We have been thinking also about the possibility of getting a direct proof of Invariant Approximation Property for amenable groups that uses some averaging procedure and does not use von Neumann algebras as in John Roe ...

For a bounded right linear operators A, in a right quaternionic Hilbert space V R H , following the complex formalism, we study the Berbe rian extension A◦, which is an extension of A in a right quaternionic Hilbert space ...

In recent years, modifications of the classical Lindley distribution have been considered by many authors. In this paper, we introduce a new generalization of the Lindley distribution based on a mixture of exponential and ...

The purpose of this paper is to provide an illustration of an interest ing and nontrivial interaction between analytic and geometric properties of a group. We prove that the Crystallographic groups need not be weak amenable.

The use of description length principles to select an appropriate number of basis functions for functional data is investigated. A flexible definition of the dimension of a random function that is constructed directly from ...

A general theory of frames on finite dimensional quaternion Hilbert spaces is demonstrated along the lines of their complex counterpart. In this paper we established the frame decomposition theorem for quaternion Hilbert ...

We provide simple necessary, and sufficient conditions for a local minimizer to be a global minimizer of quadratic functions with mixed variables. We fully distinguish global minimizers from local minimizers in the case ...

We develop a novel, nonlinear structured population model for the slug Deroceras reticulatum, a highly significant agricultural pest of great economic impact, in both organic and non-organic settings. In the absence of ...

Six years ago, by using operator techniques and path-integral methods, it was shown that the complex non-Hermitian PT-symmetric Hamiltonian p2-gx4 is equivalent to a conventional Hermitian Hamiltonian p2+4gx4-2 √gx. Further ...

Advancement of life entailed some negatives that threatened the very lives of the people, prone to some dangerous diseases and among them diabetes is becoming more serious and alarming in the world and Sri Lanka too has ...