Borsuk-Ulam theorem in infinite-dimensional Banach spaces

DOI10.1070/SM2002V193N01ABEH000621zbMath1026.47038OpenAlexW2030906471MaRDI QIDQ4807100

Boris Danilovich Gel'man

Publication date: 15 May 2003

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2002v193n01abeh000621

zbMATH Keywords

perturbation theoryBorsuk-Ulam theoremcontrol problemsquasi-fixed points

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Perturbation theory of linear operators (47A55) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Applications of operator theory in systems, signals, circuits, and control theory (47N70)

Related Items (3)

An infinite-dimensional version of the Borsuk-Ulam theorem ⋮ Bourgin--Yang-type theorem for \(a\)-compact perturbations of closed operators. I: The case of index theories with dimension property ⋮ On the Borsuk-Ulam theorem for Lipschitz mappings on an infinite-dimensional space

This page was built for publication: Borsuk-Ulam theorem in infinite-dimensional Banach spaces