A Natural Weak Limit Space with Admissible Representation which is not a Limit Space

Menger probabilistic normed space is a category topological vector space

In this paper, we formalize the Menger probabilistic normed space as a category in which its objects are the Menger probabilistic normed spaces and its morphisms are fuzzy continuous operators. Then, we show that the category of probabilistic normed spaces is isomorphicly a subcategory of the category of topological vector spaces. So, we can easily apply the results of topological vector spaces...

A not on modular hyperconvex space

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 $L^2(G)$ related to...

Near-flat space limit and Einstein manifolds

We study the near-flat space limit for strings on AdS5 × M5, where the internal manifold M5 is equipped with a generic metric with U(1)3 isometry. In the bosonic sector, the limiting sigma model is similar to the one found for AdS5 × S5, as the global symmetries are reduced in the most general case. When M5 is a SasakiEinstein space like T 1,1, Y p,q and Lp,q,r, whose dual CFT’s have N = 1 supe...

When is the standard domain representation of a quotient space admissible?