Associate Professor Ian Doust

Doust I; Leinert M; Stoneham A, 2023, 'Approximation in AC(σ)', Banach Journal of Mathematical Analysis, vol. 17, http://dx.doi.org/10.1007/s43037-022-00229-y

Doust I; Leinert M; Stoneham A, 2023, 'The Banach Algebras AC(σ) and BV(σ)', Results in Mathematics, vol. 78, http://dx.doi.org/10.1007/s00025-022-01788-0

Doust I; Wolf R, 2022, 'A PROBLEM ON DISTANCE MATRICES OF SUBSETS OF THE HAMMING CUBE', Proceedings of the American Mathematical Society, Series B, vol. 9, pp. 125 - 134, http://dx.doi.org/10.1090/bproc/122

Al-Shakarchi S; Doust I, 2021, 'ISOMORPHISMS OF BV (σ) SPACES', Operators and Matrices, vol. 15, pp. 1581 - 1596, http://dx.doi.org/10.7153/oam-2021-15-101

Al-shakarchi S; Doust I, 2021, 'AC(σ) spaces for polygonally inscribed curves', Banach Journal of Mathematical Analysis, vol. 15, http://dx.doi.org/10.1007/s43037-020-00110-w

Amini-Harandi A; Doust I; Robertson G, 2021, 'Roundness properties of Banach spaces', Journal of Functional Analysis, vol. 281, pp. 109230 - 109230, http://dx.doi.org/10.1016/j.jfa.2021.109230

Doust I; Robertson G; Stoneham A; Weston A, 2021, 'Distance matrices of subsets of the Hamming cube', Indagationes Mathematicae, vol. 32, pp. 646 - 657, http://dx.doi.org/10.1016/j.indag.2021.01.004

Al-shakarchi S; Doust I, 2020, 'Isomorphisms of $AC(σ)$ spaces for linear graphs', Advances in Operator Theory, http://dx.doi.org/10.1007/s43036-020-00053-x

Blower G; Brett C; Doust I, 2019, 'Statistical mechanics of the periodic Benjamin-Ono equation', Journal of Mathematical Physics, vol. 60, pp. 093302 - 093302, http://dx.doi.org/10.1063/1.5091737

Doust I, 2019, 'A note on positive $\mathcal{AN}$ operators', Bulletin of the Australian Mathematical Society, vol. 100, pp. 129 - 130, http://dx.doi.org/10.1017/S0004972718001296

Blower G; Doust I, 2017, 'Operational calculus and integral transforms for groups with finite propagation speed', Advances in Pure and Applied Mathematics, vol. 8, pp. 265 - 283, http://dx.doi.org/10.1515/apam-2015-0049

Doust I; Sánchez S; Weston A, 2017, 'Asymptotic negative type properties of finite ultrametric spaces', Journal of Mathematical Analysis and Applications, vol. 446, pp. 1776 - 1793, http://dx.doi.org/10.1016/j.jmaa.2016.09.069

Blower G; Brett C; Doust I, 2016, 'Hill's spectral curves and the invariant measure of the periodic KdV equation', Bulletin des Sciences Mathematiques, vol. 140, pp. 864 - 899, http://dx.doi.org/10.1016/j.bulsci.2016.03.005

Doust I; Leinert M, 2015, 'Isomorphisms of $AC(σ)$ spaces', Studia Mathematica, vol. 228, pp. 7 - 31, http://dx.doi.org/10.4064/sm228-1-3

Blower G; Brett C; Doust I, 2014, 'Logarithmic Sobolev inequalities and spectral concentration for the cubic Schrödinger equation', Stochastics, vol. 86, pp. 870 - 881, http://dx.doi.org/10.1080/17442508.2014.882924

Doust I; Sánchez S; Weston A, 2014, 'A direct proof that ℓ∞(3) has generalized roundness zero', Expositiones Mathematicae, vol. Available online 25 June 2014, pp. 259 - 267, http://dx.doi.org/10.1016/j.exmath.2014.06.001

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

Caffarelli E; Doust I; Weston A, 2012, 'Metric trees of generalized roundness one', Aequationes Mathematicae, vol. 83, pp. 239 - 256, http://dx.doi.org/10.1007/s00010-011-0108-8

Doust IR; Ashton B, 2011, 'AC(σ) operators', Journal of Operator Theory, vol. 65, pp. 255 - 279

Doust IR; Terauds V, 2010, 'Extensions of an AC(σ) functional calculus', Journal of Mathematical Analysis and Applications, vol. 362, pp. 100 - 106, http://dx.doi.org/10.1016/j.jmaa.2009.10.001

Doust IR; Ashton B, 2009, 'Compact AC(σ) operators', Integral Equations and Operator Theory, vol. 63, pp. 459 - 472, http://dx.doi.org/10.1007/s00020-009-1667-0

Doust I; Weston A, 2008, 'Corrigendum to "Enhanced negative type for finite metric trees" [J. Funct. Anal. 254 (2008) 2336-2364] (DOI:10.1016/j.jfa.2008.01.013)', Journal of Functional Analysis, vol. 255, pp. 532 - 533, http://dx.doi.org/10.1016/j.jfa.2008.03.018

Doust IR; Lancien G, 2008, 'The spectral type of sums of operators on non-Hilbertian Banach lattices', Journal of the Australian Mathematical Society, vol. 84, pp. 193 - 198, http://dx.doi.org/10.1017/S1446788708000244

Doust IR; Weston A, 2008, 'Enhanced negative type for finite metric trees', Journal of Functional Analysis, vol. 254, pp. 2336 - 2364, http://dx.doi.org/10.1016/j.jfa.2008.01.013

Ashton B; Doust IR, 2006, 'A comparison of algebras of functions of bounded variation', Proceedings of the Edinburgh Mathematical Society, vol. 49, pp. 575 - 591, http://dx.doi.org/10.1017/S0013091504001130

Ashton BC; Doust IR, 2005, 'Functions of bounded variation on compact subsets of the plane', Studia Mathematica, vol. 169, pp. 163 - 188, http://dx.doi.org/10.4064/sm169-2-5

Blower G; Doust IR, 2005, 'A maximal theorem for holomorphic semigroups', Quarterly Journal of Mathematics, vol. 56, pp. 21 - 30, http://dx.doi.org/10.1093/qmath/hah024

Doust I; Hirschhorn MD; Ho J, 2005, 'Trigonometric Identities, Linear Algebra, and Computer Algebra', The American Mathematical Monthly, vol. 112, pp. 155 - 164, http://dx.doi.org/10.1080/00029890.2005.11920179

Doust IR; Gillespie TA, 2005, 'Schur multiplier projections on the Von Neumann-Schatten Classes', Journal of Operator Theory, vol. 53, pp. 251 - 272

Doust IR; Hirschhorn MD; Ho J, 2005, 'Trigonometric identities, linear algebra, and computer algebra', American Mathematical Monthly, vol. 112, pp. 155 - 164, http://dx.doi.org/10.2307/30037413

Doust IR; Gillespie TA, 2003, 'Well-boundedness of sums and products of operators', Journal of the London Mathematical Society - Second Series, vol. 68, pp. 183 - 192, http://dx.doi.org/10.1112/S0024610703004447

Ashton BC; Cheng Q; Doust IR, 2002, 'Some remarks on well-bounded and scalar-type decomposable operators', Houston Journal of Mathematics, vol. 28, pp. 849 - 864

Cheng Q; Doust IR, 2001, 'Well-bounded operators on non-reflexive Banach spaces II', Quaestiones Mathematicae, vol. 24, pp. 183 - 191, http://dx.doi.org/10.1080/16073606.2001.9639206

Cheng QP; Doust I, 2001, 'Compact well-bounded operators', GLASGOW MATHEMATICAL JOURNAL, vol. 43, pp. 467 - 475, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000173689400014&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1

Qingping C; Doust I, 2001, 'Compact well-bounded operators', Glasgow Mathematical Journal, vol. 43, pp. 467 - 475, http://dx.doi.org/10.1017/s0017089501030087

Doust IR; Gillespie TA, 2000, 'An example in the theory of AC-operators', Proceedings of the American Mathematical Society, vol. 129, pp. 1453 - 1457

Berkson E; Doust IR; Gillespie TA, 1997, 'Properties of AC-operators', ACTA Scientiarum Mathematicarum, pp. 249 - 271

Cheng Q; Doust IR, 1997, 'The dual theory of well-bounded operators', Journal of Operator Theory, pp. 35 - 50

Cheng Q; Doust IR, 1996, 'Well-bounded operators on nonreflexive Banach spaces', Proceedings of the American Mathematical Society, vol. 124, pp. 799 - 808

Cowling MG; Doust IR; Mcintosh A; Yagi A, 1996, 'Banach space operators with bounded H^{infinity} functional calculus', Journal of the Australian Mathematical Society Series A - Pure Mathematics and Statistics, vol. 60, pp. 51 - 89

Doust IR; Walden BL, 1996, 'Compact AC-operators', Studia Mathematica, vol. 117, pp. 275 - 287

Doust I, 1994, 'A weaker condition for normality', Glasgow Mathematical Journal, vol. 36, pp. 249 - 253, http://dx.doi.org/10.1017/S0017089500030792

Doust IR; deLaubenfels R, 1994, 'Functional Calculus, Integral Representations, and Banach Space Geometry', Quaestiones Mathematicae, vol. 17, pp. 161 - 171, http://dx.doi.org/10.1080/16073606.1994.9631755

DOUST I; BOZHOU Q, 1993, 'THE SPECTRAL THEOREM FOR WELL-BOUNDED OPERATORS', JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, vol. 54, pp. 334 - 351, http://dx.doi.org/10.1017/S1446788700031827

Doust I; Ricker WJ, 1992, 'Spectral projections for Hermitian operators', Linear Algebra and Its Applications, vol. 175, pp. 75 - 96, http://dx.doi.org/10.1016/0024-3795(92)90303-R

Doust IR, 1992, 'Interpolation and extrapolation of well-bounded operators', Journal of Operator Theory, vol. 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, vol. 17, pp. 43 - 46

Doust I, 1989, 'Well-Bounded And Scalar-Type Spectral Operators On l^pSpaces', Journal of the London Mathematical Society, vol. 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, vol. 105, pp. 367 - 370, http://dx.doi.org/10.1090/S0002-9939-1989-0939963-X

Blower G; Doust I, 2022, Linear systems, Hankel products and the sinh-Gordon equation, http://arxiv.org/abs/2210.07086v1

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

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, Centre for Mathematics and its Applications (CMA), 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 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 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

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

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