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Core inverse in Banach algebras
Banach Journal of Mathematical Analysis, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mosić, Dijana +2 more
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The core and dual core inverse of a morphism with kernel
Linear and Multilinear Algebra, 2018ABSTRACTLet C be an additive category with an involution ∗ . Suppose that φ:X→X is a morphism with kernel κ:K→X in C , then φ is core invertible if and only if φ has a cokernel λ:X→L and both κλ an...
Tingting Li +3 more
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Generalized core inverse in Banach ∗-algebras
Operators and MatricesLet \(A\) be a Banach \(*\)-algebra over \(\mathbb{C}\), and assume that the involution \(*\) is proper, i.e., for \(x\in A\), \(x^*x = 0\) implies \(x = 0\). An element \(a\in A\) has generalized core-EP inverse (see [the authors, ``On generalized core-EP invertibility in a Banach algebra'', Preprint (2023), \url{arXiv:2309.09862}]) if there exists ...
Chen, Huanyin +1 more
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Displacement structure of the core inverse
Linear and Multilinear Algebra, 2020A matrix A is said to possess an UV-displacement structure if rank(AU−VA) is small compared with the rank of A. Estimates for the rank A◯#V−UA◯# are presented, where A◯# is the core inverse of A.
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The Common Core and Inverse Functions
The Mathematics Teacher, 2012As we design curriculum programs based on CCSSM, we need to be careful when we consider the inclusion of some “nonessential” standards.
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Banach Journal of Mathematical Analysis
It is well known that, given \(A \in \mathbb{C}^{m \times n}\), there exists a unique \(X \in \mathbb{C}^{n \times m}\) such that \(AXA=A, XAX=X\) and the matrices \(AX, XA\) are Hermitian. Such a unique matrix is denoted by \(A^{\dag}\) and is known as the Moore-Penrose inverse of \(A\). In this work, given matrices \(A \in \mathbb{C}^{m \times n}, C \
Mosic, D., Ferreyra, David Eduardo
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It is well known that, given \(A \in \mathbb{C}^{m \times n}\), there exists a unique \(X \in \mathbb{C}^{n \times m}\) such that \(AXA=A, XAX=X\) and the matrices \(AX, XA\) are Hermitian. Such a unique matrix is denoted by \(A^{\dag}\) and is known as the Moore-Penrose inverse of \(A\). In this work, given matrices \(A \in \mathbb{C}^{m \times n}, C \
Mosic, D., Ferreyra, David Eduardo
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New generalizations of the core and dual core inverses
Publicationes Mathematicae DebrecenIn order to solve some systems of operator equations, we introduce two new classes of generalized inverses. Since we extend the concepts of the dual core and core inverses, these new inverses are called the {\it generalized dual core} (or GDC) {\it inverse} and the {\it generalized core} (or GC) {\it inverse}.
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Generalization of core-EP inverse for rectangular matrices
Journal of Mathematical Analysis and Applications, 2021Dijana Mosić +2 more
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