### ?

## C∞(M) as a smooth envelope of its subalgebras

Mathematical notes. 2015. Vol. 97. No. 3. P. 489-492.

191574970

A smooth envelope of a topological algebra is introduced, and the following result is announced: the smooth envelope of a given subalgebra *A* in *C*∞(*M*) coincides with *C*∞(*M*) if and only if *A* has the same tangent bundle as *M*.

Akbarov S. S., Итоги науки и техники. Современная математика и ее приложения. Тематические обзоры 2017 Т. 130 С. 3-112

Since the first optical instruments have been invented, an idea that the visible image of an object under observation depends on tools of observation became commonly assumed in physics. A way of formalizing this idea in mathematics is the construction that assigns to an arbitrary object A in a category K its envelope Env^Ω_ Φ A in a given class Ω ...

Added: October 21, 2018

191574970, Functional Analysis and Its Applications 2016 Vol. 50 No. 2 P. 143-145

To an arbitrary involutive stereotype algebra A the continuous envelopeoperation assigns its nearest, in some sense, involutive stereotype algebra EnvCA so that homomorphisms to various C*-algebras separate the elements of EnvC A but do not distinguish between the properties of A and those of EnvCA.
If A is an involutive stereotype subalgebra in the algebra C(M) of continuous functions on a paracompact ...

Added: September 23, 2016

Akbarov S. S., Итоги науки и техники. Современная математика и ее приложения. Тематические обзоры 2017 Т. 129 С. 3-133

Since the first optical instruments have been invented, an idea that the visible image of an object under observation depends on tools of observation became commonly assumed in physics. A way of formalizing this idea in mathematics is the construction that assigns to an arbitrary object A in a category K its envelope Env^Ω_ Φ A in a given class Ω ...

Added: October 21, 2018

191574970, Nova Science Publishers, 2000

Added: September 23, 2016

Pirkovskii A. Y., / Cornell University. Series math "arxiv.org". 2021. No. 2104.13716.

We give several characterizations of relative homological epimorphisms in the setting of locally convex topological algebras, thereby correcting a gap in our earlier paper [Trans. Moscow Math. Soc. 2008, 27-104]. ...

Added: April 29, 2021

191574970, Dissertationes Mathematicae 2016 Vol. 513 P. 1-188

An envelope in a category is a construction that generalizes the operations of “exterior completion”, like completion of a locally convex space, or the Stone–Čech compactification of a topological space, or the universal enveloping algebra of a Lie algebra. Dually, a refinement generalizes the operations of “interior enrichment”, like bornologification (or saturation) of a locally ...

Added: September 23, 2016

191574970, Journal of Mathematical Sciences 2003 Vol. 113 No. 2 P. 179-349

Added: September 23, 2016

S. S. Akbarov, Journal of Algebra and its Applications 2020 Vol. 19 No. 6 P. 1-28

We prove several properties of kernels and cokernels in the category of augmented involutive
stereotype algebras: 1) this category has kernels and cokernels, 2) the cokernel is preserved under the
passage to the group stereotype algebras, and 3) the notion of cokernel allows to prove that the continuous
envelope Env C*(Z · K) of the group algebra of ...

Added: June 8, 2019

Akbarov S. S., Journal of Mathematical Sciences 2017 Vol. 227 No. 6 P. 669-789

Since the first optical instruments have been invented, an idea that the visible image of an object under observation depends on tools of observation became commonly assumed in physics. A way of formalizing this idea in mathematics is the construction that assigns to an arbitrary object A in a category K its envelope Env^Ω_ Φ A in a given class Ω ...

Added: October 21, 2018

191574970, IMPAN, 2005

Added: September 23, 2016

191574970, Mathematical notes 2013 Vol. 94 No. 5 P. 814-815

Added: September 23, 2016

191574970, Functional Analysis and Its Applications 2000 Vol. 34 No. 1 P. 60-63

Added: September 23, 2016

Akbarov S. S., Journal of Mathematical Sciences 2017 Vol. 227 No. 5 P. 531-668

Added: October 21, 2018

191574970, Functional Analysis and Its Applications 2006 Vol. 40 No. 2 P. 81-90

It is well known that every module M over the algebra ℒ(X) of operators on a finite-dimensional space X can be represented as the tensor product of X by some vector space E, M ≅ = E ⊗ X. We generalize this assertion to the case of topological modules by proving that if X is a stereotype space with the stereotype approximation property, then for each stereotype module M over the ...

Added: September 23, 2016

191574970, Mathematical notes 1999 Vol. 66 No. 6 P. 941-944

Added: September 23, 2016

191574970, Mathematical notes 1999 Vol. 66 No. 5 P. 651-655

Added: September 23, 2016

Pirkovskii A. Y., / Cornell University. Series math "arxiv.org". 2021. No. 2109.03352.

We introduce a family of dense subalgebras of the Toeplitz algebra and give conditions under which our algebras are quasi-free. As a corollary, we show that the smooth Toeplitz algebra introduced by Cuntz is quasi-free. ...

Added: September 12, 2021

Losev A. S., Slizovskiy S., JETP Letters 2010 Vol. 91 P. 620-624

Added: February 27, 2013

Ilyashenko Y., Яковенко С. Ю., М. : МЦНМО, 2013

Предлагаемая книга—первый том двухтомной монографии, посвящённой аналитической теории дифференциальных уравнений.
В первой части этого тома излагается формальная и аналитическая теория нормальных форм и теорема о разрешении особенностей для векторных полей на плоскости.
Вторая часть посвящена алгебраически разрешимым локальным задачам теории аналитических дифференциальных уравнений , квадратичным векторным полям и проблеме локальной классификации ростков векторных полей в комплексной области ...

Added: February 5, 2014

Kalyagin V.A., Koldanov A.P., Koldanov P.A. et al., Physica A: Statistical Mechanics and its Applications 2014 Vol. 413 No. 1 P. 59-70

A general approach to measure statistical uncertainty of different filtration techniques for market network analysis is proposed. Two measures of statistical uncertainty are introduced and discussed. One is based on conditional risk for multiple decision statistical procedures and another one is based on average fraction of errors. It is shown that for some important cases ...

Added: July 19, 2014

Min Namkung, Younghun K., Scientific Reports 2018 Vol. 8 No. 1 P. 16915-1-16915-18

Sequential state discrimination is a strategy for quantum state discrimination of a sender’s quantum
states when N receivers are separately located. In this report, we propose optical designs that can
perform sequential state discrimination of two coherent states. For this purpose, we consider not
only binary phase-shifting-key (BPSK) signals but also general coherent states, with arbitrary prior
probabilities. Since ...

Added: November 16, 2020

Maslov V., Теоретическая и математическая физика 2019 Т. 201 № 1 С. 65-83

We study the process of a nucleon separating from an atomic nucleus from the mathematical standpoint
using experimental values of the binding energy for the nucleus of the given substance. A nucleon becomes
a boson at the instant of separating from a fermionic nucleus. We study the further transformations of
boson and fermion states of separation in a ...

Added: November 1, 2019

Pahomov F., Известия РАН. Серия математическая 2016 Т. 80 № 6 С. 173-216

Полимодальная логика доказуемости
GLP была введена Г. К. Джапаридзе в 1986 г. Она является логикой доказуемости для ряда цепочек предикатов доказуемости возрастающей силы. Всякой полимодальной логике соответствует многообразие полимодальных алгебр. Л. Д. Беклемишевым и А. Виссером был поставлен вопрос о разрешимости элементарной теории свободной GLP-алгебры, порожденной константами 0, 1 [1]. В этой статье для любого натурального n решается аналогичный вопрос для логик GLPn, являющихся ...

Added: December 4, 2017

Sinelshchikov D., Кудряшов Н. А., Theoretical and Mathematical Physics 2018 Vol. 196 No. 2 P. 1230-1240

We study a family of nonautonomous generalized Liénard-type equations. We consider the equivalence problem via the generalized Sundman transformations between this family of equations and type-I Painlevé–Gambier equations. As a result, we find four criteria of equivalence, which give four integrable families of Liénard-type equations. We demonstrate that these criteria can be used to construct ...

Added: February 9, 2019