Back to Search
Start Over
Bogolyubov Endomorphisms and Non-Commutative Hyperbolic Functions
- Source :
- Lobachevskii Journal of Mathematics. 41:577-591
- Publication Year :
- 2020
- Publisher :
- Pleiades Publishing Ltd, 2020.
-
Abstract
- We classify Bogolyubov endomorphisms of the CCR algebra over a general test function space. This classification requires a non-commutative extension of the usual hyperbolic functions. We consider semi-groups of such endomorphisms and characterize their generators under the assumption of norm continuity.
- Subjects :
- Pure mathematics
Endomorphism
Mathematics::Operator Algebras
General Mathematics
010102 general mathematics
Hyperbolic function
01 natural sciences
010305 fluids & plasmas
Norm (mathematics)
0103 physical sciences
Test functions for optimization
0101 mathematics
Commutative property
Mathematics
Subjects
Details
- ISSN :
- 18189962 and 19950802
- Volume :
- 41
- Database :
- OpenAIRE
- Journal :
- Lobachevskii Journal of Mathematics
- Accession number :
- edsair.doi...........ac1910682885517b7eda9e1ec2d75c65