AbstractIn this paper we study shorted operators relative to two different subspaces, for bounded operators on infinite dimensional Hilbert spaces. We define two notions of “complementability” in the sense of Ando for operators, and study the properties of the shorted operators when they can be defined. We use these facts in order to define and study the notions of parallel sum and subtraction, in this Hilbertian context
AbstractThe shorted operator defined by Mitra and Puri [10] and the generalized Schur complement of ...
An almost Pontryagin space can be written as the direct and orthogonal sum of a Hilbert space, a fin...
Let A be a selfadjoint operator and P be an orthogonal projection both operating on a Hilbert space ...
AbstractIn this paper we study shorted operators relative to two different subspaces, for bounded op...
In this paper we study shorted operators relative to two different subspaces, for bounded operators ...
In this paper we study shorted operators relative to two different subspaces, for bounded operators ...
AbstractThe parallel sum of two positive operators on a Hilbert space H is defined by the formula: A...
AbstractGiven a closed subspace S of a Hilbert space H and a (bounded) selfadjoint operator B acting...
If H is a Hilbert space, S is a closed subspace of H, and A is a positive bounded linear operator on...
AbstractIn this paper, our main objective is to study the effect of appending/deleting a column/row ...
In this article, we study some geometric properties like parallelism, orthogonality, and semirotundi...
In this article, we study some geometric properties like parallelism, orthogonality, and semirotundi...
Consider an operator A :H→K between Hilbert spaces and closed subspaces S ⊂ H and T ⊂ K. If there ex...
Given a closed subspace S of a Hilbert space H and a (bounded) selfadjoint operator B acting on H, a...
Given a closed subspace S of a Hilbert space H and a (bounded) selfadjoint operator B acting on H, a...
AbstractThe shorted operator defined by Mitra and Puri [10] and the generalized Schur complement of ...
An almost Pontryagin space can be written as the direct and orthogonal sum of a Hilbert space, a fin...
Let A be a selfadjoint operator and P be an orthogonal projection both operating on a Hilbert space ...
AbstractIn this paper we study shorted operators relative to two different subspaces, for bounded op...
In this paper we study shorted operators relative to two different subspaces, for bounded operators ...
In this paper we study shorted operators relative to two different subspaces, for bounded operators ...
AbstractThe parallel sum of two positive operators on a Hilbert space H is defined by the formula: A...
AbstractGiven a closed subspace S of a Hilbert space H and a (bounded) selfadjoint operator B acting...
If H is a Hilbert space, S is a closed subspace of H, and A is a positive bounded linear operator on...
AbstractIn this paper, our main objective is to study the effect of appending/deleting a column/row ...
In this article, we study some geometric properties like parallelism, orthogonality, and semirotundi...
In this article, we study some geometric properties like parallelism, orthogonality, and semirotundi...
Consider an operator A :H→K between Hilbert spaces and closed subspaces S ⊂ H and T ⊂ K. If there ex...
Given a closed subspace S of a Hilbert space H and a (bounded) selfadjoint operator B acting on H, a...
Given a closed subspace S of a Hilbert space H and a (bounded) selfadjoint operator B acting on H, a...
AbstractThe shorted operator defined by Mitra and Puri [10] and the generalized Schur complement of ...
An almost Pontryagin space can be written as the direct and orthogonal sum of a Hilbert space, a fin...
Let A be a selfadjoint operator and P be an orthogonal projection both operating on a Hilbert space ...