The Markov process determined by a weighted composition operator
We show that every subspace of finite codimension of the space C[0,1] is extremal with respect to the minimal displacement problem.
We give a lower bound for the minimal displacement characteristic in the space l ∞.
We introduce the minimal operator on weighted grand Lebesgue spaces, discuss some weighted norm inequalities and characterize the conditions under which the inequalities hold. We also prove that the John-Nirenberg inequalities in the framework of weighted grand Lebesgue spaces are valid provided that the weight function belongs to the Muckenhoupt class.
A study is made of a symmetric functional calculus for a system of bounded linear operators acting on a Banach space. Finite real linear combinations of the operators have real spectra, but the operators do not necessarily commute with each other. Analytic functions of the operators are formed by using functions taking their values in a Clifford algebra.
This paper discusses the notion, the properties and the application of multicores, i.e. some compact sets contained in metric spaces.