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Essentially hyponormal multiplication operators on the Dirichlet space

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0 Published in 2017 at "Archiv der Mathematik"

DOI: 10.1007/s00013-016-1006-z

Abstract: On the Dirichlet space D, we show that there is a multiplier f of D such that $$M_f$$Mf is not essentially hyponormal, i.e. $$\pi (M_f)$$π(Mf) is not hyponormal in the Calkin algebra $$B(D)/\mathcal {K}(D)$$B(D)/K(D). read more here.

Keywords: dirichlet space; operators dirichlet; essentially hyponormal; multiplication operators ... See more keywords