A van der Corput-type lemma for power bounded operators

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00470373" target="_blank" >RIV/67985840:_____/17:00470373 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/s00209-016-1701-2" target="_blank" >http://dx.doi.org/10.1007/s00209-016-1701-2</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00209-016-1701-2" target="_blank" >10.1007/s00209-016-1701-2</a>

Result language

angličtina

Original language name

A van der Corput-type lemma for power bounded operators

Original language description

We prove a van der Corput-type lemma for power bounded Hilbert space operators. As a corollary we show that ... converges in the strong operator topology for all power bounded Hilbert space operators T and all polynomials p satisfying .... This generalizes known results for Hilbert space contractions. Similar results are true also for bounded strongly continuous semigroups of operators.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

<a href="/en/project/GA14-07880S" target="_blank" >GA14-07880S: Methods of function theory and Banach algebras in operator theory V.</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Mathematische Zeitschrift

ISSN

0025-5874

e-ISSN

—

Volume of the periodical

285

Issue of the periodical within the volume

1

Country of publishing house

DE - GERMANY

Number of pages

16

Pages from-to

143-158

UT code for WoS article

000392318200005

EID of the result in the Scopus database

2-s2.0-85009990580