Interpolation with a parameter function and integrable function spaces with respect to vector measures

a comparison of teachers and supervisors, with respect to teacher efficacy and reflection

supervisors play an undeniable role in training teachers, before starting their professional experience by preparing them, at the initial years of their teaching by checking their work within the proper framework, and later on during their teaching by assessing their progress. but surprisingly, exploring their attributes, professional demands, and qualifications has remained a neglected theme i...

compactifications and function spaces on weighted semigruops

chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...

SPACES OF INTEGRABLE FUNCTIONS WITH RESPECT TO VECTOR MEASURES OF CONVEX RANGE AND FACTORIZATION OF OPERATORS FROM Lp-SPACES

Let (Ω,Σ) be a measurable space and let X be a Banach space. Throughout this paper G will be a countably additive vector measure G : Σ → X. Consider the space L1(G) of (classes of real) G-integrable functions, following the definition of Bartle, Dunford and Schwartz [1] and Lewis [9]. The properties of this space have been studied by Kluvánek and Knowles [7], Okada [10] and Curbera [2]. In the ...

Integration with Respect to a Vector Measure and Function Approximation

The integration with respect to a vector measure may be applied in order to approximate a function in a Hilbert space by means of a finite orthogonal sequence {fi} attending to two different error criterions. In particular, if ∈ R is a Lebesgue measurable set, f ∈ L2( ), and {Ai} is a finite family of disjoint subsets of , we can obtain a measure μ0 and an approximation f0 satisfying the follow...

Decision criteria in risk analysis : an application of stochastic dominance with respect to a function