Search Results - "Brits, R."
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1
Locating multiple optima using particle swarm optimization
Published in Applied mathematics and computation (15-06-2007)“…Many scientific and engineering applications require optimization methods to find more than one solution to multi-modal optimization problems. This paper…”
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2
Tradeoffs between levelling the reserve margin and minimising production cost in generator maintenance scheduling for regulated power systems
Published in International journal of electrical power & energy systems (01-10-2018)“…•Tradeoffs between the reliability and production cost GMS objectives.•High reliability tends to incur a low production cost.•Dominance-based multi-objective…”
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3
The Shoda-completion of a Banach algebra
Published in Linear & multilinear algebra (04-05-2018)“…In stark contrast to the case of finite rank operators on a Banach space, the socle of a general, complex, semisimple and unital Banach algebra A may exhibit…”
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4
A spectral characterization of isomorphisms on C⋆-algebras
Published in Archiv der Mathematik (2019)“…Following a result of Hatori et al. (J Math Anal Appl 326:281–296, 2007 ), we give here a spectral characterization of an isomorphism from a C ⋆ -algebra onto…”
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5
Uniqueness and spectral variation in Banach algebras
Published in Quaestiones mathematicae (01-06-2013)“…Let A be a complex semisimple Banach algebra with identity. We explore the situation whereby a portion of the elements of A have the same spectrum under…”
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6
A MULTI-OBJECTIVE COAL INVENTORY MANAGEMENT MODEL USING MONTE CARLO COMPUTER SIMULATION
Published in South African journal of industrial engineering (01-12-2016)“…The ability of a coal-fired power station to meet its generation targets is influenced by periods of coal shortage. In this article, we propose a…”
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7
A CORRECTION TO "ADJUGATES IN BANACH ALGEBRAS"
Published in Proceedings of the American Mathematical Society (01-08-2010)“…Let A be a semisimple unital Banach algebra. We show that rank A (ab) = rank A (ba) for all a,b ∈ A if and only if soc(A) is contained in the center of A, and…”
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8
A MODEL TO OPTIMIZE PAYLOADS AT PFG BUILDING GLASS
Published in South African journal of industrial engineering (15-01-2012)“…ENGLISH ABSTRACT: While improving customer service by allowing user definable mixed load orders of their plate glass product, PFG Building Glass was confronted…”
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9
Uniqueness under spectral variation in the socle of a Banach algebra
Published in Journal of mathematical analysis and applications (15-12-2016)“…Let A be a complex semisimple Banach algebra with identity, and denote by σ′(x) and ρ(x) the nonzero spectrum and spectral radius of an element x∈A,…”
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10
A multiplicative Gleason-Kahane-Żelazko theorem for C⋆-algebras
Published in Journal of mathematical analysis and applications (01-08-2021)“…If A is a unital complex Banach algebra, and if σ(a) denotes the spectrum of an element a∈A, then the famous Gleason-Kahane-Żelazko Theorem says that any…”
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Commutators, commutativity and dimension in the socle of a Banach algebra: A generalized Wedderburn–Artin and Shoda's theorem
Published in Linear algebra and its applications (01-11-2015)“…As a follow-up to work done in [7], some new insights to the structure of the socle of a semisimple Banach algebra are obtained. In particular, it is shown…”
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12
The National Credit Act and the bill of rights : towards a constitutional view of consumer credit regulation
Published in Tydskrif vir die Suid-Afrikaanse reg (07-08-2017)“…Disputes surrounding the National Credit Act 34 of 2005 (the act) have already reached the constitutional court on a significant number of occasions. In…”
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13
Identities, approximate identities and topological divisors of zero in Banach algebras
Published in Journal of mathematical analysis and applications (15-11-2017)“…In [3] S.J. Bhatt and H.V. Dedania exposed certain classes of Banach algebras in which every element is a topological divisor of zero. We identify a new…”
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14
Trace characterizations and socle identifications in Banach algebras
Published in Linear algebra and its applications (01-05-2015)“…As a follow-up to a paper of D. Petz and J. Zemánek [1], a number of equivalent conditions which characterize the trace among linear functionals on matrix…”
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15
Supervised training using an unsupervised approach to active learning
Published in Neural processing letters (01-06-2002)“…Active learning algorithms allow neural networks to dynamically take part in the selection of the most informative training patterns. This paper introduces a…”
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16
Rank in Banach algebras: A generalized Cayley–Hamilton theorem
Published in Linear algebra and its applications (15-10-2016)“…Let A be a semisimple Banach algebra with non-trivial, and possibly infinite-dimensional socle. Addressing a problem raised in [5, p. 1399], we first define a…”
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17
A spectral characterization of isomorphisms on $$C^\star $$-algebras
Published in Archiv der Mathematik (01-10-2019)Get full text
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18
Truncation and spectral variation in Banach algebras
Published in Journal of mathematical analysis and applications (01-01-2017)“…Let a and b be elements of a semisimple, complex and unital Banach algebra A. Using subharmonic methods, we show that if the spectral containment σ(ax)⊆σ(bx)…”
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19
ON IDEALS OF GENERALISED INVERTIBLE ELEMENTS IN BANACH ALGEBRAS
Published in Mathematical proceedings of the Royal Irish Academy (01-12-2005)“…We characterise ideals consisting of generalised invertible elements in a semisimple Banach algebra…”
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Sale in execution of property at unreasonably low price indicates abuse of process - Nxazonke v ABSA Bank Ltd
Published in Tydskrif vir hedendaagse Romeins-Hollandse Reg (01-08-2013)“…In the mortgage foreclosure context, the housing clause (s 26) of the Constitution of the Republic of South Africa, 1996 places a duty on courts to analyse all…”
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