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26079 results in Abstract analysis

Page 734 of 1304

  • Note referring to the paper on page 5 of this Volume

  • R. F. Muirhead
  • Journal:
    Proceedings of the Edinburgh Mathematical Society / Volume 18 / February 1900
    Published online by Cambridge University Press:
    20 January 2009, p. 100
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  • PEM volume 2 issue 1 Cover and Back matter

  • Journal:
    Proceedings of the Edinburgh Mathematical Society / Volume 2 / Issue 1 / January 1930
    Published online by Cambridge University Press:
    20 January 2009, pp. b1-b2
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  • Formulae connected with the Radii of the incircle and the excircles of a triangle

  • J. S. Mackay
  • Journal:
    Proceedings of the Edinburgh Mathematical Society / Volume 12 / February 1893
    Published online by Cambridge University Press:
    20 January 2009, pp. 86-105
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  • The notation employed in the following pages is that recommended in a paper of mine on “The Triangle and its Six Scribed Circles”* printed in the first volume of the Proceedings of the Edinburgh Mathematical Society. It may be convenient to repeat all that is necessary for the present purpose.

  • Tensor products of separable reduced primary modules

  • Cary Webb
  • Journal:
    Proceedings of the Edinburgh Mathematical Society / Volume 22 / Issue 1 / February 1979
    Published online by Cambridge University Press:
    20 January 2009, p. 22
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  • R will denote a Dedekind domain and Pone of its prime ideals. A P-primary module will be an R-module all of whose non-zero elements have annihilators that are powers of the prime P. In all that follows E is such a module.

    The height of 0 ≠ x ∈ E will be max{n : x ∈ PnE}. It is denoted by h(x). If this maximum does not exist we will say h(x)∞.

    Clearly the condition is equivalent to E having no non-zero elements of infinite height. Adopting the terminology of (2, Ch. XI) where such modules over the ring of integers are studied, we will call these modules separable and reduced.

  • Principal congruences on distributive double p-algebras

  • Júlia Vaz De Carvalho
  • Journal:
    Proceedings of the Edinburgh Mathematical Society / Volume 39 / Issue 3 / October 1996
    Published online by Cambridge University Press:
    20 January 2009, pp. 491-503
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  • We use Priestley's duality to characterize, via their dual space, the distributive double p-algebras on which all congruences are principal.

  • A moduli space of exotic ℝ4'S

  • Robert E. Gompf
  • Journal:
    Proceedings of the Edinburgh Mathematical Society / Volume 32 / Issue 2 / June 1989
    Published online by Cambridge University Press:
    20 January 2009, pp. 285-289
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  • In 1982, the first exotic ℝ4 was discovered—a smooth manifold homeomorphic to ℝ4, but not diffeomorphic to it. The object shocked topologists by its open defiance of the rules of high-dimensional smoothing theory. The exotic ℝ4 was constructed by connecting the two powerful machines of Freedman [4] and Donaldson [2] to earlier work of Casson [1].

  • Twenty-Seventh Session, 1908–1909

  • Journal:
    Proceedings of the Edinburgh Mathematical Society / Volume 27 / February 1909
    Published online by Cambridge University Press:
    20 January 2009, p. v
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  • Discussion on Euclid's Definition of Proportion

  • Gibson, W. J. Macdonald
  • Journal:
    Proceedings of the Edinburgh Mathematical Society / Volume 16 / February 1897
    Published online by Cambridge University Press:
    20 January 2009, p. 48
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  • A theorem on approximation of irrational numbers by simple continued fractions

  • Jingcheng Tong
  • Journal:
    Proceedings of the Edinburgh Mathematical Society / Volume 31 / Issue 2 / June 1988
    Published online by Cambridge University Press:
    20 January 2009, pp. 197-204
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  • Let ξ be an irrational number with simple continued fraction expansion ξ= [a0;a1,a2,…], Pn/qn be its nth convergent, . The following two theorems were proved by Müller [9] and rediscovered by Bagemihl and McLaughlin [1]:

    Theorem 1.For n>1,

  • Reduction of Singular Pencils of Matrices1

  • W. Ledermann
  • Journal:
    Proceedings of the Edinburgh Mathematical Society / Volume 4 / Issue 2 / January 1935
    Published online by Cambridge University Press:
    20 January 2009, pp. 92-105
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  • Let ρA + σB =[ραμν + σbμν] be a pencil of type m × m′, i.e. with m rows and m′ columns, where A and B are matrices with constant elements which are not mere scalar multiples of each other; and ρ and σ are homogeneous parameters.

  • The Ratio of Incommensurables in Elementary Geometry

  • A. Brown
  • Journal:
    Proceedings of the Edinburgh Mathematical Society / Volume 23 / February 1904
    Published online by Cambridge University Press:
    20 January 2009, p. 99
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  • Similarité entre l'algèbre de Volterra et un quotient d'algèbre uniforme

  • Konin Koua
  • Journal:
    Proceedings of the Edinburgh Mathematical Society / Volume 34 / Issue 3 / October 1991
    Published online by Cambridge University Press:
    20 January 2009, pp. 383-391
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  • Two commutative Banach algebras A and B are said to be similar if there exists a Banach algebra D such that [xD]− = D for some x in D, and two one-to-one continuous homomorphisms φ:D→A and ψ:D→B such that φ(D) is a dense ideal of A and ψ(D) a dense ideal of B.

    We prove in this paper that the Volterra algebra is similar to A0/e-z A0 where A0 is the commutative uniform, separable Banach algebra of all continuous functions on the closed right-hand half plane , analytic on H and vanishing at infinity. We deduce from this result that multiplication by an element of A0/e-z A0 is a compact mapping.

  • Projective resolutions for graph products

  • Daniel E. Cohen
  • Journal:
    Proceedings of the Edinburgh Mathematical Society / Volume 38 / Issue 1 / February 1995
    Published online by Cambridge University Press:
    20 January 2009, pp. 185-188
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  • Let Γ be a finite graph together with a group Gv at each vertex v. The graph productG(Γ) is obtained from the free product of all Gv by factoring out by the normal subgroup generated by for all adjacent v, w.

    In this note we construct a projective resolution for G(Γ) given projective resolutions for each Gv, and obtain some applications.

Page 734 of 1304