Zobrazeno 1 - 10
of 257
pro vyhledávání: '"Zagrebnov, Valentin A."'
Autor:
Iochum, Bruno, Zagrebnov, Valentin A.
Motivated by examples from physics and noncommutative geometry, given a generator $A$ of a Gibbs semigroup, we reexamine the relationship between the Schatten class of its resolvents and the behaviour of the norm-trace $\norm{e^{-tA}}_1\,$ when $t$ a
Externí odkaz:
http://arxiv.org/abs/2309.05394
Autor:
Zagrebnov, Valentin A.
In this paper we collect results concerning the {operator-norm} convergent {Trotter} product formula for two semigroups $\{\e^{- t A}\}_{t\geq 0}$, $\{\e^{- t B}\}_{t\geq 0}$, with densely defined generators $A$ and $B$ in a {Banach} space. Although
Externí odkaz:
http://arxiv.org/abs/2205.04807
Autor:
Zagrebnov, Valentin A.
The purpose of the present notes is to examine the following issues related to the the Chernoff estimate: (1) For contractions on a Banach space we modify the $\sqrt{n}$-estimate and apply it in the proof of the Chernoff product formula for $C_0$-sem
Externí odkaz:
http://arxiv.org/abs/2205.04794
Autor:
Zagrebnov, Valentin A.
The paper presents a review of results concerning the non-conventional dynamical condensation versus conventional Bose-Einstein condensation, including the case of generalised van den Berg-Lewis-Pul\'e condensate. The review is based on detailed disc
Externí odkaz:
http://arxiv.org/abs/2003.06942
Publikováno v:
Current Research in Nonlinear Analysis, 135, pp.229-247, 2018, Springer Optimization and Its Applications
We give a review of results on the operator-norm convergence of the Trotter product formula on Hilbert and Banach spaces, which is focused on the problem of its convergence rates. Some recent results concerning evolution semigroups are presented in d
Externí odkaz:
http://arxiv.org/abs/2002.04483
Autor:
Zagrebnov, Valentin
The paper is devoted to a linear dynamics for non-autonomous perturbation of the Gibbs semigroup on a separable Hilbert space. It is shown that evolution family {U(t, s)} 0$\le$s$\le$t solving the non-autonomous Cauchy problem can be approximated in
Externí odkaz:
http://arxiv.org/abs/2001.07377
Autor:
Zagrebnov, Valentin
We revise the strong convergent Chernoff product formula and extend it, in a Hilbert space, to convergence in the operator-norm topology. Main results deal with the self-adjoint Chernoff product formula. The nonself-adjoint case concerns the quasi-se
Externí odkaz:
http://arxiv.org/abs/1911.09480
The paper is devoted to evolution equations of the form $\partial$ $\partial$t u(t) = --(A + B(t))u(t), t $\in$ I = [0, T ], on separable Hilbert spaces where A is a non-negative self-adjoint operator and B($\times$) is family of non-negative self-ad
Externí odkaz:
http://arxiv.org/abs/1901.02205
Autor:
Zagrebnov, Valentin
It is shown that for a certain class of the Kato functions the Trotter-Kato product formulae converge in Dixmier ideal C 1,$\infty$ in topology, which is defined by the $\times$ 1,$\infty$-norm. Moreover, the rate of convergence in this topology inhe
Externí odkaz:
http://arxiv.org/abs/1812.11411