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Multivalued linear projections
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: R.W. Cross D.L. WilcoxA multivalued linear projection operator P defined on linear space X is a multivalued linear operator which is idempotent and has invariant domain. We show that a multivalued projection can be characterised in terms of a pair of subspaces and... -
The Dual Space of an Asymmetric Normed Linear Space
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: L.M. García-Raffi Romaguera Sanchez-PérezGiven an asymmetric normed linear space (X, q), we construct and study its dual space (X ∗ , q ∗). In particular, we show that (X ∗ , q ∗) is a biBanach semilinear space and prove that (X, q)... -
On Frobenius, Mazur, and Gelfand-Mazur theorems on division algebras
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: VictorM. BogdanThe main purpose of this paper is to introduce the reader to the theory of normed division algebras. It is written with a graduate student of mathematics in mind, who only had exposure to Advanced Calculus and to an introduction... -
On the Mappings Preserving Equality of 2-Distance
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Wei-Jia Jia* --- School of Mathematics Science, P.R. ChinaIn this paper, we consider 2-isometries, 2-continuous mappings and mappings preserving equality of 2-distance and investigate the relation between the three mappings in linear 2-normed spaces. We prove that if f: E → F is a mapping preserving equality of... -
UG-Differentiability Entails Hahn-Banach
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Marianne Morillon --- ERMIT, Département de Mathématiques et Informatique, FranceDenoting by ACN the countable axiom of choice, we show in ZF+AC N that the dual ball of a uniformly Gâteaux-differentiable normed space is compact in the weak* topology.In ZF, we prove that this dual ball is (closely) convex-compact in... -
A lottery incentive system to facilitate dialogue and social support for workplace HIV counselling and testing: A qualitative inquiry
Item type: Journal Article • Journal: SAHARA-J: Journal of Social Aspects of HIV/AIDS • Authors: Martin Weihs --- , South Africa Anna Meyer-Weitz --- , , South AfricaDespite South African mid-sized companies' efforts to offer HIV counselling and testing (HCT) in the workplace, companies report relatively poor uptake rates. An urgent need for a range of different interventions aimed at increasing participation in workplace HCT has been... -
Rethinking HIV-prevention for school-going young people based on current behaviour patterns
Item type: Journal Article • Journal: SAHARA-J: Journal of Social Aspects of HIV/AIDS • Authors: Maretha Visser --- , , South AfricaThe aim of the research was to gain increased knowledge regarding the sexual risk behaviour of school-going young people in South Africa after two decades of HIV-education in schools, to contribute to the development of improved HIV prevention strategies. In... -
Stone-Weierstrass approximation revisited
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Anatoly G. Kusraev --- Southern Mathematical Institute of the Vladikavkaz Science Center of the Russian Academy of Sciences, Russia Semën S. Kutateladze --- Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, RussiaThe aim of the present article is to extend the Stone-Weierstrass theorem to functions ranging in a lattice normed space and admitting order rather than topological approximation. We proceed with the machinery of Boolean-valued transfer from lattice normed space to...
