Add to ORKGThe author proves that the closed convex cones in a Hilbert space form an ortholattice (with the ordering by inclusion and orthocomplement defined as the mapping to the dual cone). The consequences for the orthogonal projections (i.e., mappings to the closest point of the cone) are discussed. The respective orthomodularity (known from the most important special case of closed linear subspaces) need not holdVytauto Didžiojo universitetasŠvietimo akademij
Let k be a fixed natural number. In an earlier paper the authors show that if C is a closed and nonc...
We prove that under some topological assumptions (e.g. if M has nonempty interior in X), a convex co...
AbstractThe asymptotic duality theory of linear programming over closed convex cones [4] is extended...
AbstractGiven a closed convex cone C in a Hilbert space H, we investigate the function which assigns...
Assume H is a Hilbert space and K is a dense linear (not necessarily closed) subspace. The question ...
Beginning with Birkhoff and von Neumann [4], a central theme in quantum logic is to consider general...
The method of alternating projections (MAP) is a common method for solving feasibility prob-lems. Wh...
A mathematical model for conjectures (including hypotheses, consequences and speculations), was rece...
In this paper we study a class of convex sets which are called closed pseudo-cones and study a new d...
Suppose T is a continuous linear operator between two Hilbert spaces X and Y and let K be a closed ...
Suppose T is a continuous linear operator between two Hilbert spaces X and Y and let K be a closed c...
AbstractDuality relationships in finding a best approximation from a nonconvex cone in a normed line...
Let k be a fixed natural number. In an earlier paper the authors show that if C is a closed and nonc...
Given a Hilbert space $H$, the set $P(H)$ of one-dimensional subspaces of $H$ becomes an orthoset wh...
With the emergence of quantum mechanics early in this last century, the demand for a mathematical fo...
Let k be a fixed natural number. In an earlier paper the authors show that if C is a closed and nonc...
We prove that under some topological assumptions (e.g. if M has nonempty interior in X), a convex co...
AbstractThe asymptotic duality theory of linear programming over closed convex cones [4] is extended...
AbstractGiven a closed convex cone C in a Hilbert space H, we investigate the function which assigns...
Assume H is a Hilbert space and K is a dense linear (not necessarily closed) subspace. The question ...
Beginning with Birkhoff and von Neumann [4], a central theme in quantum logic is to consider general...
The method of alternating projections (MAP) is a common method for solving feasibility prob-lems. Wh...
A mathematical model for conjectures (including hypotheses, consequences and speculations), was rece...
In this paper we study a class of convex sets which are called closed pseudo-cones and study a new d...
Suppose T is a continuous linear operator between two Hilbert spaces X and Y and let K be a closed ...
Suppose T is a continuous linear operator between two Hilbert spaces X and Y and let K be a closed c...
AbstractDuality relationships in finding a best approximation from a nonconvex cone in a normed line...
Let k be a fixed natural number. In an earlier paper the authors show that if C is a closed and nonc...
Given a Hilbert space $H$, the set $P(H)$ of one-dimensional subspaces of $H$ becomes an orthoset wh...
With the emergence of quantum mechanics early in this last century, the demand for a mathematical fo...
Let k be a fixed natural number. In an earlier paper the authors show that if C is a closed and nonc...
We prove that under some topological assumptions (e.g. if M has nonempty interior in X), a convex co...
AbstractThe asymptotic duality theory of linear programming over closed convex cones [4] is extended...