Smooth and path connected Banach submanifold Σ r of B(E,F) and a dimension formula in B(ℝ n ,ℝ m )

DOI10.1007/S10496-008-0395-7zbMath1199.47157OpenAlexW2150087599MaRDI QIDQ3642085

Jipu Ma

Publication date: 11 November 2009

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

Full work available at URL: https://doi.org/10.1007/s10496-008-0395-7

zbMATH Keywords

generalized inverseperturbation analysispath connectivityoperator of finite ranksmooth Banach submanifold

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Linear operators on function spaces (general) (47B38) Differentiable manifolds, foundations (58A05) Continuous and differentiable maps in nonlinear functional analysis (46T20)

Cites Work

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• On symmetric and skew-symmetric determinantal varieties
• Complete rank theorem of advanced calculus and singularities of bounded linear operators
• A generalized transversality in global analysis
• Manifolds, tensor analysis, and applications.
• Three classes of smooth Banach submanifolds in \(B(E,F)\)

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