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Volume 21 - September 1978

Contents

Page 2 of 2

Research Article

  • A note on the fractional calculus

  • Donald I. Cartwright, John R. McMullen
  • Published online by Cambridge University Press:
    20 January 2009, pp. 79-80
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  • We prove the following theorem, which settles a conjecture made by J. S. Lew (2, p.379).

Obituary

  • Thomas S. Graham

  • R. A. Rankin
  • Published online by Cambridge University Press:
    20 January 2009, pp. 187-188
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Research Article

  • On the strong radical of certain Banach algebras

  • Bertram Yood
  • Published online by Cambridge University Press:
    20 January 2009, pp. 81-85
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  • Let A be a complex Banach algebra. By an ideal in A we mean a two-sided idealunless otherwise specified. As in (7, p. 59) by the strong radical of A we mean theintersection of the modular maximal ideals of A (if there are no such ideals we set =A). Our aim is to discuss the nature of and the relation of to A for a specialclass of Banach algebras. Henceforth A will denote a semi-simple modular annihilatorBanach algebra (one for which the left (right) annihilator of each modular maximalright (left) ideal is not (0)). For the theory of such algebras see (2) and (9).

Obituary

  • Robert P. Gillespie

  • D. Martin
  • Published online by Cambridge University Press:
    20 January 2009, pp. 189-190
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Research Article

  • A theorem on nilpotency in near-rings

  • S. D. Scott
  • Published online by Cambridge University Press:
    20 January 2009, pp. 87-88
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  • Throughout this paper a near-ring N will satisfy the distributive law α(β + γ)=αβ + αγ for all α, β and γ in N. We shall also assume that 0α = 0 for all α in N

    We prove the following theorem.

Front matter

  • PEM volume 21 issue 2 Cover and Front matter

  • Published online by Cambridge University Press:
    20 January 2009, pp. f1-f2
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Book Reviews

  • D. R. J. Chillingworth, Differential Topology with a view to applications (Pitman, 1976), £8·50.

  • M. H. Eggar
  • Published online by Cambridge University Press:
    20 January 2009, p. 89
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Back matter

  • PEM volume 21 issue 2 Cover and Back matter

  • Published online by Cambridge University Press:
    20 January 2009, pp. b1-b7
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Book Reviews

  • T. Poston and I. N. Stewart, Taylor Expansions and Catastrophes (Pitman, 1976), £5·90.

  • M. H. Eggar
  • Published online by Cambridge University Press:
    20 January 2009, p. 89
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  • Olav Kallenberg (editor), Random Measures (Akademie-Verlag and Academic Press, 1977), 104 pp., £6.

  • B. D. Ripley
  • Published online by Cambridge University Press:
    20 January 2009, p. 92
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  • A. U. Kussmaul, Stochastic Integration and Generalized Martingales (Pitman, 1977), xi+163 pp.,£7{00.

  • B. D. Ripley
  • Published online by Cambridge University Press:
    20 January 2009, p. 92
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Front matter

  • PEM volume 21 issue 1 Cover and Front matter

  • Published online by Cambridge University Press:
    20 January 2009, pp. f1-f2
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Page 2 of 2