By Associate Professor Ian Doust

Journal articles

Doust I; Leinert M; Stoneham A, 2023, 'The Banach Algebras AC(σ) and BV(σ)', Results in Mathematics, 78, pp. 20, http://dx.doi.org/10.1007/s00025-022-01788-0

Doust I; Leinert M; Stoneham A, 2023, 'Approximation in AC(σ)', Banach Journal of Mathematical Analysis, 17, pp. 5, http://dx.doi.org/10.1007/s43037-022-00229-y

Blower G; Doust I, 2023, 'Linear systems, Hankel products and the sinh-Gordon equation', Journal of Mathematical Analysis and Applications, 525, pp. 127140 - 127140, http://dx.doi.org/10.1016/j.jmaa.2023.127140

Doust I; Wolf R, 2022, 'A PROBLEM ON DISTANCE MATRICES OF SUBSETS OF THE HAMMING CUBE', Proceedings of the American Mathematical Society, Series B, 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, 15, pp. 1581 - 1596, http://dx.doi.org/10.7153/oam-2021-15-101

Amini-Harandi A; Doust I; Robertson G, 2021, 'Roundness properties of Banach spaces', Journal of Functional Analysis, 281, pp. 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, 32, pp. 646 - 657, http://dx.doi.org/10.1016/j.indag.2021.01.004

Al-shakarchi S; Doust I, 2021, 'AC(σ) spaces for polygonally inscribed curves', Banach Journal of Mathematical Analysis, 15, pp. 31, http://dx.doi.org/10.1007/s43037-020-00110-w

Al-shakarchi S; Doust I, 2020, 'Isomorphisms of $AC(σ)$ spaces for linear graphs', Advances in Operator Theory, 5, 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, 60, pp. 093302, http://dx.doi.org/10.1063/1.5091737

Doust I, 2019, 'A NOTE ON POSITIVE AN OPERATORS', Bulletin of the Australian Mathematical Society, 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, 8, pp. 265 - 283, http://dx.doi.org/10.1515/apam-2015-0049

Doust I; Sánchez S; Weston A; Sanchez S, 2017, 'Asymptotic negative type properties of finite ultrametric spaces', Journal of Mathematical Analysis and Applications, 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, 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, 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, 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, Available online 25 June 2014, 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, 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, 65, pp. 255 - 279

Doust IR; Terauds V, 2010, 'Extensions of an AC(σ) functional calculus', Journal of Mathematical Analysis and Applications, 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, 63, pp. 459 - 472

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, 255, pp. 532 - 533, http://dx.doi.org/10.1016/j.jfa.2008.03.018

Doust IR; Weston A, 2008, 'Enhanced negative type for finite metric trees', Journal of Functional Analysis, 254, pp. 2336 - 2364

Doust IR; Lancien G, 2008, 'The spectral type of sums of operators on non-Hilbertian Banach lattices', Journal of the Australian Mathematical Society, 84, pp. 193 - 198

Ashton B; Doust IR, 2006, 'A comparison of algebras of functions of bounded variation', Proceedings of the Edinburgh Mathematical Society, 49, pp. 575 - 591

Blower G; Doust IR, 2005, 'A maximal theorem for holomorphic semigroups', Quarterly Journal of Mathematics, 56, pp. 21 - 30

Ashton BC; Doust IR, 2005, 'Functions of bounded variation on compact subsets of the plane', Studia Mathematica, 169, pp. 163 - 188

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

Doust IR; Hirschhorn MD; Ho J, 2005, 'Trigonometric identities, linear algebra, and computer algebra', American Mathematical Monthly, 112, pp. 155 - 164

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

Doust IR; Gillespie TA, 2003, 'Well-boundedness of sums and products of operators', Journal of the London Mathematical Society - Second Series, 68, pp. 183 - 192

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

Cheng QP; Doust I, 2001, 'Compact well-bounded operators', GLASGOW MATHEMATICAL JOURNAL, 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, 43, pp. 467 - 475, http://dx.doi.org/10.1017/s0017089501030087

Cheng Q; Doust IR, 2001, 'Well-bounded operators on non-reflexive Banach spaces II', Quaestiones Mathematicae, pp. 183 - 191

Doust IR; Gillespie TA, 2000, 'An example in the theory of AC-operators', Proceedings of the American Mathematical Society, 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

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, pp. 51 - 89

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

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

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

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

DOUST I; BOZHOU Q, 1993, 'THE SPECTRAL THEOREM FOR WELL-BOUNDED OPERATORS', JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 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, 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, 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 l^pSpaces', Journal of the London Mathematical Society, s2-39, pp. 525 - 534, http://dx.doi.org/10.1112/jlms/s2-39.3.525

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