Quaternionic essential numerical range of complex operators
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.
Authors
- Helena Soares (ORCID: https://orcid.org/0000-0002-6472-0061)
- Luís Carvalho (ORCID: https://orcid.org/0000-0002-0962-2880)
- Cristina Diogo (ORCID: https://orcid.org/0000-0002-9876-7626)
- Sérgio Mendes (ORCID: https://orcid.org/0000-0003-2950-5056)
Institutions
- Iscte – Instituto Universitário de Lisboa (PT)
- University of Lisbon (PT)
- University of Beira Interior (PT)
- Universidade Politécnica de Lisboa (PT)
- University of Évora (PT)
- Iscte – Instituto Universitário de Lisboa (PT)
Publication Details
- Journal
- Linear and Multilinear Algebra
- Published
- 2024-10-07
- DOI
- https://doi.org/10.1080/03081087.2024.2413653
- Primary Topic
- Algebraic and Geometric Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Centro de Matemática e Aplicações da Universidade da Beira Interior
- Centre for Individualised Medicine in Arterial Diseases