Representations for weighted Moore-Penrose inverses of partitioned adjointable operators

DOI10.1016/j.laa.2012.08.002zbMath1269.47003arXiv1008.0887OpenAlexW2071505104MaRDI QIDQ1932576

Chuanning Song, Yonghao Chen, Qingxiang Xu

Publication date: 21 January 2013

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.0887

zbMATH Keywords

weighted Moore-Penrose inverseHilbert \(C^{\ast }\)-modulepartitioned operator

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) (C^*)-modules (46L08) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) General theory of linear operators (47A99)

Related Items (7)

Norm Estimations for the Moore-Penrose Inverse of the Weak Perturbation of Hilbert C ∗-Module Operators ⋮ Generalized parallel sum of adjointable operators on Hilbert C*-modules ⋮ Representations for the Drazin inverse of an anti-triangular block operator matrix E with ind(E) ≤ 2 ⋮ Unnamed Item ⋮ Factorization and range inclusion of adjointable operators on the weighted Hilbert C^∗-modules ⋮ WEIGHTED MOORE-PENROSE INVERSES OF ADJOINTABLE OPERATORS ON INDEFINITE INNER-PRODUCT SPACES ⋮ Weighted Moore-Penrose inverses of products and differences of weighted projections on indefinite inner-product spaces

Cites Work

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• General expressions for the Moore-Penrose inverse of a 2\(\times 2\) block matrix
• Moore--Penrose inverses of partitioned adjointable operators on Hilbert \(C^*\)-modules
• The weighted generalized inverses of a partitioned matrix
• Positive semi-definite matrices of adjointable operators on Hilbert \(C^{*}\)-modules
• An alternative representation of the generalized inverse of partitioned matrices
• The Moore-Penrose inverse of a bordered matrix
• Singular Value Decomposition and the Moore–Penrose Inverse of Bordered Matrices
• Representations for the Generalized Inverse of a Partitioned Matrix

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