A criterion for Banach manifolds to be finite-dimensional

  • V. I. Savkin

Abstract

We extend the results obtained in [1] to the case of arbitrary Banach spaces and manifolds. We give an example of a continuous bijective mapping with discontinuous inverse which acts in a Banach space and differs from the identical mapping only in an open unit ball. A criterion for a Banach manifold to be finite-dimensional is established in terms of the continuity of inverse operators.
Published
25.12.1995
How to Cite
SavkinV. I. “A Criterion for Banach Manifolds to Be Finite-Dimensional”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 47, no. 12, Dec. 1995, pp. 1712–1713, https://umj.imath.kiev.ua/index.php/umj/article/view/5567.
Section
Short communications