Bulletin of the London Mathematical Society - recent issues

On Box, Weak Box and Strong Compactness

Apter, A. W., Henle, J. M. — 1992-11-01

On MacDonald's Symmetric Functions

Srinivasan, B. — 1992-11-01

Loi Dyadique de Repartition des Diviseurs

Saias, E. — 1992-11-01

A Hille-Yosida Theorem for the Higher-Order Abstract Cauchy Problem

Zheng, Q. — 1992-11-01

A Completeness Property of certain Formations

Maier, R. — 1992-11-01

Saturated formations which contain the class of supersoluble groups are closed under the product of two subgroups if every subgroup of one factor is permutable with every subgroup of the other.

Solomon's Descent Algebra Revisited

Atkinson, M. D. — 1992-11-01

Starting from a non-standard definition, the descent algebra of the symmetric group is investigated. Homomorphisms into the tensor product of smaller descent algebras are defined. They are used to contruct the irreducible representations and to obtain the nilpotency index of the radical.

The Norms of Projections Onto Ideals in the Disk Algebra

Casazza, P. G. — 1992-11-01

We anwser two conjectures concerning the norms of the best projections onto an ideal in the disk algebra.

On the Inverse mean value Property of Harmonic Functions on Strips

Goldstein, M., Haussmann, W., Rogge, L. — 1992-11-01

On Symmetric Invariants of Level Surfaces Near Regular Points

Magnanini, R. — 1992-11-01

We consider the symmetric invariants of the level surfaces of a smooth function away from its critical points, and prove for them some formulae in divergence from. We then apply these formulae to obtain an isoperimetric inequality for the surface area of level surfaces of p-capacity potentials.

An Analytic Family of Solutions of the Heat Equation

Kochneff, E. — 1992-11-01

We show that the basis for expansions of temperature functions given in [4] and [7] are part of an entire family of homogeneous solutions of the heat equation.

Weak Compactness Today

Stegall, C. — 1992-11-01

We give a short proof of the Smul'yan, Eberlein and Grothendieck theorem that is so transparent that one can easily deduce a number of results about weak compactness in locally convex spaces.

On a Topological Property of certain Calkin Algebras

Meyer, M. J. — 1992-11-01

Let X = 1^p, 1 ≤ p < , or X = c₀, B(X) be the algebra of all bounded linear operators on X, H(X) be the ideal of compact operators in B(X), and C(X) = B(X)/H(X) be the Calkin algebra on X. For TB(X), let ||T||_c = dist(T, H(X)) be the essential norm of T that is the norm of T+H(X) in C(X). It is shown that for any operator TB(X) and any number 0 < t < 1, there exists a closed infinite dimensional subspace Z Z X such that

||Tx|| ≥ t||T||_c, for all x Z.

As a consequence, it is shown that every (not necessarily complete) submultiplicative norm on the Calkin algebra C(X) is equivalent to the quotient norm || ||_c on C(X).

Locating the Range of an Operator on a Hilbert Space

Bridges, D., Ishihara, H. — 1992-11-01

Minimal Determinants and Lattice Inequalities

Schnell, U. — 1992-11-01

Some results of P. McMullen on determinants of sublattices of Z^d induced by rational subspaces are generalized to arbitrary lattices. As an application, we obtain an equality for the minimal determinants introduced by J. M. Wills, namely D_t(L) = D_d(L)D_d–1((L*). Using an inequality of Lagarias, Lenstra and Schnorr, we generalize two isoperimetric inequalities withlattice constraints by Bokowski, Hadwiger and Wills, and Hadwiger, respectively, to arbitrary lattices.

Book Reviews

Cassels, J. W. S. — 1992-11-01

Book Reviews

Cohen, S. D. — 1992-11-01

Book Reviews

Cohn, P. M. — 1992-11-01

Book Reviews

Wallace, D. A. R. — 1992-11-01

Book Reviews

Taylor, S. J. — 1992-11-01

Book Reviews

Cohn, P. M. — 1992-11-01

Book Reviews

Arscott, F. M. — 1992-11-01

Book Reviews

Lindenstrauss, J. — 1992-11-01

Book Reviews

Vickers, J. A. — 1992-11-01

A note on the Joint Embedding Property in Fragments of Arithmetic

Otero, M. — 1992-09-01

It is known that full Peano Arithmetic does not have the joint embedding property(JEP). At the other extreme of the hierarchy, Open Induction also fails to have this property.

We prove, using some conservation results about fragments of arithmetic, that if T is a theoryconsistent with PA and T I$${E}_{1}^{-}$$ (bounded existential parameter-free induction), then any two m dels of PA which jointly embed in a model of T also jointly embed in an elementary extension of one of them. In particular, any fragment of PA extending I$${E}_{1}^{-}$$ fails to have JEP.

A Generalization of the Chowla-Mordell Theorem on Gaussian Sums

Funakura, T. — 1992-09-01

S. Chowla and I. J. Mordell independently proved that if the argument (as a complex number) of the Gaussian sum associated with a Dirichlet character modulo an odd prime is a root of unity, then the character must be quadratic. R. J. Evans gave a simple proof and a generalization to Gaussian sums for finite fields. We extend the Chowla-Mordell theorem from prime modulus to composite modulus, applying an explicit formula for the Gaussian sum with a primitive character in the case of a prime power modulus, due to R. W. K. Odoni.

Some Remarks on Filtrations for Projective Modules

Fan, Y., Zhou, B. R. — 1992-09-01

A note on the Automorphism Group of a Locally Finite p-Group

Puglisi, O. — 1992-09-01

On the Best Constant in Weighted Inequalities for Riemann-Liouville Integrals

Manakov, V. M. — 1992-09-01

For 1 ≤ k < and 1 ≤ p ≤ q , the problem of finding the best constant C_p_q in the weighted inequality $${\left({\int }_{0}^{\infty }{\left|{I}_{k}f\left(x\right)\right|}^{q}{\left|u\left(x\right)\right|}^{q}dx\right)}^{\stackrel{}{1}/\underset{}{q}}\hbox{ \hspace{0.17em} }\le \hbox{ \hspace{0.17em} }{C}_{p,q}{\left({\int }_{0}^{\infty }{\left|f\left(x\right)\right|}^{p}{\left|\upsilon \left(x\right)\right|}^{p}dx\right)}^{\stackrel{}{1}/\underset{}{p}}$$ involving the Riemann-Liouville integrals of the form $${I}_{k}f\left(x\right)=\frac{1}{\Gamma \left(k\right)}{{\int }_{0}^{x}\left(x-t\right)}^{k-1}f\left(t\right)dt$$ is considered.

On the Sendov-Ilyeff Conjecture

Katsoprinakis, E. S. — 1992-09-01

Dirichlet's Problem When the Data is an Entire Function

Khavinson, D., Shapiro, H. S. — 1992-09-01

A Remark on Parabolic Harnack Inequalities

Nagai, H. — 1992-09-01

A Gaussian Lower Bound for the Dirichlet Heat Kernel

van den Berg, M. — 1992-09-01

Nonlinear Volterra Integral Equations and the Apery Identities

Bushell, P. J., Okrasinski, W. — 1992-09-01

Derivations Mapping into the Radical, II

Mathieu, M., Runde, V. — 1992-09-01

Every centralising derivation on a Banach algebra maps into its radical.

On the Conformal Equivalence of Harmonic Maps and Exponentially Harmonic Maps

Min-Chun, H. — 1992-09-01

All Fundamental Groups are almost Contact

Kotschick, D. — 1992-09-01

Book Reviews

Stewart, I. — 1992-09-01

Book Reviews

Pellikaan, R. — 1992-09-01

Book Reviews

Bowler, A. — 1992-09-01

Book Reviews

Keating, M. E. — 1992-09-01

Book Reviews

Zelmanov, E. — 1992-09-01

Book Reviews

Weiss, B. — 1992-09-01

Book Reviews

Clunie, J. G. — 1992-09-01

Book Reviews

Chillingworth, D. R. J. — 1992-09-01

Records of Proceedings at Meetings

1992-09-01

Two Models that show the Interpolation Theorem Fails in all L1(Q{alpha}) and L1, 1 (Q{alpha}, {alpha} = 0, 1, 2,...

Talebi, N. — 1992-07-01

The logics L¹(Q), L^1,1(Q) and L²(Q) are formed by adding quantifiers Q, Q^1,1 and Q² respectively to the first-order logic. In this paper, for each ordinal (including = 0), we construct two Q models to prove that the Interpolation Theorem fails in L(Q) and L^1,1 (Q).

On a Criterion for the Quadratic Fields Q({surd}(n2+ 4)) to be of Class Number Two

Leu, M.-G. — 1992-07-01

In this paper, we shall prove a sufficient condition for the quadratic fields Q((n²+4)) to be of class number two. Furthermore, under the assumption of the generalized Riemann hypothesis, we give a criterion for the quadratic fields Q((n²+4)) to be of class number two.

Finite order Elements in Aut(C2)

Ali, A-H. A-H. — 1992-07-01

We show that all invertible polynomial maps from C² to itself which have finite order are conjugate to linear maps of finite order.

Periodic Points for Expansive Actions of Zd on Compact Abelian Groups

Ward, T. B. — 1992-07-01

In this note we show that the periodic points of an expansive Z^d action on a compact abelian group are uniformly distributed with respect to Haar measure if the action has completely positive entropy. In the general expansive case, we show that any measure obtained as the distribution of periodic points along some sequence of periods necessarily has maximal entropy but need not be Haar measure.

Canonical Bases for Irreducible Representations of Quantum GlN

Du, J. — 1992-07-01

Theorems of Rietz and Wielandt on Transitive Permutation Groups

Neumann, P. M. — 1992-07-01

A Monoid which is Right FP{infty} but not Left FP1

Cohen, D. E. — 1992-07-01

On Connected Transversals to Abelian Subgroups in Finite Groups

Niemenmaa, M., Kepka, T. — 1992-07-01

A Penrose Transform for D4 and Homomorphisms of Generalized Verma Modules

Eastwood, M. — 1992-07-01

A Uniform Ergodic Theorem and Summability

Badiozzaman, A. J., Thorpe, B. — 1992-07-01

Orthogonalizing Weights of Tchebychev Sets of Polynomials

Kwon, K. H., Kim, S. S., Han, S. S. — 1992-07-01

We characterize distributions with respect to which the members of a Tchebychev set of polynomials are orthogonal when they satisfy differential equations with polynomial coefficients. As an application, we find a real weight of bounded variation with support in [0, ) for Bessel polynomials.

Classification of Analytic Crossed Product Algebras

Power, S. C. — 1992-07-01

The semicrossed product algebras C(X) x Z₊, C(Y)xZ₊ are isomorphic as complex algebras if and only if the homeomorphisms , are conjugate. A similar general classification is obtained for the weakly closed analytic operator algebras associated with Borel automorphisms.

Note on Kernels to some Nonlinear Volterra Integral Equations

Okrasinski, W. — 1992-07-01

This note shows how to find kernels for which the considered nonlinear Volterra equations have only the trivial solution. Moreover, a construction of kernels, for which nontrivial solutions exist, is presented.

All Fundamental Groups are almost Complex

Kotschick, D. — 1992-07-01

The Product of Minimal Functions is Minimal: Erratum

Taylor, J. C. — 1992-07-01

Corollary 2.3 is false as stated, but is correct if one assumes that both generators satisfy the separation property.

Obituary: Kurt Mahler

Cassels, J. W. S. — 1992-07-01

Book Reviews

Cohn, P. M. — 1992-07-01

Book Reviews

Johnstone, P. T. — 1992-07-01

Book Reviews

Hodges, W. A. — 1992-07-01

Book Reviews

Everest, G. R. — 1992-07-01

Book Reviews

Geck, M. — 1992-07-01

Book Reviews

Neumann, P. M. — 1992-07-01

Book Reviews

Friedlandkr, G. — 1992-07-01

Book Reviews

Walters, P. — 1992-07-01

Book Reviews

Toland, J. — 1992-07-01

Book Reviews

Kendall, W. S. — 1992-07-01

Book Reviews

Abakuks, A. — 1992-07-01

Book Reviews

Kesten, H. — 1992-07-01