Add to ORKGCharges μ taking values in a field F and defined on orthomodular partially ordered sets (logics) of all projectors in some finite-dimensional linear space over F are considered. In the cases where F is the field of rational numbers or a residue field, the Gleason representation μ(P) = tr(T μP), where T μ is a linear operator, is proved. © 1999 Kluwcr Academic/Plenum Publishers
We consider linear problems in fields, ordered fields, discretely valued fields (with finite residue...
AbstractThe Gleason-Pierce theorem characterizes those fields for which formally self-dual divisible...
The postulates of quantum theory are rather abstract in comparison with those of other physical theo...
Charges μ taking values in a field F and defined on orthomodular partially ordered sets (logics) of ...
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...
AbstractGleason's theorem states that any totally additive measure on the closed subspaces, or proje...
This paper aims to present Gleason’s theorem and a full proof, by the most elementary methods of ana...
International audienceLet p be a prime number and let q = p(r). If C and D are large subsets of F-q(...
The probelm of generalizing Gleason’s theorem to the non separable case arose in correspondence with...
AbstractLet K be any field which may not be algebraically closed, V a finite-dimensional vector spac...
This paper is primarily concerned with the fundamental properties of a linear algebra of finite orde...
Let L/K be a finite extension of fields, with n = [L: K]. We will associate to this extension two im...
The previous two parts of the paper demonstrate that the interpretation of Fermat’s last theorem (FL...
This thesis concerns the study of the density of rational and algebraic points in the transcendental...
We consider linear problems in fields, ordered fields, discretely valued fields (with finite residue...
AbstractThe Gleason-Pierce theorem characterizes those fields for which formally self-dual divisible...
The postulates of quantum theory are rather abstract in comparison with those of other physical theo...
Charges μ taking values in a field F and defined on orthomodular partially ordered sets (logics) of ...
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...
AbstractGleason's theorem states that any totally additive measure on the closed subspaces, or proje...
This paper aims to present Gleason’s theorem and a full proof, by the most elementary methods of ana...
International audienceLet p be a prime number and let q = p(r). If C and D are large subsets of F-q(...
The probelm of generalizing Gleason’s theorem to the non separable case arose in correspondence with...
AbstractLet K be any field which may not be algebraically closed, V a finite-dimensional vector spac...
This paper is primarily concerned with the fundamental properties of a linear algebra of finite orde...
Let L/K be a finite extension of fields, with n = [L: K]. We will associate to this extension two im...
The previous two parts of the paper demonstrate that the interpretation of Fermat’s last theorem (FL...
This thesis concerns the study of the density of rational and algebraic points in the transcendental...
We consider linear problems in fields, ordered fields, discretely valued fields (with finite residue...
AbstractThe Gleason-Pierce theorem characterizes those fields for which formally self-dual divisible...
The postulates of quantum theory are rather abstract in comparison with those of other physical theo...