Cover Image

A criterion for Banach manifolds with a separable model to be finite-dimensional

We give an example of a continuous bijective mapping with a discontinuous inverse which acts in a separable Banach space and differs from the identical mapping only in an open unit ball. A criterion for Banach manifolds with a separable model to be finite-dimensional is established in terms of the c...

Full description

Saved in:

Bibliographic Details
Date:	1994
Main Authors:	Savkin, V. I., Савкин, В. И.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 1994
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5666
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

A criterion for Banach manifolds to be finite-dimensional
by: Savkin, V. I., et al.
Published: (1995)

On differentiability of mappings of finite-dimensional domains into Banach spaces
by: Bondar, A. V., et al.
Published: (1999)

Stokes formula for Banach manifolds
by: Bogdanskii, Yu. V., et al.
Published: (2020)

Separability in Riemannian Manifolds
by: Benenti, S.
Published: (2016)

Stokes formula for Banach manifolds
by: Yu. V. Bohdanskyi
Published: (2020)

Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds
by: Carignano, A., et al.
Published: (2011)

Random integral manifolds of systems of differential equations with unbounded operator in a Banach space
by: Kolomiyets, V. G., et al.
Published: (1998)

Критерий конечномерности банахова многообразия
by: Савкин, В.И.
Published: (1995)

A stability criterion for periodic solutions of two-dimensional discontinuous dynamical systems
by: Urmanchev, V. I., et al.
Published: (1999)

Surface measures on Banach manifolds with uniform structure
by: Bogdanskii, Yu. V., et al.
Published: (2017)

Convergence, brought to life by analytical functionals, and isomorphism of analytical-function algebras
by: Petunin , Yu. I., et al.
Published: (1988)

The Stacey-Roberts Lemma for Banach Manifolds
by: Kristel, Peter, et al.
Published: (2025)

Conditions for Instability of an Invariant Toroidal Manifold of a Discrete Dynamical System in a Banach Space
by: Slyusarchuk, V. V., et al.
Published: (2001)

Banach Manifolds with Bounded Structure and the Gauss?Ostrogradskii Formula
by: Bogdanskii, Yu. V., et al.
Published: (2012)

Transitivity of the surface measures on Banach manifolds with uniform structure
by: Bogdanskii, Yu. V., et al.
Published: (2017)

Surface measures on Banach manifolds with uniform structure
by: Ju. V. Bogdanskij, et al.
Published: (2017)

On the Manifolds of Eigenvectors of Linear and Quasilinear Finite-Dimensional Self-Adjoint Operators. II
by: Dymarskii, Ya. M., et al.
Published: (2001)

Banach algebra generated by a finite number of bergman polykernel operators, continuous coefficients, and a finite group of shifts
by: Mozel’, V. A., et al.
Published: (2010)

On the Manifolds of Eigenvectors of Linear and Quasilinear Finite-Dimensional Self-Adjoint Operators. I
by: Dymarskii, Ya. M., et al.
Published: (2001)

Solvability criterion and representation of solutions of $n$-normal and $d$-normal linear operator equations in a Banach space
by: Zhuravlev, V. F., et al.
Published: (2010)

Критерий конечномерности банахова многообразия с сепарабельной моделью
by: Савкин, С.А.
Published: (1994)

Transitivity of the surface measures on Banach manifolds with uniform structure
by: Ju. V. Bogdanskij, et al.
Published: (2017)

A criterion of diagonalizability of a pair of matrices over the ring of principal ideals by common row and separate column transformations
by: Petrichkovich, V. M., et al.
Published: (1997)

On a criterion of rationality for a series in orthogonal polynomials
by: Buslaev, V. I., et al.
Published: (2010)

Criterions of supersolubility of some finite factorizable groups
by: Legchekova, H.V.
Published: (2005)

On a criterion of $NP$-completeness
by: Bulitko, V. V., et al.
Published: (1998)

Непрерывность обратных отображений к квадратичным операторным полиномам
by: Петунин, Ю.И., et al.
Published: (1989)

Сходимость, порожденная аналитическими функционалами, и изоморфизм алгебр аналитических функций
by: Петунин, Ю.И., et al.
Published: (1988)

Solvability criterion of linear boundary-value problems for integro-differential Fredholm equations with a degenerate kernel in Banach spaces
by: Boichuk , A. A., et al.
Published: (2020)

Differentiability of Borel measures along vector fields on Banach manifolds with uniform structure
by: Moravets’ka, K. V., et al.
Published: (2016)

Kostin-type criterion for abstract linear differential equations of arbitrary order in banach spaces
by: Horbatenko, Ya. V., et al.
Published: (2010)

On a Banach algebra generated by the Bergman operator, constant coefficients, and finitely generated groups of shifts
by: Mozel’, V. A., et al.
Published: (2017)

Solvability criterion of linear boundary-value problems for integro-differential Fredholm equations with a degenerate kernel in Banach spaces
by: O. A. Boichuk, et al.
Published: (2020)

On the possibility of obtaining a beam of heavy ions in the form of an “open umbrella” with subsequent deposition in the separator manifold
by: Yuferov, V.B., et al.
Published: (2023)

A mathematical model of separation of magnetic ore
by: S. I. Ljashko, et al.
Published: (2018)

Finite-dimensional approximations of diffusion measures in a Hilbert space
by: Bondarenko, V. G., et al.
Published: (1999)

Finite mean oscillation on Finsler manifolds
by: E. S. Afanaseva
Published: (2017)

Finite Lipschitz mappings on Finsler manifolds
by: O. S. Afanaseva
Published: (2016)

Finite Lipschitz mappings on Finsler manifolds
by: Afanas’eva, O.S.
Published: (2016)

Finite mean oscillation on Finsler manifolds
by: Afanas’eva, E.S.
Published: (2017)