| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5773137 | Linear Algebra and its Applications | 2017 | 15 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Titus Hilberdink,