TY  - JOUR
ID  - Mathieu2016
LB  - Mathieu2016
AU  - Mathieu, Martin
TI  - Elementary operators - still not elementary?
ST  - Elementary operators - still not elementary?
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2016
VL  - 36
IS  - 6
SP  - 787
EP  - 797
DO  - http://dx.doi.org/10.7494/OpMath.2016.36.6.787
UR  - http://dx.doi.org/10.7494/OpMath.2016.36.6.787
AB  - 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.
KW  - spectral isometries
KW  - elementary operators
KW  - Jordan isomorphisms
SN  - 1232-9274
ER  -