Please use this identifier to cite or link to this item:
http://hdl.handle.net/10071/32470| Author(s): | Carvalho, L. Diogo, C. Mendes, S. Soares, H. |
| Date: | 2025 |
| Title: | Quaternionic essential numerical range of complex operators |
| Journal title: | Linear and Multilinear Algebra |
| Volume: | 73 |
| Number: | 7 |
| Pages: | 1332 - 1345 |
| Reference: | Carvalho, L., Diogo, C., Mendes, S., & Soares, H. (2025). Quaternionic essential numerical range of complex operators. Linear and Multilinear Algebra, 73(7), 1332-1345. https://doi.org/10.1080/03081087.2024.2413653 |
| ISSN: | 0308-1087 |
| DOI (Digital Object Identifier): | 10.1080/03081087.2024.2413653 |
| Keywords: | Quaternions Essential numerical range Essential S-spectrum |
| Abstract: | We study the essential numerical range of complex operators on a quaternionic Hilbert space and its relation with the essential S-spectrum. We give a new characterization of the essential numerical range relating it to the complex essential numerical range. Moreover, we show that the quaternionic essential numerical range of a normal operator is the convex hull of the essential S-spectrum. |
| Peerreviewed: | yes |
| Access type: | Open Access |
| Appears in Collections: | BRU-RI - Artigos em revistas científicas internacionais com arbitragem científica DM-RI - Artigos em revistas científicas internacionais com arbitragem científica |
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| article_106009.pdf | 401,51 kB | Adobe PDF | View/Open |
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