Commutative dilation theory
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00447302" target="_blank" >RIV/67985840:_____/15:00447302 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-0348-0667-1_58" target="_blank" >http://dx.doi.org/10.1007/978-3-0348-0667-1_58</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-0348-0667-1_58" target="_blank" >10.1007/978-3-0348-0667-1_58</a>
Alternative languages
Result language
angličtina
Original language name
Commutative dilation theory
Original language description
Dilation theory of single Hilbert space contractions is an important and very useful part of operator theory. By the main result of the theory, every Hilbert space contraction has the uniquely determined minimal unitary dilation. In many situations thisenables to study instead of a general contraction its unitary dilation, which has much nicer properties. The present paper gives a survey of dilation theory for commuting tuples of Hilbert space operators. The paper is organized as follows: 1. Introduction, 2. Dilation theory of single contractions, 3. Regular dilations, 4. Ando?s dilation and von Neumann inequality, 5. Spherical dilations, 6. Analytic models, 7. Further examples, 8. Concluding remarks.
Czech name
—
Czech description
—
Classification
Type
C - Chapter in a specialist book
CEP classification
BA - General mathematics
OECD FORD branch
—
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Book/collection name
Operator Theory
ISBN
978-3-0348-0666-4
Number of pages of the result
32
Pages from-to
1093-1124
Number of pages of the book
1627
Publisher name
Springer
Place of publication
Basel
UT code for WoS chapter
—