Time regularity and functions of the Volterra operator

Zoltán Léka. "Time regularity and functions of the Volterra operator." Studia Mathematica 220.1 (2014): 1-14. <http://eudml.org/doc/285774>.

@article{ZoltánLéka2014,
abstract = {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 $||T^\{n + 1\} - Tⁿ|| ≍ (n ≥ 1)$. This answers Zemánek’s question on the time regularity property.},
author = {Zoltán Léka},
journal = {Studia Mathematica},
language = {eng},
number = {1},
pages = {1-14},
title = {Time regularity and functions of the Volterra operator},
url = {http://eudml.org/doc/285774},
volume = {220},
year = {2014},
}

TY - JOUR
AU - Zoltán Léka
TI - Time regularity and functions of the Volterra operator
JO - Studia Mathematica
PY - 2014
VL - 220
IS - 1
SP - 1
EP - 14
AB - 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 $||T^{n + 1} - Tⁿ|| ≍ (n ≥ 1)$. This answers Zemánek’s question on the time regularity property.
LA - eng
UR - http://eudml.org/doc/285774
ER -