If T is a bounded linear operator on Hilbert space H and V given isometry K, we present necessary sufficient conditions in order to ensure the existence of π:H→K such that πT=V*π (i.e., (π,V*) extends T). We parametrize set all solutions π this equation. show, for example, unitary U E multiplication by independent variable Mz Hardy HD2(D), there exists an isometric π:H→E⊕HD2(D) (π,(U⊕Mz)*) if o...

A three-year prospective, longitudinal, multi-school study was undertaken to investigate if either handedness, eyedness, their same or opposite side status (unilateral or crossed hand-eye dominance) was related to specific aspects of elementary school academic performance. Some 540 subjects, in 1 through 5 grades comprised the initial group. Testing on the reading sub-test of the Iowa Test of B...

PLS regression is a recent technique that generalizes and combines features from principal component analysis and multiple regression. Its goal is to predict or analyze a set of dependent variables from a set of independent variables or predictors. This prediction is achieved by extracting from the predictors a set of orthogonal factors called latent variables which have the best predictive pow...

Structural equation modelling (SEM) is now a popular technique in the social, behavioural and business sciences for exploring and assessing complex linear relationships among many variables, in particular between endogenous and exogenous latent variables that cannot be directly observed but that must be inferred by means of manifest indicator variables, that is variables measured without error....