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Article: Bounded semigroups of matrices
| Title | Bounded semigroups of matrices |
|---|---|
| Authors | |
| Issue Date | 1992 |
| Citation | Linear Algebra and Its Applications, 1992, v. 166, n. C, p. 21-27 How to Cite? |
| Abstract | In this note are proved two conjectures of Daubechies and Lagarias. The first asserts that if Σ is a bounded set of matrices such that all left infinite products converge, then Σ generates a bounded semigroup. The second asserts the equality of two differently defined joint spectral radii for a bounded set of matrices. One definition involves the conventional spectral radius, and one involves the operator norm. © 1992. |
| Persistent Identifier | http://hdl.handle.net/10722/362961 |
| ISSN | 2023 Impact Factor: 1.0 2023 SCImago Journal Rankings: 0.837 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Berger, Marc A. | - |
| dc.contributor.author | Wang, Yang | - |
| dc.date.accessioned | 2025-10-10T07:43:44Z | - |
| dc.date.available | 2025-10-10T07:43:44Z | - |
| dc.date.issued | 1992 | - |
| dc.identifier.citation | Linear Algebra and Its Applications, 1992, v. 166, n. C, p. 21-27 | - |
| dc.identifier.issn | 0024-3795 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/362961 | - |
| dc.description.abstract | In this note are proved two conjectures of Daubechies and Lagarias. The first asserts that if Σ is a bounded set of matrices such that all left infinite products converge, then Σ generates a bounded semigroup. The second asserts the equality of two differently defined joint spectral radii for a bounded set of matrices. One definition involves the conventional spectral radius, and one involves the operator norm. © 1992. | - |
| dc.language | eng | - |
| dc.relation.ispartof | Linear Algebra and Its Applications | - |
| dc.title | Bounded semigroups of matrices | - |
| dc.type | Article | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1016/0024-3795(92)90267-E | - |
| dc.identifier.scopus | eid_2-s2.0-0002046992 | - |
| dc.identifier.volume | 166 | - |
| dc.identifier.issue | C | - |
| dc.identifier.spage | 21 | - |
| dc.identifier.epage | 27 | - |