Norm Estimations for the Moore-Penrose Inverse of the Weak Perturbation of Hilbert C ∗-Module Operators
DOI10.1007/978-3-031-02104-6_7OpenAlexW4300871258MaRDI QIDQ5888397
Chunhong Fu, Unnamed Author, Qingxiang Xu, Unnamed Author
Publication date: 25 April 2023
Published in: Trends in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-031-02104-6_7
weak perturbationMoore-Penrose inversemultiplicative perturbationHilbert \(C^\ast \)-modulestrong perturbation
Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Geometry and structure of normed linear spaces (46B20) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Equations and inequalities involving linear operators, with vector unknowns (47A50)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A gentle guide to the basics of two projections theory
- Common Hermitian and positive solutions to the adjointable operator equations \(AX = C\), \(XB = D\)
- Generalized inverses: theory and computations
- Representations for weighted Moore-Penrose inverses of partitioned adjointable operators
- Multiplicative perturbations of matrices and the generalized triple reverse order law for the Moore-Penrose inverse
- Expressions for the Moore-Penrose inverse of block matrices involving the Schur complement
- Positivity of $2\times2$ block matrices of operators
- Positive semi-definite matrices of adjointable operators on Hilbert \(C^{*}\)-modules
- Accurate Solution of Structured Least Squares Problems via Rank-Revealing Decompositions
- Representations and norm estimations for the Moore–Penrose inverse of multiplicative perturbations of matrices
- Sharp Norm-Estimations for Moore–Penrose Inverses of Stable Perturbations of Hilbert $C^*$-Module Operators
- On the Perturbation of Pseudo-Inverses, Projections and Linear Least Squares Problems
- Norm estimations for the Moore-Penrose inverse of the weak perturbation of matrices
- New multiplicative perturbation bounds of the Moore–Penrose inverse
- A note on stable perturbations of Moore–Penrose inverses
- A note on multiplicative perturbation bounds for the Moore–Penrose inverse
- Perturbation theory for pseudo-inverses
- Norm estimations for the Moore-Penrose inverse of multiplicative perturbations of matrices
This page was built for publication: Norm Estimations for the Moore-Penrose Inverse of the Weak Perturbation of Hilbert C ∗-Module Operators