RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
Forthcoming seminars
Seminar calendar
List of seminars
Archive by years
Register a seminar

Search
RSS
Forthcoming seminars





You may need the following programs to see the files








Algebras in Analysis
November 15, 2019 18:05–19:35, Moscow, Lomonosov Moscow State University, room 13-20.
 


On a generator of the semigroup of shifts on the algebra of canonical anticommutation relations

G. G. Amosov

Number of views:
This page:16

Abstract: Let $S_t=e^{td}, t\ge 0$ be a one-parameter semigroup of isometrical operators in a Hilbert space $H$ which is continuous in strong operator topology and $d$ be its generator with the dense domain $D(d)$. Then,
$$ \alpha _t(x)=S_t^*xS_t, t\ge 0, $$
$x\in B(H)$, is a semigroup of (non-unital in general) *-endomorphisms of the algebra of all bounded operators $B(H)$ with the generator
$$ \delta (x)=d^*x+xd, $$
$x\in D(\delta )$. It will be shown how applying a singular perturbation of $\delta $ it is possible to obtain the generator and the equation for the semigroup of shifts on the algebra of canonical anticommutation relations in the antisymmetric Fock space.

SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru
 
Contact us:
 Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020