Opuscula Math. 36, no. 6 (2016), 787-797
http://dx.doi.org/10.7494/OpMath.2016.36.6.787

 
Opuscula Mathematica

Elementary operators - still not elementary?

Martin Mathieu

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.

Full text (pdf)

Opuscula Mathematica - cover

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

Download this article's citation as:
a .bib file (BibTeX),
a .ris file (RefMan),
a .enw file (EndNote)
or export to RefWorks.

In accordance with EU legislation we advise you this website uses cookies to allow us to see how the site is used. All data is anonymized.
All recent versions of popular browsers give users a level of control over cookies. Users can set their browsers to accept or reject all, or certain, cookies.