This volume of the Proceedings of the Centre for Mathematical Analysis contains papers by participants in the Workshop/Miniconference on Functional Analysis/Optimization held in Canberra in August, 1988. Some of the papers were prepared beforehand and were presented at the Miniconference. But importantly, some have resulted from collaboration which occurred there in response to problems raised in the sessions; this is the special return from the prolonged Workshop experience.
The theme of the Workshop/Miniconference was Functional Analysis/Optimization and although most participants worked in one or other of the two areas, a small group worked in both. The pervasive influence of Rockafellar and Clarke meant that in many cases we all had some familiarity with the tools used by each other so there was more unity than might have been expected. Although the papers in this volume are easily identified as being in one of the two areas, a commonality of background is often evident.
Author(s): Simon P Fitzpatrick, John R Giles (Eds.)
Series: Proceedings of the Centre for Mathematical Analysis, Australian National University 20
Edition: 1
Publisher: Centre for Mathematical Analysis, Australian National University
Year: 1988
Language: English
Commentary: 0731504305, 9780731504305
Pages: 208
City: Canberra
1 - On the connectedness properties of suns in finite dimensional spaces - A.L. Brown......Page 1
2 - An approximation theoretic characterisation of inner product spaces - A.L. Brown......Page 16
3 - Langrangian conditions for a minimax - B.D. Craven......Page 24
4 - Differentiability of distance functions in normed linear spaces with uniformly Gâteaux differentiable norm - Brett Davis......Page 34
5 - On generic differentiability of locally Lipschitz functions on Banach space - G. de Barra, Simon Fitzpatrick and J.R. Giles......Page 39
6 - Contractive projections on Banach spaces - Ian Doust......Page 50
7 - Representing monotone operators by convex functions - Simon Fitzpatrick......Page 59
8 - Nearest points in convex sets in normed linear spaces - Simon Fitzpatrick and John Giles......Page 66
9 - Most of the two-person zero-sum games have unique solution - P.S. Kenderov and N.K. Ribarska......Page 73
10 - Strong density of finite rank operators in subalgebras of B(X) - M.S. Lambrou......Page 83
11 - The convergence of entropic estimates for moment problems - A.S. Lewis......Page 100
12 - Absolutely Chebyshev subspaces - Åsvald Lima and David Yost......Page 116
13 - Non-reflexive realizations of non-distributive subspace lattices - W.E. Longstaff......Page 128
14 - Spaces of large dimension; some counter-intuitive results - V.D. Milman......Page 141
15 - A non-commutative joint spectral theory - A.J. Pryde......Page 153
16 - Invexity in nonlinear programs and control problems - I. Smart......Page 162
17 - Orthogonality and fixed points of nonexpansive maps - Brailey Sims......Page 178
18 - Bellman's equation and a continuous linear programming problem - W.R.S. Sutherland......Page 187
19 - On the differentiability of convex functions - Maria Elena Verona......Page 195
20 - A problem on nearest points in Banach spaces - Jonathon M. Borwein and Simon Fitzpatrick......Page 203
21 - The valuation of contingent securities - A. Brace, A. Lewis and G.N. Newsam......Page 205
22 - Superamenability - R.J. Loy......Page 207
