Opuscula Mathematica
Opuscula Math. 36, no. 6 (), 787-797
http://dx.doi.org/10.7494/OpMath.2016.36.6.787
Opuscula Mathematica

Elementary operators - still not elementary?


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.
Mathematics Subject Classification: 47B47, 46H99, 47A10, 47A65, 47B48.
Cite this article as:
Martin Mathieu, Elementary operators - still not elementary?, Opuscula Math. 36, no. 6 (2016), 787-797, http://dx.doi.org/10.7494/OpMath.2016.36.6.787
 
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ISSN 1232−9274, e-ISSN 2300−6919, DOI http://dx.doi.org/10.7494/OpMath
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