@Article{Mathieu2016, author = "Mathieu, Martin", title = "Elementary operators - still not elementary?", journal = "Opuscula Math.", year = "2016", volume = "36", number = "6", pages = "787--797", doi = "http://dx.doi.org/10.7494/OpMath.2016.36.6.787", url = "http://dx.doi.org/10.7494/OpMath.2016.36.6.787", 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.", keywords = "spectral isometries, elementary operators, Jordan isomorphisms", issn = "1232-9274" }