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Cambridge University Press по журналам "Proceedings of the Edinburgh Mathematical Society"

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  • Edwardes F. E. (Cambridge University Press. Cambridge, UK, 1910-02-01)
    A proof of Dupin's theorem with some simple illustrations of the method employed. Before plunging into Dupin's theorem, I think it well to speak of certain infinitesimal rotations which play a part in the proof. By an ...
  • Boston Nigel; Walker Judy L. (Cambridge University Press. Cambridge, UK, 2000-02-01)
    An old question of Brauer that asks how fast numbers of conjugacy classes grow is investigated by considering the least number cn of conjugacy classes in a group of order 2n. The numbers cn are computed for n ≤ 14 and a ...
  • Lèmeray E. M. (Cambridge University Press. Cambridge, UK, 1897-02-01)
    On est amené à résoudre l'équation aux différences mêlées lorsqu'on cherche, en coordonnées rectangulaires, une courbe telle que: M et M′ étant deux de ses points dont les abscisses différent d'une constante, la tangente ...
  • Weston J. D. (Cambridge University Press. Cambridge, UK, 1958-11-01)
    A Banach space which is not reflexive may or may not be equivalent (in Banach's sense) to an adjoint space. For example, it is an elementary fact that the space (l), though not reflexive, is equivalent to (co)*, where (co) ...
  • Jackson F. H. (Cambridge University Press. Cambridge, UK, 1903-02-01)
    The object of this paper is to introduce certain functions analogous to the circular functions. The functions will be denoted by Formulæ analogous to will be obtained, and the use of the functions in symbolical solutions ...
  • Bavula V. V.; Lenagan T. H. (Cambridge University Press. Cambridge, UK, 1999-06-01)
    Bernstein's famous result, that any non-zero module M over the n-th Weyl algebra An satisfies GKdim(M)≥GKdim(An)/2, does not carry over to arbitrary simple affine algebras, as is shown by an example of McConnell. Bavula ...
  • Huck Günther; Rosebrock Stephan (Cambridge University Press. Cambridge, UK, 1993-10-01)
    The idea of applying isoperimetric functions to group theory is due to M. Gromov [8]. We introduce the concept of a “bicombing of narrow shape” which generalizes the usual notion of bicombing as defined for example in [5], ...
  • Kartsatos Athanassios G. (Cambridge University Press. Cambridge, UK, 1975-03-01)
    We are interested here in proving the existence of solutions to the (generalised) boundary value problem where A is a continuous n×n matrix on R+ = [0, ∞), F is a continuous n vector on R+ × S (S = a suitable subset of ...
  • Borwein J. M.; Yost D. T. (Cambridge University Press. Cambridge, UK, 1984-06-01)
    Recall that a norm and monotone if and monotone if If the norm is both absolute and monotone, itis called a Riesz norm. It is easy to show that a norm is Riesz if and only if whenever A Banach lattice is a vector ...
  • Chandra Prem (Cambridge University Press. Cambridge, UK, 1970-06-01)
    Let ∑an be a given infinite series and {λn} a non-negative, strictly increasing, monotonic sequence, tending to infinity with n. We write, for w > λ0, and, for r>0, we write is known as the Riesz sum of “ type ” λn and ...
  • Thorpe B. (Cambridge University Press. Cambridge, UK, 1980-06-01)
    If a ∈ L(1, T) for every finite T>1, then we say that the infinite integral a(u)du is convergent with sum s if a(u)du = s. It is well known that a necessary and sufficient condition for a(u)du to be convergent (with some ...
  • Steggall (Cambridge University Press. Cambridge, UK, 1888-02-01)
    In examining some of the lines that occur in connection with the recent geometry of the triangle, the cubic whose equation in trilinear co-ordinates is incidentally appeared, and it seems worth noting the very large number ...
  • Jackson F. H. (Cambridge University Press. Cambridge, UK, 1895-02-01)
    The Series if convergent, is a particular solution of the Differential Equation in which and II denotes Gauss's II Function, D stands for .
  • Wreth S. (Cambridge University Press. Cambridge, UK, 1997-10-01)
    The Kervaire Conjecture is correct if it can be shown to hold for non-singular systems of equations of length 3. In this paper we prove it for the case of equations over a group G where each equation has the form axbx−1cy ...
  • Finlayson William (Cambridge University Press. Cambridge, UK, 1909-02-01)
    Theorem. If a point be taken on the radical axis of a coaxial system of circles, and from it tangents be drawn to any circle of the system, these tangents are cut in points on a conic, by the radical axis of the circle and ...
  • Baker J. W. (Cambridge University Press. Cambridge, UK, 1973-06-01)
    In (6) Taylor has introduced the notion of a convolution measure algebra. In the same paper he constructed a canonical embedding of an arbitrary, semisimple commutative convolution measure algebra A into the algebra M(S) ...
  • Hennings M. A. (Cambridge University Press. Cambridge, UK, 1987-10-01)
    It is of some interest to the theory of locally convex *-algebras to know under what conditions such an algebra A is a pre-C*-algebra (the topology of A can be described by a submultiplicative norm such that ‖x*x‖ = ‖x‖2, ...
  • Dixon P. G. (Cambridge University Press. Cambridge, UK, 1977-03-01)
    We show that the class of Banach algebras A isomorphic with normclosed (non-self-adjoint) subalgebras of is characterized by the condition that the norms of polynomials in A be dominated by the norms of the same polynomials in .
  • Sands A. D. (Cambridge University Press. Cambridge, UK, 1981-02-01)
    Throughout this paper we shall work in the class of associative rings. In (4) it was shown that a class of rings is a semisimple class if and only if it is closed under extensions and ideals and is coinductive. This ...
  • Van Huynh Dinh (Cambridge University Press. Cambridge, UK, 1996-06-01)
    It is shown that a ring R is right noetherian if and only if every cyclic right R-module is injective or a direct sum of a projective module and a noetherian module.