A common property of \(R(E,F)\) and \(B(\mathbb R^n, \mathbb R^m)\) and a new method for seeking a path to connect two operators

DOI10.1007/S11425-010-4051-2zbMath1213.15005OpenAlexW2093526388MaRDI QIDQ625892

Zhaofeng Ma, Jipu Ma

Publication date: 25 February 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-4051-2

zbMATH Keywords

finite-rank operatorsmooth manifoldtangent spacepathwise connectedness

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Differentiable manifolds, foundations (58A05) Algebraic systems of matrices (15A30)

Related Items (1)

A Principle for Critical Point Under Generalized Regular Constraint and Ill-Posed Lagrange Multipliers Under Nonregular Constraints

Cites Work

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• On symmetric and skew-symmetric determinantal varieties
• Topology and analysis. The Atiyah-Singer index formula and gauge- theoretic physics. Transl. from the German by D. D. Bleecker and A. Mader
• Complete rank theorem of advanced calculus and singularities of bounded linear operators
• A generalized transversality in global analysis
• The smooth Banach submanifold \(B^*(E,F)\) in \(B(E,F)\)
• Manifolds, tensor analysis, and applications.
• Three classes of smooth Banach submanifolds in \(B(E,F)\)

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