Polynomials in the Volterra and Ritt operators
Dashdondog Tsedenbayar ; Jaroslav Zemánek
Banach Center Publications, Tome 68 (2005), p. 385-390 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

We continue the paper [Ts] on the boundedness of polynomials in the Volterra operator. This provides new ways of constructing power-bounded operators. It seems interesting to point out that a similar procedure applies to the operators satisfying the Ritt resolvent condition: compare Theorem 5 and Theorem 9 below.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:282339 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc67-0-31,
     author = {Dashdondog Tsedenbayar and Jaroslav Zem\'anek},
     title = {Polynomials in the Volterra and Ritt operators},
     journal = {Banach Center Publications},
     volume = {68},
     year = {2005},
     pages = {385-390},
     zbl = {1091.47007},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc67-0-31}
}

Dashdondog Tsedenbayar; Jaroslav Zemánek. Polynomials in the Volterra and Ritt operators. Banach Center Publications, Tome 68 (2005) pp. 385-390. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc67-0-31/