Local research of manifolds generated by families of self-adjoint operators

DOI10.1016/J.TOP.2009.11.021zbMath1197.47034OpenAlexW2013370729MaRDI QIDQ968903

B. E. Eshmatov

Publication date: 10 May 2010

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.top.2009.11.021

zbMATH Keywords

Arnold's manifold of selfadjoint operators with fixed eigenvalue multiplicityeigenvalue splitting problemUhlenbeck's manifold of eigenvectors

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Fredholm structures on infinite-dimensional manifolds (58B15) Structure theory of linear operators (47A65) Spectral theory; eigenvalue problems on manifolds (58C40) Manifolds of mappings (58D15)

Related Items (2)

The submanifolds of compact operators with fixed Jordan cells ⋮ On parametrization of the submanifold of matrices with a fixed structure of Jordan blocks

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