National Symposium on Functional Analysis, Optimization and Applications


This volume contains papers by participants in the National Symposium on Functional Analysis, Optimization and Applications held at the University of Newcastle in March 1998. The Symposium was a joint acivity organised by the Department of Mathematics and the Centre for Integrated dynamics and Control (CIDAC), which is associated with the Department of Electrical and Computer Engineering, all at the University of Newcastle. Our special guest leading the symposium was Professor Jonathan Borwein from Simon Fraser University, British Columbia, Canada, whose visit was sponsored by CIDAC. From Monday 9th until Thursday 19th March we met in workshop sessions where two papers were read each morning (with discussion afterwards) and on Friday 20th and Saturday 21st March, we held a formal miniconference session where seven papers were presented each day.

We had participants from the Universities of Western Australia, Murdoch, Melbourne, Ballarat, Sydney, NSW, the Australian Catholic, and Newcastle. We also included visitors from the Universities of Toronto and Simon Fraser (Canada), Seville (Spain) and Harbin (China).

The aim of the symposium was to achieve some cross fertilisation of ideas between mathematicians working in functional analysis and engineers whose main concern is optimal control and estimation. In our opinion, much useful dialogue between workers in these fields was exchanged.

This volume contains the refereed papers of some of the participants. Although the papers themselves are generally identifiable as being from one of the two participating groups of mathematicians or engineers it is hoped that the publication of the papers in one volume will help promote more of the inter-field discussion that we enjoyed in our symposium.

We wish to thank the Centre for Mathematics and its Applications for including us in their National Symposium Program, supporting our Australian participants, and for publishing these proceedings. We are grateful for the secretarial support given by Mrs Jan Garnsey from the Department of Mathematics at the University of Newcastle, and Mrs Annette Hughes, Administrative Officer to CMA.

Of course we also thank all our colleagues who participated in the dialogue and contributed talks and papers to promote it.

John Giles, Brett Ninness
(Organisers and editors)


Chapter Page number
1 - Conical open mapping theorems and regularity (pdf 1.22 MB)
Heinz H. Bauschke and Jonathan M. Borwein
2 - An algebraic approach to optimal output decoupling by output feedback control (pdf 2.01 MB)
Thomas S. Brinsmead and Graham C. Goodwin
3 - Non-differentiable invex (pdf 396.02 KB)
4 - Strict property (M) in Banach spaces (pdf 840.79 KB)
Yunan Cui
5 - Properties of finite rank operators that arise in approximation of integral operators related to linear dynamical systems (pdf 1.21 MB)
José A. De Doná, Graham C. Goodwin and Richard H. Middleton
6 - Exposing conditions implying uniformity of rotundity (pdf 640.29 KB)
John R. Giles and Warren B. Moors
7 - Worst-case identification of linear systems: existence and complexity (pdf 1.85 MB)
D.W. Hadwin, K.J. Harrison and J.A. Ward
8 - Design of multi-channel linear phase FIR filters (pdf 2.5 MB)
Gustav Ljungars and Minyue Fu
9 - Generalised Fourier and Toeplitz results for rational orthonormal bases (pdf 1.6 MB)
Brett Ninness, Håkan Hjalmarsson and Fredrik Gustafsson
10 - Voltage graphs (pdf 1 MB)
David Pask and Trent Yeend
11 - Dynamical systems and operator algebras (pdf 2.02 MB)
Iain Raeburn
12 - Groups, representations and Haagerup's inequality for buildings (pdf 743.51 KB)
Jacqui Ramagge
13 - Operator theoretic problems for Fourier multipliers in Lp(R) (pdf 3.98 MB)
W.J. Ricker
14 - Some properties of increasing convex-along-rays functions (pdf 1.55 MB)
A.M. Rubinov
15 - On a calculus of discontinuous functions used in interfacial flow modeling (pdf 1.33 MB)
Scott Sciffer
16 - Maps which have fixed points for any Banach space (pdf 730.19 KB)
Brailey Sims
17 - Limitations on achievable tracking accuracy for single-input two-output systems (pdf 1.12 MB)
Andrew Woodyatt