Bulletin of the London Mathematical Society - current issue http://blms.oxfordjournals.org Bulletin of the London Mathematical Society - RSS feed of current issue 1469-2120 November 1992 Bulletin of the London Mathematical Society 0024-6093 <![CDATA[On Box, Weak Box and Strong Compactness]]> http://blms.oxfordjournals.org/cgi/content/short/24/6/513?rss=1 Apter, A. W., Henle, J. M. 1992-11-01 info:doi/10.1112/blms/24.6.513 London Mathematical Society 6 24 518 1992-11-01 513 NOTES AND PAPERS <![CDATA[On MacDonald's Symmetric Functions]]> http://blms.oxfordjournals.org/cgi/content/short/24/6/519?rss=1 Srinivasan, B. 1992-11-01 info:doi/10.1112/blms/24.6.519 London Mathematical Society 6 24 525 1992-11-01 519 NOTES AND PAPERS <![CDATA[Loi Dyadique de Repartition des Diviseurs]]> http://blms.oxfordjournals.org/cgi/content/short/24/6/526?rss=1 Saias, E. 1992-11-01 info:doi/10.1112/blms/24.6.526 London Mathematical Society 6 24 530 1992-11-01 526 NOTES AND PAPERS <![CDATA[A Hille-Yosida Theorem for the Higher-Order Abstract Cauchy Problem]]> http://blms.oxfordjournals.org/cgi/content/short/24/6/531?rss=1 Zheng, Q. 1992-11-01 info:doi/10.1112/blms/24.6.531 London Mathematical Society 6 24 539 1992-11-01 531 NOTES AND PAPERS <![CDATA[A Completeness Property of certain Formations]]> http://blms.oxfordjournals.org/cgi/content/short/24/6/540?rss=1 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.

]]> Maier, R. 1992-11-01 info:doi/10.1112/blms/24.6.540 London Mathematical Society 6 24 544 1992-11-01 540 NOTES AND PAPERS <![CDATA[Solomon's Descent Algebra Revisited]]> http://blms.oxfordjournals.org/cgi/content/short/24/6/545?rss=1 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.

]]> Atkinson, M. D. 1992-11-01 info:doi/10.1112/blms/24.6.545 London Mathematical Society 6 24 551 1992-11-01 545 NOTES AND PAPERS <![CDATA[The Norms of Projections Onto Ideals in the Disk Algebra]]> http://blms.oxfordjournals.org/cgi/content/short/24/6/552?rss=1 We anwser two conjectures concerning the norms of the best projections onto an ideal in the disk algebra.

]]> Casazza, P. G. 1992-11-01 info:doi/10.1112/blms/24.6.552 London Mathematical Society 6 24 558 1992-11-01 552 NOTES AND PAPERS <![CDATA[On the Inverse mean value Property of Harmonic Functions on Strips]]> http://blms.oxfordjournals.org/cgi/content/short/24/6/559?rss=1 Goldstein, M., Haussmann, W., Rogge, L. 1992-11-01 info:doi/10.1112/blms/24.6.559 London Mathematical Society 6 24 564 1992-11-01 559 NOTES AND PAPERS <![CDATA[On Symmetric Invariants of Level Surfaces Near Regular Points]]> http://blms.oxfordjournals.org/cgi/content/short/24/6/565?rss=1 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.

]]> Magnanini, R. 1992-11-01 info:doi/10.1112/blms/24.6.565 London Mathematical Society 6 24 574 1992-11-01 565 NOTES AND PAPERS <![CDATA[An Analytic Family of Solutions of the Heat Equation]]> http://blms.oxfordjournals.org/cgi/content/short/24/6/575?rss=1 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.

]]> Kochneff, E. 1992-11-01 info:doi/10.1112/blms/24.6.575 London Mathematical Society 6 24 586 1992-11-01 575 NOTES AND PAPERS <![CDATA[Weak Compactness Today]]> http://blms.oxfordjournals.org/cgi/content/short/24/6/587?rss=1 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.

]]> Stegall, C. 1992-11-01 info:doi/10.1112/blms/24.6.587 London Mathematical Society 6 24 590 1992-11-01 587 NOTES AND PAPERS <![CDATA[On a Topological Property of certain Calkin Algebras]]> http://blms.oxfordjournals.org/cgi/content/short/24/6/591?rss=1 Let X = 1p, 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).

]]> Meyer, M. J. 1992-11-01 info:doi/10.1112/blms/24.6.591 London Mathematical Society 6 24 598 1992-11-01 591 NOTES AND PAPERS <![CDATA[Locating the Range of an Operator on a Hilbert Space]]> http://blms.oxfordjournals.org/cgi/content/short/24/6/599?rss=1 Bridges, D., Ishihara, H. 1992-11-01 info:doi/10.1112/blms/24.6.599 London Mathematical Society 6 24 605 1992-11-01 599 NOTES AND PAPERS <![CDATA[Minimal Determinants and Lattice Inequalities]]> http://blms.oxfordjournals.org/cgi/content/short/24/6/606?rss=1 Some results of P. McMullen on determinants of sublattices of Zd 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 Dt(L) = Dd(L)Dd–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.

]]> Schnell, U. 1992-11-01 info:doi/10.1112/blms/24.6.606 London Mathematical Society 6 24 612 1992-11-01 606 NOTES AND PAPERS <![CDATA[Book Reviews]]> http://blms.oxfordjournals.org/cgi/content/short/24/6/613?rss=1 Cassels, J. W. S. 1992-11-01 info:doi/10.1112/blms/24.6.613 London Mathematical Society 6 24 614 1992-11-01 613 BOOK REVIEWS <![CDATA[Book Reviews]]> http://blms.oxfordjournals.org/cgi/content/short/24/6/614?rss=1 Cohen, S. D. 1992-11-01 info:doi/10.1112/blms/24.6.614 London Mathematical Society 6 24 615 1992-11-01 614 BOOK REVIEWS <![CDATA[Book Reviews]]> http://blms.oxfordjournals.org/cgi/content/short/24/6/615?rss=1 Cohn, P. M. 1992-11-01 info:doi/10.1112/blms/24.6.615 London Mathematical Society 6 24 616 1992-11-01 615 BOOK REVIEWS <![CDATA[Book Reviews]]> http://blms.oxfordjournals.org/cgi/content/short/24/6/616?rss=1 Wallace, D. A. R. 1992-11-01 info:doi/10.1112/blms/24.6.616 London Mathematical Society 6 24 617 1992-11-01 616 BOOK REVIEWS <![CDATA[Book Reviews]]> http://blms.oxfordjournals.org/cgi/content/short/24/6/617?rss=1 Taylor, S. J. 1992-11-01 info:doi/10.1112/blms/24.6.617 London Mathematical Society 6 24 618 1992-11-01 617 BOOK REVIEWS <![CDATA[Book Reviews]]> http://blms.oxfordjournals.org/cgi/content/short/24/6/618?rss=1 Cohn, P. M. 1992-11-01 info:doi/10.1112/blms/24.6.618 London Mathematical Society 6 24 619 1992-11-01 618 BOOK REVIEWS <![CDATA[Book Reviews]]> http://blms.oxfordjournals.org/cgi/content/short/24/6/619?rss=1 Arscott, F. M. 1992-11-01 info:doi/10.1112/blms/24.6.619 London Mathematical Society 6 24 620 1992-11-01 619 BOOK REVIEWS <![CDATA[Book Reviews]]> http://blms.oxfordjournals.org/cgi/content/short/24/6/620?rss=1 Lindenstrauss, J. 1992-11-01 info:doi/10.1112/blms/24.6.620 London Mathematical Society 6 24 622 1992-11-01 620 BOOK REVIEWS <![CDATA[Book Reviews]]> http://blms.oxfordjournals.org/cgi/content/short/24/6/622?rss=1 Vickers, J. A. 1992-11-01 info:doi/10.1112/blms/24.6.622 London Mathematical Society 6 24 624 1992-11-01 622 BOOK REVIEWS