AbstractBy representing two orthogonal projectors in a finite dimensional vector space as partitioned matrices, several characterizations concerning eigenvalues of various functions of the pair are obtained. These results substantially extend the ones already available in the literature. Additionally, some related results dealing with the functions of a pair of orthogonal projectors are provided, with the emphasis laying on the problem of invertibility
AbstractFor an n×n complex matrix A and the n×n identity matrix In, the difference In−Ais investigat...
We analyze the best approximation (in the Frobenius sense) to the identity matrix in an arbitrary m...
In this paper, basic properties of projector sequences for matrix pairs which can be used for analyz...
AbstractThe concept of semi-orthogonality of two complex vectors is introduced. As a consequence, a ...
AbstractIt is shown that if P1 and P2 are orthogonal projectors, then a product having P1 and P2 as ...
Sum and intersection of linear subspaces in a vector space over a field are fundamental operations i...
AbstractIn this paper we introduce a canonical form to represent the product of two orthogonal proje...
AbstractLet L and M be any complementary subspaces. In this article, two relations established by T....
AbstractIn this paper we introduce a canonical form to represent the product of two orthogonal proje...
AbstractIt is known that necessary and sufficient conditions for the sum P1+P2 and the difference P1...
AbstractThe concept of semi-orthogonality of two complex vectors is introduced. As a consequence, a ...
AbstractWe study the completion problem for an orthogonal projector A of Rn from knowledge of one or...
This thesis is concerned with the problem of characterizing sums, differences, and products of two p...
AbstractSeveral results involving a product of two orthogonal projectors (i.e., Hermitian idempotent...
AbstractGeneralizing the result in Lemma of Baksalary and Baksalary [J.K. Baksalary, O.M. Baksalary,...
AbstractFor an n×n complex matrix A and the n×n identity matrix In, the difference In−Ais investigat...
We analyze the best approximation (in the Frobenius sense) to the identity matrix in an arbitrary m...
In this paper, basic properties of projector sequences for matrix pairs which can be used for analyz...
AbstractThe concept of semi-orthogonality of two complex vectors is introduced. As a consequence, a ...
AbstractIt is shown that if P1 and P2 are orthogonal projectors, then a product having P1 and P2 as ...
Sum and intersection of linear subspaces in a vector space over a field are fundamental operations i...
AbstractIn this paper we introduce a canonical form to represent the product of two orthogonal proje...
AbstractLet L and M be any complementary subspaces. In this article, two relations established by T....
AbstractIn this paper we introduce a canonical form to represent the product of two orthogonal proje...
AbstractIt is known that necessary and sufficient conditions for the sum P1+P2 and the difference P1...
AbstractThe concept of semi-orthogonality of two complex vectors is introduced. As a consequence, a ...
AbstractWe study the completion problem for an orthogonal projector A of Rn from knowledge of one or...
This thesis is concerned with the problem of characterizing sums, differences, and products of two p...
AbstractSeveral results involving a product of two orthogonal projectors (i.e., Hermitian idempotent...
AbstractGeneralizing the result in Lemma of Baksalary and Baksalary [J.K. Baksalary, O.M. Baksalary,...
AbstractFor an n×n complex matrix A and the n×n identity matrix In, the difference In−Ais investigat...
We analyze the best approximation (in the Frobenius sense) to the identity matrix in an arbitrary m...
In this paper, basic properties of projector sequences for matrix pairs which can be used for analyz...
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