High order isometric liftings and dilations
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00541264" target="_blank" >RIV/67985840:_____/21:00541264 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.4064/sm200330-25-8" target="_blank" >http://dx.doi.org/10.4064/sm200330-25-8</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4064/sm200330-25-8" target="_blank" >10.4064/sm200330-25-8</a>
Alternative languages
Result language
angličtina
Original language name
High order isometric liftings and dilations
Original language description
We show that a Hilbert space bounded linear operator has an m-isometric lifting for some integer m≥1 if and only if the norms of its powers grow polynomially. In analogy with unitary dilations of contractions, we prove that such operators also have an invertible m-isometric dilation. We also study 2-isometric liftings of convex operators and 3-isometric liftings of Foguel–Hankel type operators.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GX20-31529X" target="_blank" >GX20-31529X: Abstract convergence schemes and their complexities</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Studia mathematica
ISSN
0039-3223
e-ISSN
1730-6337
Volume of the periodical
258
Issue of the periodical within the volume
1
Country of publishing house
PL - POLAND
Number of pages
15
Pages from-to
87-101
UT code for WoS article
000617766200005
EID of the result in the Scopus database
2-s2.0-85099883018