Enviar artigo por via de e-mail On the Borsuk-Ulam Theorem for Lipschitz Mappings on an Infinite-Dimensional Space
- Autores: Gel’man B.D.1,2
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Afiliações:
- Voronezh State University
- Peoples’ Friendship University of Russia
- Edição: Volume 53, Nº 1 (2019)
- Páginas: 61-64
- Seção: Brief Communications
- URL: https://journals.rcsi.science/0016-2663/article/view/234700
- DOI: https://doi.org/10.1007/s10688-019-0249-4
- ID: 234700
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Resumo
The solvability of the equation A(x) = f(x) on the sphere of a Hilbert space and the dimension of its solution set are studied in the case where A is a closed surjective operator and f is an odd Lipschitz mapping. A kind of analogue of the infinite-dimensional version of the Borsuk-Ulam theorem is obtained.
Sobre autores
B. Gel’man
Voronezh State University; Peoples’ Friendship University of Russia
Autor responsável pela correspondência
Email: gelman_boris@mail.ru
Rússia, Voronezh; Moscow
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