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Most read

This page lists the top ten most read articles for this journal based on the number of full text views and downloads recorded on Cambridge Core over the last 30 days. This list is updated on a daily basis.

Contents
  • TRACE INEQUALITIES FOR MATRICES
  • KHALID SHEBRAWI, HUSSIEN ALBADAWI
  • Published online by Cambridge University Press: 02 August 2012, pp. 139-148
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    Trace inequalities for sums and products of matrices are presented. Relations between the given inequalities and earlier results are discussed. Among other inequalities, it is shown that if A and B are positive semidefinite matrices then for any positive integer k.

  • Enlargeable Banach-Lie algebras and free topological groups
  • Vladimir G. Pestov
  • Published online by Cambridge University Press: 17 April 2009, pp. 13-22
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    We characterise in terms of free topological groups those Banach-Lie algebras with finite-dimensional centre coming from Lie groups.

  • The determinant of the sum of two matrices
  • Chi-Kwong Li, Roy Mathias
  • Published online by Cambridge University Press: 17 April 2009, pp. 425-429
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    Let A and B be n × n matrices over the real or complex field. Lower and upper bounds for |det(A + B)| are given in terms of the singular values of A and B. Extension of our techniques to estimate |f(A + B)| for other scalar-valued functions f on matrices is also considered.

  • Multifunctions of Souslin type: Corrigendum
  • S.J. Leese
  • Published online by Cambridge University Press: 17 April 2009, pp. 159-160
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    In [1], Theorem 6, a sufficient condition is given for a multifunction to be “of Souslin type”. However, the proof contains an error; we are required to prove that the multifunction Ω: S→ P×NN defined by

    has values which are closed subsets of P×NN (the notation is explained in [1]). The “proof” of this fact given in [1] is manifestly incorrect as it appears to assume that NN has the discrete topology.

  • A determinant for rectangular matrices
  • V.N. Joshi
  • Published online by Cambridge University Press: 17 April 2009, pp. 137-146
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    The familiar notion of the determinant is generalised to include rectangular matrices. An expression for a normalised generalised inverse of a matrix is given in terms of its determinant and a possible generalisation of the Schur complement is discussed as a simple application.

  • Convolution properties of a class of bounded analytic functions
  • Zou Zhongzhu, Shigeyoshi Owa
  • Published online by Cambridge University Press: 17 April 2009, pp. 9-23
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    Let A be the class of functions f(z) which are analytic in the unit disk U with f(0) = f′(0) - 1 = 0. A subclass S(λ, M) (λ > 0, M > 0) of A is introduced. The object of the present paper is to prove some interesting convolution properties of functions f(z) belonging to the class S(λ, M). Also a certain integral operator J for f(z) in the class A is considered.

  • Hereditary and strict domains for radical classes of associative rings
  • N.R. McConnell
  • Published online by Cambridge University Press: 17 April 2009, pp. 255-269
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    We generalise some existing results on strict radical classes, and introduce some new notions of hereditariness of radical classes. This is achieved by considering the classes of rings for which a radical class is hereditary and/or strict (in the general sense).

  • INEQUALITIES IN TERMS OF THE GÂTEAUX DERIVATIVES FOR CONVEX FUNCTIONS ON LINEAR SPACES WITH APPLICATIONS
  • S. S. DRAGOMIR
  • Published online by Cambridge University Press: 07 February 2011, pp. 500-517
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    Some inequalities in terms of the Gâteaux derivatives related to Jensen’s inequality for convex functions defined on linear spaces are given. Applications for norms, mean f-deviations and f-divergence measures are provided as well.

  • Locally dyadic topological groups
  • Joan Cleary, Sidney A. Morris
  • Published online by Cambridge University Press: 17 April 2009, pp. 417-419
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    A topological space is said to be locally dyadic if every neighbourhood of a point contains a dyadic neighbourhood of that point. It is proved here that every locally compact Hausdorff topological group is locally dyadic.

  • On groups admitting a noncyclic abelian automorphism group
  • J.N. Ward
  • Published online by Cambridge University Press: 17 April 2009, pp. 363-366
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    It is shown that a condition of Kurzwell concerning fixed-points of certain operators on a finite group G is sufficient to ensure that G is soluble. The result generalizes those of Martineau on elementary abelian fixed-point-free operator groups.