1,355,775 research outputs found
Set-valued Brownian motion
No full textBrownian motions, martingales, and Wiener processes are introduced and
studied for set valued functions taking values in the subfamily of compact convex
subsets of arbitrary Banach spaces X. The present paper is an application of the paper
(Labuschagne et al. in Quaest Math 30(3):285–308, 2007) in which an embedding
result is obtained which considers also the ordered structure of the family of compact convex subsets of a Banach space X and of Grobler and Labuschagne (J Math Anal
Appl 423(1):797–819, 2015; J Math Anal Appl 423(1):820–833, 2015) in which these
processes are considered in f-algebras.Moreover, in the space of continuous functions
defined on a Stonian space, a direct Levy’s result follows
Invariant subspaces for H2 spaces of σ-finite algebras
No full textWe show that a Beurling type theory of invariant subspaces of noncommutative H
2
spaces
holds true in the setting of subdiagonal subalgebras of σ-finite von Neumann algebras. This
extends earlier work by Blecher and Labuschagne on finite algebras, and complements more
recent contributions in this regard by Bekjan and Chen, Hadwin and Shen in the finite setting,
and Sager in the semifinite setting.
We also introduce the notion of an analytically conditioned algebra, and go on to show that
in the class of analytically conditioned algebras this Beurling type theory is part of a list of
properties which all turn out to be equivalent to the maximal subdiagonality of the given algebra.
This list includes a Gleason–Whitney type theorem, as well the pairing of the unique normal
state extension property and an L
2
density conditio
Labuschagne 1
No full textThe structuralism of Da Saussure, In which language Is regarded as a communicative phenomenon only, had to resolve In the type of Ideology held by the post-structuralist Derrida. The moment language Is severed from the individual there can also be no firm foundation for meaning. The linguistics of Prof. F.J. Labuschagne in which language is primarily seen as originating with the individual gives a logical alternative to the structuralist viewpoint
The Intertextual Relationship between Isaiah 65,25 and Isaiah 11,6-9
No full textJ.T.A.G.M. van Ruiten, “The Intertextual Relationship between Isaiah 65,25 and Isaiah 11,6-9,” in The Scriptures and the Scrolls: Studies in Honour of A.S. van der Woude on the Occasion of His 65th Birthday (ed. F. García Martínez, A. Hilhorst, and C.J. Labuschagne; Supplements to Vetus Testamentum 49; Leiden, New York, and Köln: Brill, 1992), 31-42
The Intertextual Relationship between Isaiah 65,25 and Isaiah 11,6-9
No full textJ.T.A.G.M. van Ruiten, “The Intertextual Relationship between Isaiah 65,25 and Isaiah 11,6-9,” in The Scriptures and the Scrolls: Studies in Honour of A.S. van der Woude on the Occasion of His 65th Birthday (ed. F. García Martínez, A. Hilhorst, and C.J. Labuschagne; Supplements to Vetus Testamentum 49; Leiden, New York, and Köln: Brill, 1992), 31-42
The Intertextual Relationship between Isaiah 65,25 and Isaiah 11,6-9
No full textJ.T.A.G.M. van Ruiten, “The Intertextual Relationship between Isaiah 65,25 and Isaiah 11,6-9,” in The Scriptures and the Scrolls: Studies in Honour of A.S. van der Woude on the Occasion of His 65th Birthday (ed. F. García Martínez, A. Hilhorst, and C.J. Labuschagne; Supplements to Vetus Testamentum 49; Leiden, New York, and Köln: Brill, 1992), 31-42.
The Intertextual Relationship between Isaiah 65,25 and Isaiah 11,6-9
No full textJ.T.A.G.M. van Ruiten, “The Intertextual Relationship between Isaiah 65,25 and Isaiah 11,6-9,” in The Scriptures and the Scrolls: Studies in Honour of A.S. van der Woude on the Occasion of His 65th Birthday (ed. F. García Martínez, A. Hilhorst, and C.J. Labuschagne; Supplements to Vetus Testamentum 49; Leiden, New York, and Köln: Brill, 1992), 31-42
Rehabilitation for Cas Labuschagne : good enough, timely enough?
No full textDATA BESKIKBAARHEIDSVERKLARING : Datadeling is nie van toepassing nie, aangesien geen nuwe
data in die studie geskep of ontleed is nie.This research is part of the project, ‘Contextualized Reformed Theology in South Africa’, directed by Dr Andre Ungerer of the Reformed Theological College, Faculty of Theology, University of Pretoria.Special Collection: Wim Dreyer Dedication, sub-edited by Jaco Beyers (University of Pretoria, South Africa).During the General
Church Assembly of 2010, the Netherdutch Reformed Church of Africa (NRCA) confessed her
previous justification of apartheid as wrongdoing. It led to serious dissatisfaction in the more
conservative part of the Church, eventually ending in the painful church schism of 2011.
Afterwards, the leadership had to handle several related issues. And then, out of the blue, an
outstanding matter arose from the past’s nebulae – unfinished business between the Church
and prof. Cas Labuschagne. He was a dissident with prof. Albert Geyser who acted against
the church’s justification of apartheid during the sixties. After a fierce struggle and much
desperation, he left South Africa for the Netherlands in 1967. Almost 40 years later, in 2008,
correspondence occurred between the NRCA and Labuschagne to see if reconciliation was possible,
but without any positive results. Labuschagne distrusted the Church’s motives and argued that
only a public excuse would settle matters. Due to the run-up to the decision in 2010 and the
church schism in 2011, the case gathered some cyber dust. Professors A.G. van Aarde, J.
Buitendag and W.A. Dreyer played a prominent role in bringing the outstanding matter of Cas
Labuschagne to the attention of the author of this article. It led to a visit in 2017 and more
correspondence to clarify issues. Eventually, reconciliation had occurred only a few months
before he died in 2019.
CONTRIBUTION : This article contributes to revealing an untold story in which different leaders
of the NRCA played a prominent role. It is about a struggle for reconciliation, events behind
the scenes, and a story with a good end – events the church and the academic community
should know about.http://www.hts.org.zaam2024Reformed Theological CollegeNon
A note on the Banach space of preregular maps
No full textThe aim of this paper is to give simple proofs for Jeurnink's characterizations of preregular maps in terms of Θ-maps acting between Banach lattices. For Banach lattices E and F, we achieve our goal by considering the space Lβ(E, F) of all those linear maps T: E → F for which there exists a constant K such that {double pipe}Vn i=1 {pipe}Txi{pipe} ≤ K {double pipe}Vn i=1{pipe}xi for all finite sequences x1, ..., xn e{open}E. We show that, if Lβ(E; F), and the spaces L Θ (E; F) of Θ -map and Lpr(E; F) of preregular maps are respectively endowed with their canonical norms, then they are identical Banach space
Solvability of a hybrid model for a vertical slender structure
No full textLabuschagne, A., Van Rensburg, N. F. J., & Van Der Merwe, A. J. (2009). "Solvability of a Hybrid Model for a Vertical Slender Structure". - The definitive, peer-reviewed and edited version of this article is published in Journal of Numerical Analysis, Industrial and Applied Mathematics (JNAIAM), International Conference of Numerical Analysis and Applied Mathematics (Vol. 936, No. 1, pp. 328-331). ISSN 1790–8140.We consider the solvability of a hybrid model for the vibration of a vertical
slender structure mounted on an elastic seating. The slender structure is modeled as a
Rayleigh beam and gravity is taken into account. The seating and foundation block are
modeled as rigid bodies connected by elastic springs with damping mechanisms. We show
how an existence result for a general linear vibration problem in variational form may be
applied to the weak variational problem for this system
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