Contraction semi-groups in a function space

Realization of a Certain Class of Semi-Groups as Value Semi-Groups of Valuations

On Semi-Groups of Selfadjoint Transformations in Hilbert Space.

In a paper dealing with the representations of Lie groups by linear transformations in the n-dimensional and Hilbert space,' I have obtained the following particular result: Let Ht (c < t < co) be afamily of bounded selfadjoint transformations in Hilbert space i,? forming a group, i.e., Ho = E (the identical transformation), HtHs = Ht + s Suppose that (for every element f in O) the numerical fu...

Abstract structure of partial function $*$-algebras over semi-direct product of locally compact groups

This article presents a unified approach to the abstract notions of partial convolution and involution in $L^p$-function spaces over semi-direct product of locally compact groups. Let $H$ and $K$ be locally compact groups and $tau:Hto Aut(K)$ be a continuous homomorphism.  Let $G_tau=Hltimes_tau K$ be the semi-direct product of $H$ and $K$ with respect to $tau$. We define left and right $tau$-c...

Dynamical distance as a semi-metric on nuclear conguration space

In this paper, we introduce the concept of dynamical distance on a nuclear conguration space. We partition the nuclear conguration space into disjoint classes. This classification coincides with the classical partitioning of molecular systems via the concept of conjugacy of dynamical systems. It gives a quantitative criterion to distinguish dierent molecular structures.

Vector Space semi-Cayley Graphs

The original aim of this paper is to construct a graph associated to a vector space. By inspiration of the classical definition for the Cayley graph related to a group we define Cayley graph of a vector space. The vector space Cayley graph ${rm Cay(mathcal{V},S)}$ is a graph with the vertex set the whole vectors of the vector space $mathcal{V}$ and two vectors $v_1,v_2$ join by an edge whenever...