Perturbation of m-isometries by nilpotent operators
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F14%3A00436815" target="_blank" >RIV/67985840:_____/14:00436815 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1155/2014/745479" target="_blank" >http://dx.doi.org/10.1155/2014/745479</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1155/2014/745479" target="_blank" >10.1155/2014/745479</a>
Alternative languages
Result language
angličtina
Original language name
Perturbation of m-isometries by nilpotent operators
Original language description
We prove that if T is an m-isometry on a Hilbert space and Q an n-nilpotent operator commuting with T, then T+Q is a (2n+m-2)-isometry. Moreover, we show that a similar result for (m, q)-isometries on Banach spaces is not true.
Czech name
—
Czech description
—
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—
Result continuities
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
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Abstract and Applied Analysis
ISSN
1085-3375
e-ISSN
—
Volume of the periodical
2014
Issue of the periodical within the volume
September
Country of publishing house
US - UNITED STATES
Number of pages
6
Pages from-to
745479
UT code for WoS article
000343548300001
EID of the result in the Scopus database
—