5 research outputs found
Admissible Vectors of a Covariant Representation of a Dynamical System
In this paper, we introduce admissible vectors of covariant representations of a dynamical system which are extensions of the usual ones, and compare them with each other. Also, we give some sufficient conditions for a vector to be admissible vector of a covariant pair of a dynamical system. In addition, we show the existence of Parseval frames for some special subspaces of related to a uniform lattice of
Generated topology on infinite sets by ultrafilters
Let be an infinite set, equipped with a topology . In this paper we studied the relationship between , and ultrafilters on . We can discovered, among other thing, some relations of the Robinson's compactness theorem, continuity and the separation axioms. It is important also, aspects of communication between mathematical concepts
On the inclusions of spaces
summary:We give some equivalent conditions (independent from the Young functions) for inclusions between some classes of spaces, where is a Young function and is a quasi-Banach function space on a -finite measure space
On the inclusions of spaces
We give some equivalent conditions (independent from the Young functions) for inclusions between some classes of spaces, where is a Young function and is a quasi-Banach function space on a -finite measure space