Gordon W. MacDonald

Description

Details

NameGordon W. MacDonald
PositionFaculty Member
Emailgmacdonald@upei.ca
Department(s)Mathematics and Statistics
Phone(902) 628-4329
BuildingCass Science Hall 310
Websitehttp://www.upei.ca/science/gordon-macdonald

Gordon W. MacDonald

Biography

Professor

BSc Math Honours, Dalhousie University (1984); MSc Math, University of Toronto (1985); PhD Math, University of Toronto (1989)

Dr. MacDonald works to better understand collections of matrices or operators, specifically their properties and structure. With widespread applications in all the disciplines of science, matrices are arrays of numbers and realizations of linear transformations that act on finite-dimensional spaces while operators are the infinite-dimensional analogues of matrices.


Recent Citations


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Research Interests

  • Operator Theory
  • Linear Algebra
  • Basic theoretical problems in mathematics

Grants

A more efficient matrix multiplication algorithm
  • Major Research Grant
  • University of Prince Edward Island
GRACE YEAR: Structure of bounded linear operators
  • Discovery Grant - Individual
  • Natural Science and Engineering Council

Other Scholars in Mathematics and Statistics

Citations

Step 1: Select your citations

TitleAuthor(s)
Paratransitive algebras of linear operatorsLivshits, L.; MacDonald, G.; Marcoux, L.W.; Radjavi, H.
Paratransitive algebras of linear operators IILivshits, L.; MacDonald, G.; Marcoux, L.W.; Radjavi, H.
A simultaneous Wielandt positivity theoremMacDonald, Gordon; Radjavi, Heydar
Expanding a bandMacDonald, Gordon W.
Ultraweakly closed algebras and preannihilatorsMacDonald, Gordon W.
Invariant subspaces for Bishop-type operatorsMacDonald, Gordon W.
A Kadison transitivity theorem for $C\sp *$-semigroupsLivshits, L.; MacDonald, G.; Marcoux, L. W.; Radjavi, H.
On operator bandsDrnovsek, R.; Livshits, L.; MacDonald, Gordon W.; Mathes, B.; Radjavi, H.; Semrl, P.
Invariant subspaces for multivariate Bishop-type operatorsMacDonald, Gordon W.
Matrix semigroups with commutable rankLivshits, L.; MacDonald, Gordon W.; Mathes, B.; Okninski, J.; Radjavi, H.
Hilbert spaces of q-shifted factorial seriesMacDonald, Gordon W.
Composition operators on the Newton spaceMacDonald, Gordon; Rosenthal, Peter
Constructing irreducible semigroups of idempotentsMacDonald, Gordon W.
Reducible semigroups of idempotent operatorsLivshits, L.; MacDonald, Gordon W.; Mathes, B.; Radjavi, H.
On transitive linear semigroupsDrnovsek, R.; Livshits, L.; MacDonald, Gordon W.; Mathes, B.; Radjavi, H.; Semrl, P.
Common fixed points and common eigenvectors for sets of matricesBernik, J.; Drnovsek, R.; Kosir, T.; Laffey, T.; MacDonald, Gordon W.; Meshulam, R.; Omladic, M.; Radjavi, H.
Distance from projections To nilpotentsMacDonald, Gordon W.
An irreducible semigroup of non-negative square-zero operatorsDrnovsek, R.; Kokol-Bukovsek, D.; Livshits, L.; MacDonald, Gordon W.; Omladic, M.; Radjavi, H.
Topologically transitive matrix semigroupsLivshits, Leo; MacDonald, Gordon; Radjavi, Heydar
Distance from Idempotents to NilpotentsMacDonald, Gordon W.
n-Transitivity and the complementation propertyLivshits, L.; MacDonald, Gordon W.
Intersections of nest algebras in finite dimensionsFillmore, P. A.; Longstaff, W. E.; MacDonald, Gordon W.; Radjavi, H.; Zhong, Y.
Standard triangularization of semigroups of non-negative operatorsMacDonald, Gordon W.; Radjavi, Heydar
Operator semigroups for which reducibility implies decomposabilityLivshits, L.; MacDonald, Gordon W.; Mathes, B.; Radjavi, H.
Decomposable weighted rotations on the unit circleMacDonald, Gordon W.
On band algebrasLivshits, L.; MacDonald, Gordon W.; Mathes, B.; Radjavi, H.
Towards a classification of maximal unicellular bandsFillmore, P.; MacDonald, Gordon W.; Radjabalipour, M.; Radjavi, H.

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Theses

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Metrics

TitleTimes viewedLast viewed
Paratransitive algebras of linear operators - ir:962319707:02:41 2015-07-29
Paratransitive algebras of linear operators II - ir:962920301:21:38 2015-07-30
Expanding a band - ir:ir-batch6-155735620:41:18 2015-07-30
Ultraweakly closed algebras and preannihilators - ir:ir-batch6-156736310:27:01 2015-07-30
Invariant subspaces for Bishop-type operators - ir:ir-batch6-156342012:42:29 2015-07-31
A Kadison transitivity theorem for $C\sp *$-semigroups - ir:72447104:34:29 2015-07-31
On operator bands - ir:ir-batch6-155536912:28:44 2015-07-31
Invariant subspaces for multivariate Bishop-type operators - ir:ir-batch6-156636523:09:58 2015-07-29
Matrix semigroups with commutable rank - ir:ir-batch6-155138007:47:58 2015-07-30
Hilbert spaces of q-shifted factorial series - ir:ir-batch6-156241505:42:53 2015-07-31
Composition operators on the Newton space - ir:72950817:09:09 2015-07-29
Constructing irreducible semigroups of idempotents - ir:ir-batch6-156535607:07:19 2015-07-31
Reducible semigroups of idempotent operators - ir:ir-batch6-155836723:05:06 2015-07-30
On transitive linear semigroups - ir:ir-batch6-155638002:36:18 2015-07-30
Common fixed points and common eigenvectors for sets of matrices - ir:ir-batch6-154940311:06:41 2015-07-31
Distance from projections To nilpotents - ir:ir-batch6-155935917:51:21 2015-07-29
An irreducible semigroup of non-negative square-zero operators - ir:ir-batch6-155333505:50:14 2015-07-31
Topologically transitive matrix semigroups - ir:72548813:35:46 2015-07-30
Distance from Idempotents to Nilpotents - ir:72848908:30:19 2015-07-29
n-Transitivity and the complementation property - ir:ir-batch6-155442201:42:32 2015-07-30
Intersections of nest algebras in finite dimensions - ir:ir-batch6-156135502:46:49 2015-07-30
Standard triangularization of semigroups of non-negative operators - ir:ir-batch6-152033522:39:15 2015-07-30
Operator semigroups for which reducibility implies decomposability - ir:ir-batch6-155035807:12:52 2015-07-31
Decomposable weighted rotations on the unit circle - ir:ir-batch6-156435310:39:05 2015-07-31
On band algebras - ir:ir-batch6-155235219:05:16 2015-07-28
Towards a classification of maximal unicellular bands - ir:ir-batch6-156036801:25:45 2015-07-30
A simultaneous Wielandt positivity theorem - ir:123112504:58:06 2015-07-30