Miniconference On Probability And Analysis, 24-26 July 1991, University Of New South Wales (proceedings Of The Centre For Mathematics And Its Applications, Australian National University)

This volume contains the complete proceedings of the miniconference, "Probability and Analysis", held at the University of New South Wales, in Sydney, in July 1991. The main topics of the conference were the use of probability in analysis, and geometric and operator theoretic aspects of Banach space theory. The inspiration for the conference was the visits to Australia of Aleksander Pelczynski and Don Burkholder. After some intiial indecision as to whether organising a conference was really a good idea, Werner, Ricker and Ian Doust put the wheels in motions. Professors Pelczynski and Burkholder were joined by local invited speakers Gavin Brown, Garth Gaudry and Alan McIntosh. Another twenty speakers gave contributed papers. In total over fifty mathematicians from a wide variety of institutions took part in what was to be a very enjoyable meeting, spanning a wide range of analysis. 1 - Some New Applications of Riesz Products - Gavin Brown......Page 1 2 - Some Properties of Symmetric Operator Spaces - Peter G. Dodds and Theresa K.-Y. Dodds......Page 14 3 - Unitary Approximation and Submajorization - Peter G. Dodds and Theresa K.-Y. Dodds......Page 42 4 - On Kakutani's Criterion and Shiryaev's Theorem - A.H. Dooley......Page 58 5 - Subelliptic Operators on Lie Groups - A.F.M. ter Elst and Derek W. Robinson......Page 63 6 - The Frechet Differentiability on Convex Functions on C(S) - Roger Eyland and Bernice Sharp......Page 73 7 - Clifford Martingales, The T(b) Theorem and Cauchy Integrals - Garth I. Gaudry......Page 92 8 - Differentiability Properties of Banach Spaces where the Boundary of the Closed Unit Ball has Denting Point Properties - John R. Giles and Warren B. Moors......Page 107 9 - On Weak Solutions of Stochastic Evolution Equations with Unbounded Coefficients - Beniamin Goldys......Page 116 10 - On Some Trace Inequalities - Hideki Kosaki......Page 129 11 - Representations of Compact Groups, Cuntz-Krieger Algebras, and Groupoid C*-Algebras - M.H. Mann, lain Raeburn and C.E. Sutherland......Page 135 12 - M.H. Mann, lain Raeburn and C.E. Sutherland - C. Meaney and E. Prestini......Page 145 13 - A Continuity Property Related to an Index of Non-WCG and Its Implications - Warren B. Moors......Page 163 14 - The Poincare-Bertrand Formula for the Hilbert Transform - Susumu Okada......Page 171 15 - Non Isomorphism of the Disc Algebra with Spaces of Differentiable Functions - A. Pelczynski......Page 183 16 - Inequalities for the Joint Spectrum of Simultaneously Triangularizable Matrices - A.J. Pryde......Page 196 17 - The Heat Kernel for H-Type Groups - Jennifer Randall......Page 208 18 - Weak Compactness in Spaces of Linear Operators - Werner J. Ricker......Page 212 19 - Fragmentability of Rotund Banach Spaces - Scott Sciffer......Page 222 20 - On the Uniform Classification of Lp(/l) Spaces - Anthony Weston......Page 231 21 - Hypergroups and Harmonic Analysis - N.J. Wildberger......Page 238