Let (X(t), t ≥ (0) with X(0) = 0 be a stable subordinator with index 0 < α < 1 and let (tk) be an increasing sequence such that tk+1/tk → ∞ as k → ∞. Let (at) be a positive nondecreasing function of t such that a(t)/t ...

We revisit the definition of the tensor integrability introduced in [1], and prove some useful characterizations that provide a foundation for studying relevant properties to the integration theory. As applications, we ...

We study semi-parallel lightlike hypersurfaces of an indefinite Kenmotsu manifold, tangent to the structure vector field. Some Theorems on parallel and semi-parallel vector field, geodesibility of lightlike hypersurfaces ...

We introduce the notion of summable bases that naturally generalizes the notion of unconditional sequence bases for Banach spaces. We shall be particularly interested in some classical results on sequences and series in ...

In this note, we propose a more efficient approach to the definition of the integral of Banach-valued functions that enables us to give an improved version of the Orlicz-Pettis theorem for integrals.

We present a Riesz representation theorem in the setting of extended integration theory as introduced in [6]. The result is used to obtain boundedness theorems for integral operators in the more general setting of spaces ...

A definitive positive answer to the so-called proper subspace problem (a.k.a. the atomic space problem) for quasi-normed spaces is given: every infinite dimensional quasi-normed space has a proper closed infinite-dimensional ...

This paper is a critical examination of Anglican-Roman Catholic bilateral relations from a theological perspective. The main argument of the paper is that while the Anglican and Roman Catholic Churches consider themselves ...

The principle of open justice is a central tenet of the administration of justicein Botswana. Open justice requires that, as a general rule, courts of lawmust conduct their business publicly unless this could result in ...

Botswana was amongst the first African countries to introduce universal access to HIV testing through voluntary counseling and testing (VCT) and routine HIV testing (RHT). However, despite years of the implementation of ...