Probabilistic norms and statistical convergence of random variables
Journal Title: Surveys in Mathematics and its Applications - Year 2009, Vol 4, Issue 0
Abstract
The paper extends certain stochastic convergence of sequences of <B>R<SUP>k</SUP></B> -valued random variables (namely, the convergence in probability, in L<SUP>p</SUP> and almost surely) to the context of E-valued random variables.
Authors and Affiliations
Mohamad Rafi Segi Rahmat , Bernardo Lafuerza-Guillén
Higher *-derivations between unital C*-algebras
Let A, B be two unital C<SUP>*</SUP>-algebras. We prove that every sequence of mappings from A into B, H = {h<SUB>0</SUB>,h<SUB>1</SUB>, ..., h<SUB>m</SUB>, ...}, which sat...
Fixed points for multivalued contractions on a metric space
The purpose of this paper is to prove a fixed point theorem for multivalued operators and a fixed point theorem for multivalued weakly Picard operators in the terms of τ -distance.
Existence and nonexistence results for second-order Neumann boundary value problem
In this paper some existence and nonexistence results for positive solutions are obtained for second-order boundary value problem <CENTER>-u"+Mu=f(t,u), t∈(0,1) </CENTER>with Neumann boundary conditions <C...
A Functional Calculus for Quotient Bounded Operators
If <I>(X, P)</I> is a sequentially locally convex space, then a quotient bounded operator <I>T</I> beloging to <I>Q<SUB>P</SUB></I> is regular (in the sense of Waelbroeck)...
Shock Waves in Gas Dynamics
Shock wave theory was studied in literature by many authors. This article presents a survey with references about various topics related to shock waves: Hyperbolic conservation laws, Well-posedness theory, Compactness th...