We prove an analog of the famous Gleason theorem for additive functions on the orthomodular poset of all projections defined on an n-dimensional linear space over the field consisting of four elements. An essential part of the proof consists in a computer calculation
AbstractLet Vn(q) denote the n-dimensional vector space over the finite field with q elements, and L...
The probelm of generalizing Gleason’s theorem to the non separable case arose in correspondence with...
Hilbert spaces and the projection theorem We now introduce the notion of a projection. Projections a...
We prove an analog of the famous Gleason theorem for additive functions on the orthomodular poset of...
We consider some orthomodular posets which are not lattices and the Gleason-type theorems for signed...
Charges μ taking values in a field F and defined on orthomodular partially ordered sets (logics) of ...
AbstractGleason's theorem states that any totally additive measure on the closed subspaces, or proje...
An analog to the Gleason theorem for measures on logics of projections in indefinite metric spaces i...
AbstractWe will construct a minimal and co-minimal projection from Lp([0,1]n) onto Lp([0,1]n1)+⋯+Lp(...
AbstractLet Kn(F) be the linear space of all n×n alternate matrices over a field F. An operator f : ...
This paper aims to present Gleason’s theorem and a full proof, by the most elementary methods of ana...
The Gleason–Kahane–Żelazko theorem states that a linear functional on a Banach algebra that is non-z...
Abstract. Extended Bergman projections from Lebesgue classes onto all Besov spaces on the unit ball ...
AbstractBurde's theory about p-dimensionalvectorsmodulop (J. Reine Angew. Math. 268/269 (1974) 302–3...
AbstractIn this article we study the Gleason problem locally. A new method for solving the Gleason A...
AbstractLet Vn(q) denote the n-dimensional vector space over the finite field with q elements, and L...
The probelm of generalizing Gleason’s theorem to the non separable case arose in correspondence with...
Hilbert spaces and the projection theorem We now introduce the notion of a projection. Projections a...
We prove an analog of the famous Gleason theorem for additive functions on the orthomodular poset of...
We consider some orthomodular posets which are not lattices and the Gleason-type theorems for signed...
Charges μ taking values in a field F and defined on orthomodular partially ordered sets (logics) of ...
AbstractGleason's theorem states that any totally additive measure on the closed subspaces, or proje...
An analog to the Gleason theorem for measures on logics of projections in indefinite metric spaces i...
AbstractWe will construct a minimal and co-minimal projection from Lp([0,1]n) onto Lp([0,1]n1)+⋯+Lp(...
AbstractLet Kn(F) be the linear space of all n×n alternate matrices over a field F. An operator f : ...
This paper aims to present Gleason’s theorem and a full proof, by the most elementary methods of ana...
The Gleason–Kahane–Żelazko theorem states that a linear functional on a Banach algebra that is non-z...
Abstract. Extended Bergman projections from Lebesgue classes onto all Besov spaces on the unit ball ...
AbstractBurde's theory about p-dimensionalvectorsmodulop (J. Reine Angew. Math. 268/269 (1974) 302–3...
AbstractIn this article we study the Gleason problem locally. A new method for solving the Gleason A...
AbstractLet Vn(q) denote the n-dimensional vector space over the finite field with q elements, and L...
The probelm of generalizing Gleason’s theorem to the non separable case arose in correspondence with...
Hilbert spaces and the projection theorem We now introduce the notion of a projection. Projections a...