Our aim is to prove that for any fixed 1/2 < α < 1 there exists a Hilbert space contraction T such that σ(T) = 1 and . This answers Zemánek’s question on the time regularity property.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm220-1-1,
author = {Zolt\'an L\'eka},
title = {Time regularity and functions of the Volterra operator},
journal = {Studia Mathematica},
volume = {223},
year = {2014},
pages = {1-14},
zbl = {1285.47007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm220-1-1}
}
Zoltán Léka. Time regularity and functions of the Volterra operator. Studia Mathematica, Tome 223 (2014) pp. 1-14. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm220-1-1/