A van der Corput-type lemma for power bounded operators
Sign Up to like & getrecommendations! Published in 2017 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-016-1701-2
Abstract: We prove a van der Corput-type lemma for power bounded Hilbert space operators. As a corollary we show that $$N^{-1}\sum _{n=1}^N T^{p(n)}$$N-1∑n=1NTp(n) converges in the strong operator topology for all power bounded Hilbert space operators… read more here.
Keywords: van der; der corput; corput type; power ... See more keywords
Doubly power-bounded operators on Lp, 2 ≠ p > 1
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.06.064
Abstract: Abstract We show the existence of a doubly power-bounded T on L p , 1 p ∞ , p ≠ 2 , such that T is spectral of scalar type (hence polynomially bounded), T is… read more here.
Keywords: bounded operators; power bounded; doubly power; operator ... See more keywords
Convex and expansive liftings close to two-isometries and power bounded operators
Sign Up to like & getrecommendations! Published in 2021 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2021.01.009
Abstract: Abstract In the context of Hilbert space operators, there is a strong relationship between convex and expansive operators and 2-isometries. In this paper, we investigate the bounded linear operators T on a Hilbert space H… read more here.
Keywords: bounded operators; power bounded; expansive liftings; convex expansive ... See more keywords