: Creative Commons Attribution Non-commercial No Derivatives
Advice

Please see our End User Agreement.

It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing.

Tools
Add to AnyAdd to TwitterAdd to FacebookAdd to LinkedinAdd to PinterestAdd to Email
Lists

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

Altmetric Badge

Item Type Article
URI https://reading-clone.eprints-hosting.org/id/eprint/72258
Identification Number/DOI 10.1016/j.laa.2017.06.037
Refereed Yes
Divisions Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher Elsevier
Download/View statistics View download statistics for this item
Download Statistics

Downloads

Downloads per month over past year

Deposit Details

University Staff: Request a correction | Centaur Editors: Update this record

Search Google Scholar