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Abstract
Properties of elementary operators, that is, finite sums of two-sided multiplications on a Banach algebra, have been studied under a vast variety of aspects by numerous authors. In this paper we review recent advances in a new direction that seems not to have been explored before: the question when an elementary operator is spectrally bounded or spectrally isometric. As with other investigations, a number of subtleties occur which show that elementary operators are still not elementary to handle.
| Original language | English |
|---|---|
| Pages (from-to) | 787-797 |
| Number of pages | 11 |
| Journal | Opuscula Mathematica |
| Volume | 36 |
| Issue number | 6 |
| Early online date | 30 Oct 2016 |
| DOIs | |
| Publication status | Early online date - 30 Oct 2016 |
Bibliographical note
Proceedings of the conference "Spectral Theory and Applications", Krakow, May 2015.Keywords
- Spectral isometries, elementary operators, Jordan isomorphisms.
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Dive into the research topics of 'Elementary operators-still not elementary?'. Together they form a unique fingerprint.Activities
- 1 Invited talk
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Elementary Operators—Still Not Elementary?
Mathieu, M. (Invited speaker)
10 Jul 2018Activity: Talk or presentation types › Invited talk