Biography
Professor
BSc (Dalhousie); MSc, PhD (Toronto)
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 Publications
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A note on the structure of matrix ^*-subalgebras with scalar diagonals
- Operators and Matrices, 2021
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Hilbert space operators with compatible off-diagonal corners
- ArXiv, 2017
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A Perron-Frobenius-type theorem for positive matrix semigroups
- Positivity, 2016
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A simultaneous Wielandt positivity theorem
- Positivity, 2015
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A spatial version of Wedderburn's principal theorem
- Linear and Multilinear Algebra, 2015
Research Classification
- no classification
Research Interests
Current Scholars in Mathematical and Computational Sciences
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