By Associate Professor Ian Doust

Journal articles

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

Blower G; Doust I, 2024, Linear systems, spectral curves and determinants, http://arxiv.org/abs/2409.15826v1

Doust I; Weston A, 2024, Beyond trees: the metric geometry of subsets of weighted Hamming cubes, http://arxiv.org/abs/2404.06684v2

Doust I; Weston A, 2024, Polygonal equalities and $p$-negative type, http://arxiv.org/abs/2404.06658v1

Doust I; Stoneham A, 2023, Tietze type extensions for absolutely continuous functions in the plane, http://arxiv.org/abs/2308.04628v1

Doust I; Wolf R, 2021, A problem on distance matrices of subsets of the Hamming cube, http://dx.doi.org/10.48550/arxiv.2109.07052

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

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

Blower G; Doust I, 2015, Operational calculus and integral transforms for groups with finite propagation speed, http://dx.doi.org/10.48550/arxiv.1509.00133

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

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

Blower G; Brett C; Doust I, 2013, Logarithmic Sobolev inequalities and spectral concentration for the cubic Schrödinger equation, http://dx.doi.org/10.48550/arxiv.1308.3649

Caffarelli E; Doust I; Weston A, 2010, Metric trees of generalized roundness one, http://dx.doi.org/10.48550/arxiv.1008.3418

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

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

Doust I; Weston A, 2007, Enhanced negative type for finite metric trees, http://dx.doi.org/10.48550/arxiv.0705.0411

Back to profile page