Miniconference on Probability and Analysis

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Price: AUD $33.00
Volume: 29
Venue: University of New South Wales

Preface

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.

We would like to record our thanks to all the bodies who have directly and indirectly supported this meeting:

  • The Centre for Mathematics and it's Applications ANU
  • The Australian Mathematical Society.
  • The Australian Research Council
  • The University of New South Wales.

We should especially like to thank Mrs Marilyn Gray from the CMA for all of her usual efficient help behind the scenes, the secretarial staff at the University of NSW for cheerfully putting up with another conference, and all our colelagues who attended and who made the job or the organisers very easy.

Content

ChapterPage
1Some New Applications of Riesz Products
Gavin Brown
1
2Some Properties of Symmetric Operator Spaces
Peter G. Dodds and Theresa K.-Y. Dodds
14
3Unitary Approximation and Submajorization
Peter G. Dodds and Theresa K.-Y. Dodds
42
4On Kakutani's Criterion and Shiryaev's Theorem
A.H. Dooley
58
5Subelliptic Operators on Lie Groups
A.F.M. ter Elst and Derek W. Robinson
63
6The Frechet Differentiability on Convex Functions on C(S)
Roger Eyland and Bernice Sharp
73
7Clifford Martingales, The T(b) Theorem and Cauchy Integrals
Garth I. Gaudry
92
8Differentiability Properties of Banach Spaces where the Boundary of the Closed Unit Ball has Denting Point Properties
John R. Giles and Warren B. Moors
107
9On Weak Solutions of Stochastic Evolution Equations with Unbounded Coefficients
Beniamin Goldys
116
10On Some Trace Inequalities
Hideki Kosaki
129
11Representations of Compact Groups, Cuntz-Krieger Algebras, and Groupoid C*-Algebras
M.H. Mann, lain Raeburn and C.E. Sutherland
135
12M.H. Mann, lain Raeburn and C.E. Sutherland
C. Meaney and E. Prestini
145
13A Continuity Property Related to an Index of Non-WCG and Its Implications
Warren B. Moors
163
14The Poincare-Bertrand Formula for the Hilbert Transform
Susumu Okada
171
15Non Isomorphism of the Disc Algebra with Spaces of Differentiable Functions
A. Pelczynski
183
16Inequalities for the Joint Spectrum of Simultaneously Triangularizable Matrices
A.J. Pryde
196
17The Heat Kernel for H-Type Groups
Jennifer Randall
208
18Weak Compactness in Spaces of Linear Operators
Werner J. Ricker
212
19Fragmentability of Rotund Banach Spaces
Scott Sciffer
222
20On the Uniform Classification of Lp(/l) Spaces
Anthony Weston
231
21Hypergroups and Harmonic Analysis
N.J. Wildberger
238