This paper discusses the origin of the small parameters with the aim of explaining the Hierarchy problem. The flexible extra dimensions are an essential tool in the process by which physical parameters are formed. The ...
Let $\mathcal{H}$ be a Hilbert space, $\dim \mathcal{H}= +\infty$. Let $X=U|X|$ be the polar decomposition of an
operator $X\in \mathcal{B}(\mathcal{H})$. Then $X$ is a non-commutator if and only if both $U$ and ...
Let $\mathcal{M}$ be a semifinite von Neumann algebra on a Hilbert space $\cH$ equipped with a faithful normal semifinite trace $\tau$, $S(\mathcal{M},\tau)$ be the ${}^*$-algebra of all $\tau$-measurable operators. Let ...
Попов Аркадий Александрович; Лисенков Дмитрий Сергеевич(2023)
Vacuum polarization of a scalar field on the short throat wormhole background is investigated.
The scalar field is assumed to be massless, having an arbitrary coupling to the scalar curvature of spacetime. In addition, ...
Given a von Neumann algebra $M$ of operators on a Hilbert space $H$ and a faithful normal semifinite trace $\tau$ on $M$, denote by $S(M, \tau)$ the *-algebra of $\tau$-measurable operators. We obtain a sufficient condition ...
Пусть алгебра фон Неймана $\mathcal{M}$ операторов действует в гильбертовом пространстве $\mathcal{H}$, $\tau$ -- точный нормальный полуконечный след на
$\mathcal{M}$, $S(\mathcal{M}, \tau )$ -- *-алгебра $\tau$-измеримых ...
Kazantsev Andrei Vitalievich; Kinder Mihail Ivanovich(2022)
We study extrema of the Mityuk radius depending on the choice of the canonical domain. Turning to the doubly connected case allows us to use the explicit form of mapping functions onto canonical domains. We obtain the ...
Cvetkova Marina Serafimovna; Kiryukhin Vladimir Mikhaylovich; Borisov Nikolay Anatolevich; Kinder Mihail Ivanovich(2022)
The article describes methodological approaches to the formation of olympiad competencies for juniors, children 12-15 years old, based on five training tracks in olympiad informatics in accordance with the IOI Syllabus. ...
Нуриев Артем Наилевич; Зайцева Ольга Николаевна; Жучкова Ольга Сергеевна(2022)
Учебное пособие основано на курсе лекций и практических занятий,
проводимых в Институте математики и механики имени Н.И. Лобачевско-го КФУ, Институте геологии и нефтегазовых технологий КФУ и на кафедре информатики и ...
Пусть алгебра фон Неймана ${\mathcal M}$ операторов действует в гильбертовом пространстве $\mathcal{H}$,
$\tau$ -- точный нормальный полуконечный след на
$\mathcal{M}$, $S(\mathcal{M}, \tau )$ -- ${}^*$-алгебра ...
Consider a unital $C^*$-algebra $\mathcal{A}$. Let $n\geq 2$ and let $P_1, \ldots , P_n$ be projections in $\mathcal{A}$ such that $P_1 + \ldots +P_n=I$. We costruct $\mathcal{P}_n\colon \mathcal{A}\to \mathcal{A}$ ...
Kacimov Anvar Rashidovich; Obnosov Yurii Viktorovich(2022)
Two boundary value problems are solved for potential steady-state 2-D Darcian seepage flows towards a line sink in a homogeneous isotropic soil from a ponded land surface, which is not flat but profiled with the aim of ...