By Honorary Associate Professor Ian Doust

Journal articles

Doust IR, 1992, 'Interpolation and extrapolation of well-bounded operators', Journal of Operator Theory, 28, pp. 229 - 250, http://www.theta.ro/

Doust IR, 1990, 'A study of counting', Australian Universities' Review, pp. 18 - 19

Doust IR, 1990, 'Staffing in Higher Education - Mathematics in the Nineties', Gazette of the Australian Mathematical Society, 17, pp. 43 - 46

Doust I, 1989, 'Well-Bounded And Scalar-Type Spectral Operators On lpSpaces', Journal of the London Mathematical Society, s2-39, pp. 525 - 534, http://dx.doi.org/10.1112/jlms/s2-39.3.525

Doust I, 1989, 'Well-bounded and scalar-type spectral operators on spaces not containing c0', Proceedings of the American Mathematical Society, 105, pp. 367 - 370, http://dx.doi.org/10.1090/S0002-9939-1989-0939963-X

Conference Papers

Doust I; Al-shakarchi S, 2017, 'Isomorphisms of AC(σ) spaces for countable sets', in Böttcher A; Potts D; Stollmann P; Wenzel D (eds.), The Diversity and Beauty of Applied Operator Theory. Operator Theory: Advances and Applications, Springer International Publishing AG, part of Springer Nature, Chemnitz, pp. 193 - 206, presented at International Workshop on Operator Theory and its Applications (IWOTA), Chemnitz, 14 August 2017 - 18 August 2017, http://dx.doi.org/10.1007/978-3-319-75996-8_11

Blower G; Doust IR; Taggart RJ, 2009, 'A maximal theorem for holomorphic semigroups on vector-valued spaces', in Proceedings of the Centre for Mathematics and its applications, Australian National University, Canberra, pp. 105 - 114, presented at Centre for Mathematics and its Applications (CMA), Australian National University, Canberra, 13 July 2009 - 17 July 2009

Doust IR; Lancien F; Lancien G, 2006, 'Spectral theory for linear operators on L¹ or C(K) spaces', in McIntosh A; Portal P (ed.), Proceedings of the Centre for Mathematics and its Applications, Australian National University, Australian National University, Canberra, pp. 1 - 10, presented at CMA/AMSI Research Symposium "Asymptotic Geometric Analysis, Harmonic Analysis, and Related Topics'', Murramarang, New South Wales, Australia, 21 February 2006 - 24 February 2006

Doust IR, 2000, 'Norms of 0-1 matrices in Cp', in Isaev A; Hassell A; McIntosh A; Sikora A (eds.), Proceedings of the Centre for Mathematics and its Applications, Australian National University, Australian National University, Canberra, pp. 50 - 55, presented at Geometric analysis and applications, Canberra, 26 June 2000 - 30 June 2000

Doust IR, 1994, 'Contractive projections on Lebesgue-Bochner spaces', in Jarosz K (ed.), Lecture Notes in Pure and Applied Mathematics, Dekker, New York, pp. 101 - 109, presented at Function spaces, Edwardsville, Illinois, 17 May 1994 - 20 May 1994

Doust IR, 1989, 'An example in the theory of spectral and well-bounded operators', in Doust I; Jefferies B; Li C; McIntosh A (eds.), Austral. Nat. Univ., Canberra, pp. 83 - 90, presented at Miniconference on Operators in Analysis, 25 September 1989 - 27 September 1989

Doust IR, 1988, 'Contractive projections on Banach spaces', in Fitzpatrick S; Giles J (ed.), Austral. Nat. Univ.,, Canberra, pp. 50 - 58, presented at Miniconference on Functional Analysis & Optimization, Canberra, 08 August 1988 - 24 August 1988

Conference Proceedings (Editor of)

Doust I; Jefferies B, (ed.), 1991, 'Miniconference on Probability and Analysis', Austral. Nat. Univ., Canberra, Vol. 29, presented at Miniconference on Probability and Analysis, UNSW, 24 July 1991 - 26 July 1991

Doust IR; Jefferies BRF; Li C; McIntosh A, (eds.), 1989, 'Miniconference on Operators in Analysis. Proceedings of the miniconference held at Macquarie University, Sydney, September 25-27, 1989. Proceedings of the Centre for Mathematical Analysis, Australian National University, 24.', Australian National University, Centre for Mathematical Analysis, Canberra, Macquarie University, Sydney, Vol. 24, presented at Miniconference on Operators in Analysis, Macquarie University, Sydney, 25 September 1989 - 27 September 1989

Doust I; Jefferies B; Li C; McIntosh A, (eds.), 1989, 'Miniconference on Operators in Analysis', Austral. Nat. Univ., Canberra, Vol. 24, presented at Miniconference on Operators in Analysis, Macquarie University, Sydney, 25 September 1989 - 27 September 1989

Preprints

Doust I; Weston A, 2026, Squaring the circle: embedding $S^1$ in $\ell_1$, https://arxiv.org/abs/2608.10422v1

Blower G; Doust I, 2024, Linear systems, spectral curves and determinants, http://dx.doi.org/10.48550/arxiv.2409.15826

Doust I; Robertson G; Stoneham A; Weston A, 2020, Distance matrices of subsets of the Hamming cube, http://dx.doi.org/10.48550/arxiv.2005.09205

Al-shakarchi S; Doust I, 2020, $AC(σ)$ spaces for polygonally inscribed curves, https://doi.org/10.1007/s43037-020-00110-w

Blower G; Brett C; Doust I, 2019, Statistical Mechanics of the Periodic Benjamin-Ono Equation, http://dx.doi.org/10.48550/arxiv.1902.01153

Al-shakarchi S; Doust I, 2018, Isomorphisms of $AC(σ)$ spaces for linear graphs, https://doi.org/10.1007/s43036-020-00053-x

Doust I, 2018, A note on positive $\mathcal{AN}$ operators, http://dx.doi.org/10.48550/arxiv.1810.08286

Doust I; Al-shakarchi S, 2017, Isomorphisms of $AC(σ)$ spaces for countable sets, http://dx.doi.org/10.48550/arxiv.1710.09073

Blower G; Doust I, 2016, Operational calculus and integral transforms for groups with finite propagation speed, http://dx.doi.org/10.48550/arxiv.1509.00133

Blower G; Brett C; Doust I, 2014, Hill's Spectral Curves and the Invariant Measure of the Periodic KdV Equation, http://dx.doi.org/10.48550/arxiv.1409.8494

Doust I; Sánchez S; Weston A, 2014, A direct proof that $\ell_\infty^{(3)}$ has generalized roundness zero, http://dx.doi.org/10.48550/arxiv.1401.4095

Blower G; Brett C; Doust I, 2014, Logarithmic Sobolev inequalities and spectral concentration for the cubic Schrödinger equation, http://dx.doi.org/10.48550/arxiv.1308.3649

Doust I; Leinert M, 2013, Isomorphisms of $AC(σ)$ spaces, http://dx.doi.org/10.48550/arxiv.1312.2304

Doust I; Leinert M, 2013, Isomorphisms of $AC(σ)$ spaces, https://arxiv.org/abs/1312.2304v1

Doust I; Leinert M, 2013, Approximation in $AC(σ)$, https://www.researchgate.net/publication/259211398_Approximation_in_ACsigma

Doust I; Sánchez S; Weston A, 2013, The asymptotic enhanced negative type of finite ultrametric spaces, https://arxiv.org/abs/1308.1185v3

Caffarelli E; Doust I; Weston A, 2011, Metric trees of generalized roundness one, http://dx.doi.org/10.48550/arxiv.1008.3418

Ashton B; Doust I, 2008, Compact $AC(σ)$ operators, http://dx.doi.org/10.48550/arxiv.0807.1052

Doust I; Weston A, 2008, Enhanced negative type for finite metric trees, http://dx.doi.org/10.48550/arxiv.0705.0411

Doust I; Terauds V, 2008, Extensions of an $AC(σ)$ functional calculus, http://dx.doi.org/10.48550/arxiv.0803.2131

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