Michael Mackey
Lecturer In Mathematics
School of Mathematics & Statistics
SCN 104B
UCD Belfield
Dublin 4
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Tel: +353 1 716 2587
Email: mackey © maths · ucd · ie
Biography
Professional
Associations
Association: Irish Mathematical Society, Function/Role: President 2015/16 
Association: Irish Mathematical Society, Function/Role: Vice President 2013/14 
Conference Contributions
Mackey, M. (2014) [Conference Organising Committee Member], Jordan Geometric Analysis and Applications, Queen Mary, Uinversity of London , 03SEP14  05SEP14. 
M. Mackey (2012) International conference on Jordan Theory and related topics in celebration of the 65th birthday of Professor ChoHo Chu webpage. [Invited Oral Presentation], Jordan Theory and Related Topics, Hong Kong , 30APR12  04MAY12. 
Mackey, M.; (2009) A four day meeting on Complex Analysis on Infinite Dimensional Spaces marking the retirement of Professor Sean Dineen from the UCD School of Mathematical Sciences. [Conference Organising Committee Member], Complex Analysis on Infinite Dimensional Spaces, University College Dublin , 23JUN09  26AUG09. 
Mackey, M.; (2008) A two day meeting on Jordan algebraic structures in analysis and geometry. [Conference Organising Committee Member], Jordan structures: nonassociative analysis and geometry, School of Mathematical Sciences at Queen Mary college, University of London , 05SEP08  06SEP08. 
Mackey, M.; (2005) Composition Operators on Bounded Symmetric Domains. [Invited Lecture], Infinite Dimensional Analysis, Kent State University, Ohio, USA , 09FEB05  13FEB05. 
Mackey, M.; (2006) Invited speaker : Confined Banach Spaces. [Invited Lecture], Workshop on Jordan Structures in analysis and geometry, Kaohsiung, Taiwan , 03APR06  07APR06. 
Committees
Committee : Irish Mathematical Society 
Employment
Employer: UCD Position: College Lecturer 
Other Activities
Research Funding

Publications
Peer Reviewed Journals
M. Mackey and W. G. Sullivan (2017) 'Exhaustion of an interval by iterated Rényi parking'. Journal of Mathematical Analysis and Applications, 446 (1):3861. [DOI] Link to full text [Details] 
P. Hoffmann, M. Mackey (2015) '(m,p)isometric and (m,infinity)isometric operator tuples on normed spaces'. AsianEuropean Journal of Mathematics, 8 (2). [DOI] Link to full text [Details] 
Mackey, M. (2013) 'Local derivations on Jordan triples'. Bulletin of the London Mathematical Society, 45 (4):811824. [DOI] Link to full text [Details] 
Philipp Hoffmann, Michael Mackey and Mícheál Ó Searcóid (2011) 'On the second parameter of an (m,p)isometry'. Integral Equations and Operator Theory, 71 (3):389405. [DOI] Link to full text [Details] 
Mackey, Michael (2009) 'Homotopes of JB*triples and a RussoDye theorem'. AsianEuropean Journal of Mathematics, 2 (3):465475. [DOI] Link to full text [Details] 
Hügli, Remo V. and Mackey, Michael (2009) 'Transitivity of inner automorphisms in infinite dimensional Cartan factors'. Mathematische Zeitschrift, 262 (1):125141. [DOI] Link to full text [Details] 
Dineen, Seán and Mackey, Michael (2006) 'Confined Banach spaces'. Archiv der Mathematik, 87 (3):227232. [DOI] [Details] 
Mackey, Michael and SevillaPeris, Pablo and Vallejo, José A.; (2006) 'Composition operators on weighted spaces of holomorphic functions on JB*triples'. Letters in Mathematical Physics, 76 (1):1926. [DOI] [Details] 
Chu, ChoHo and Mackey, Michael (2005) 'Isometries between JB*triples'. Mathematische Zeitschrift, 251 (3):615633. [DOI] [Details] 
Chu, C.H. and Hügli, R. V. and Mackey, M. (2004) 'The identity is isolated among composition operators'. Proceedings of the American Mathematical Society, 132 (11):33053308. [DOI] Link to full text [Details] 
Mackey, M. and Mellon, P.; (2004) 'A Schwarz lemma and composition operators'. Integral Equations Operator Theory, 48 (4):511524. [DOI] Link to full text [Details] 
Mackey, M. and Mellon, P.; (2003) 'Angular derivatives on bounded symmetric domains'. Israel J. Math, 138 :291315. [DOI] Link to full text [Details] 
Isidro, José M. and Mackey, Michael (2002) 'The manifold of finite rank projections in the algebra L(H) of bounded linear operators'. Expositiones Mathematicae, 20 (2):97116. [DOI] [Details] 
Mackey, M. and Mellon, P.; (2002) 'On an angular derivative result of Fan'. Math. Proc. R. Ir. Acad, 102A (1):115126. [DOI] [Details] 
Mackey, M. and Mellon, P. (2001) 'Compactlike manifolds associated to JB*triples'. Manuscripta Mathematica, 106 (2):203212. [DOI] [Details] 
Michael Mackey (2000) 'The Grassmannian manifold associated to a bounded symmetric domain'. Lecture Notes in Pure and Applied Mathematics, 214 :317323. [Details] 
Dineen, Seán and Mackey, Michael and Mellon, Pauline (1999) 'The density property for JB*triples'. Studia Mathematica, 137 (2):143160. [Details] 
Mackey, M. and Mellon, P. (1999) 'The quasiinvertible manifold of a JB*triple'. Extracta Mathematicae, 14 (1):5155. [Details] 
Published Reports
Michael Mackey (2015) Irish Mathematical Society President's Report. Irish Mathematical Society, Kildare. [Details] 
Michael Mackey (2016) Irish Mathematical Society President's Report. Irish Mathematical Society, Kildare. [Details] 
Translation
M. Maestre, A. Galbis (2012) Vector Analysis vs Vector Calculus. Springer, New York: Translation [Details] 
Research
Research Interests
I'm mainly interested in Jordan structures (especially JB*triples) which means knowing something of functional analysis, complex analysis, nonassociative algebras and calculus of manifolds. Let me give a short explanation of what a JB*triple is by way of example. Everybody (?) knows that the square matrices of size n form an algebra, that is, a vector space where one can add and multiply any two elements, and the associative law holds. If we symmetrise the product by 
Research Projects
Sponsor : Irish Research Council for Science Engineering and Technology (IRCSET) Title : Contractive projections and conditional expectations in operator algebrase Start Date / End Date : 01NOV05 / 31OCT07 
Recent Postgraduates
In 2013, Philipp Hoffmann completed his Ph.D. on the topic of genralised isometries in Banach spaces under the supervision of Mícheál Ó Searcóid and myself. Philipp currently works in NUI Maynooth. 