AbstractConsider the order interval of operators [0, A] = {X|0 ≤ X ≤ A}. In finite dimensions (or if A is invertible) then the extreme points of [0, A] are the shorted operators (generalized Schur complements) of A. This is false in the general infinite dimensional case. We give an example arising from the discretization of the biharmonic equation. We also give necessary and sufficient conditions for an extreme point X0 to be a short of A
(This is joint work with Robert T. W. Martin.) We introduce a family of multipliers on the Drury-Arv...
This article is concerned with characterizing the first extremal point, b0, for a Riemann–Liouville ...
AbstractGiven a closed subspace S of a Hilbert space H and a (bounded) selfadjoint operator B acting...
AbstractWe determine the extreme points and exposed points of the convex set of positive semidefinit...
AbstractIn the truncated classical moment problems, the set of all solutions constitutes a convex se...
AbstractThis paper presents results about positive definite doubly stochastic matrices, in particula...
We explore extreme contractions on finite-dimensional polygonal Banach spaces, from the point of vie...
AbstractOn nested fractals a “Laplacian” can be constructed as a scaled limit of difference operator...
In this paper we completely characterize the norm attainment set of a bounded linear operator betwee...
We study the extreme points of the unit ball of a Banach space that remain extreme when considered, ...
Summary. Our goal in this paper is to illustrate how the representation theorems for finite interval...
We investigate Banach lattices on which each positive almost Dunford-Pettis operator is almost limit...
AbstractA compact operator in a separable Hilbert space is of infinite order if it does not belong t...
We describe the Krein-von Neumann extension of minimal operator associated with the expression [form...
From the fact that the two-dimensional moment problem is not always solvable, one can deduce that th...
(This is joint work with Robert T. W. Martin.) We introduce a family of multipliers on the Drury-Arv...
This article is concerned with characterizing the first extremal point, b0, for a Riemann–Liouville ...
AbstractGiven a closed subspace S of a Hilbert space H and a (bounded) selfadjoint operator B acting...
AbstractWe determine the extreme points and exposed points of the convex set of positive semidefinit...
AbstractIn the truncated classical moment problems, the set of all solutions constitutes a convex se...
AbstractThis paper presents results about positive definite doubly stochastic matrices, in particula...
We explore extreme contractions on finite-dimensional polygonal Banach spaces, from the point of vie...
AbstractOn nested fractals a “Laplacian” can be constructed as a scaled limit of difference operator...
In this paper we completely characterize the norm attainment set of a bounded linear operator betwee...
We study the extreme points of the unit ball of a Banach space that remain extreme when considered, ...
Summary. Our goal in this paper is to illustrate how the representation theorems for finite interval...
We investigate Banach lattices on which each positive almost Dunford-Pettis operator is almost limit...
AbstractA compact operator in a separable Hilbert space is of infinite order if it does not belong t...
We describe the Krein-von Neumann extension of minimal operator associated with the expression [form...
From the fact that the two-dimensional moment problem is not always solvable, one can deduce that th...
(This is joint work with Robert T. W. Martin.) We introduce a family of multipliers on the Drury-Arv...
This article is concerned with characterizing the first extremal point, b0, for a Riemann–Liouville ...
AbstractGiven a closed subspace S of a Hilbert space H and a (bounded) selfadjoint operator B acting...
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