AbstractWe characterize the sets X of all products PQ, and Y of all products PQP, where P,Q run over all orthogonal projections and we solve the problems argmin{‖P-Q‖:(P,Q)∈Z}, for Z=X or Y. We also determine the polar decompositions and Moore–Penrose pseudoinverses of elements of X
Let W and M be two finite dimensional subspaces of a Hilbert space H such that H = W ⊕ M⊥, and let P...
AbstractThe analytical structure of the Moore-Penrose pseudoinverse of the product ab of any two ope...
AbstractWe describe the elements of von Neumann algebras which can be represented as products of ort...
We characterize the sets X of all products P Q, and Y of all products P QP, where P, Q run over all ...
AbstractWe characterize the sets X of all products PQ, and Y of all products PQP, where P,Q run over...
We characterize the sets X of all products P Q, and Y of all products P QP, where P, Q run over all ...
AbstractThe partial isometries and the positive semidefinite operators which appear as factors of po...
The partial isometries and the positive semidefinite operators which appear as factors of polar deco...
This article is devoted to the study of the set T of all products PA with P an orthogonal projection...
Let H be a Hilbert space and L(H) be the algebra of all bounded linear operators from H to H. Our go...
AbstractThe partial isometries and the positive semidefinite operators which appear as factors of po...
AbstractSeveral results involving a product of two orthogonal projectors (i.e., Hermitian idempotent...
We study the set C consisting of pairs of orthogonal projectionsP,Q acting in a Hilbert space H such...
A new proof is obtained to the following fact: a Rickart C*-algebra satisfies polar decomposition. E...
AbstractGeneralizing the result in Lemma of Baksalary and Baksalary [J.K. Baksalary, O.M. Baksalary,...
Let W and M be two finite dimensional subspaces of a Hilbert space H such that H = W ⊕ M⊥, and let P...
AbstractThe analytical structure of the Moore-Penrose pseudoinverse of the product ab of any two ope...
AbstractWe describe the elements of von Neumann algebras which can be represented as products of ort...
We characterize the sets X of all products P Q, and Y of all products P QP, where P, Q run over all ...
AbstractWe characterize the sets X of all products PQ, and Y of all products PQP, where P,Q run over...
We characterize the sets X of all products P Q, and Y of all products P QP, where P, Q run over all ...
AbstractThe partial isometries and the positive semidefinite operators which appear as factors of po...
The partial isometries and the positive semidefinite operators which appear as factors of polar deco...
This article is devoted to the study of the set T of all products PA with P an orthogonal projection...
Let H be a Hilbert space and L(H) be the algebra of all bounded linear operators from H to H. Our go...
AbstractThe partial isometries and the positive semidefinite operators which appear as factors of po...
AbstractSeveral results involving a product of two orthogonal projectors (i.e., Hermitian idempotent...
We study the set C consisting of pairs of orthogonal projectionsP,Q acting in a Hilbert space H such...
A new proof is obtained to the following fact: a Rickart C*-algebra satisfies polar decomposition. E...
AbstractGeneralizing the result in Lemma of Baksalary and Baksalary [J.K. Baksalary, O.M. Baksalary,...
Let W and M be two finite dimensional subspaces of a Hilbert space H such that H = W ⊕ M⊥, and let P...
AbstractThe analytical structure of the Moore-Penrose pseudoinverse of the product ab of any two ope...
AbstractWe describe the elements of von Neumann algebras which can be represented as products of ort...