Rotations of Hypercyclic and Supercyclic Operators

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F04%3A00021407" target="_blank" >RIV/67985840:_____/04:00021407 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Rotations of Hypercyclic and Supercyclic Operators

Original language description

Let T ? B(X)be a hypercyclic operator and .lambda. a complex number of modulus 1. Then .lambdaT is hypercyclic and has the same set of hypercyclic vectors as T. A version of this results gives for a wide class of supercyclic operators that x .. X is supercyclic for T if and only if the set {tTnx : t > 0,n = 0,1, ...} is dense in X. This gives answers to several questions studied in the literature.

Czech name

Rotace hypercyklických a supercyklických operátorů

Czech description

Nechtˇ T je hypercyklický operátor a lambda komplexní číslo,/lambda/ = 1. Pak lambda T je též hypercyklický. Podobný výsledek platí i pro supercyklické operátory.

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GA201%2F03%2F0041" target="_blank" >GA201/03/0041: Methods and function theory of Banach algebras in operator theory II.</a><br>

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2004

Confidentiality

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

Name of the periodical

Integral Equations and Operator Theory

ISSN

0378-620X

e-ISSN

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Volume of the periodical

50

Issue of the periodical within the volume

3

Country of publishing house

CH - SWITZERLAND

Number of pages

7

Pages from-to

385-391

UT code for WoS article

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EID of the result in the Scopus database

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