LAUSR.org creates dashboard-style pages of related content for over 1.5 million academic articles. Sign Up to like articles & get recommendations!

Essentially hyponormal multiplication operators on the Dirichlet space

Photo from archive.org

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… Click to show full 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).

Keywords: dirichlet space; operators dirichlet; essentially hyponormal; multiplication operators; hyponormal multiplication

Journal Title: Archiv der Mathematik
Year Published: 2017

Link to full text (if available)


Share on Social Media:                               Sign Up to like & get
recommendations!

Related content

More Information              News              Social Media              Video              Recommended



                Click one of the above tabs to view related content.