Rank theorems of operators between Banach spaces
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Publication:1974199
DOI10.1007/BF02903841zbMath0946.47001OpenAlexW2995990019MaRDI QIDQ1974199
Publication date: 7 May 2000
Published in: Science in China. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02903841
Related Items (10)
Perturbation analysis of generalized inverses of linear operators in Banach spaces ⋮ On the semi-continuity of generalized inverses in Banach algebras ⋮ The generalized regular points and narrow spectrum points of bounded linear operators on Hilbert spaces ⋮ Complete rank theorem of advanced calculus and singularities of bounded linear operators ⋮ Three classes of smooth Banach submanifolds in \(B(E,F)\) ⋮ A rank theorem of operators between Banach spaces ⋮ Perturbation analysis for oblique projection generalized inverses of closed linear operators in Banach spaces ⋮ A Principle for Critical Point Under Generalized Regular Constraint and Ill-Posed Lagrange Multipliers Under Nonregular Constraints ⋮ Local conjugacy theorem, rank theorems in advanced calculus and a generalized principle for constructing Banach manifolds ⋮ A generalized preimage theorem in global analysis
Cites Work
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- Dimensions of subspaces of a Hilbert space and index of the semi-Fredholm operator
- Sufficient and necessary conditions for Moore-Penrose inverses \(A_ x^ +\) to be continuous
- On the necessary and sufficient conditions of the continuity of M-P inverses \(A_ x^ +\)
- (1. 2) inverses of operators between Banach spaces and local conjugacy theorem
- Convergence of Newton-like methods for singular operator equations using outer inverses
- Generalized indices of operators in \(B(H)\)
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