An infinite-dimensional version of the Borsuk-Ulam theorem

DOI10.1007/S10688-005-0001-0zbMath1069.47012OpenAlexW2331059024MaRDI QIDQ2486713

Boris Danilovich Gel'man

Publication date: 5 August 2005

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-005-0001-0

zbMATH Keywords

compact mapoperator equationclosed surjective operator

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Equations and inequalities involving linear operators, with vector unknowns (47A50) Fixed points and coincidences in algebraic topology (55M20)

Related Items (2)

How to approach nonstandard boundary value problems ⋮ Bourgin--Yang-type theorem for \(a\)-compact perturbations of closed operators. I: The case of index theories with dimension property

Cites Work

• Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\)
• Borsuk-Ulam theorem in infinite-dimensional Banach spaces

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