Waterloo Research
This is the University of Waterloo Research collection.
Waterloo faculty, students, and staff can contact us or visit the UWSpace guide to learn more about depositing their research.
NOTE: This collection does not include graduate Theses & Dissertations or Major Research Projects.
All Items in this collection are subject to copyright.
Recent deposits

A spatial version of Wedderburn’s Principal Theorem
(Taylor & Francis, 2015)In this article we verify that ‘Wedderburn’s Principal Theorem’ has a particularly pleasant spatial implementation in the case of cleft subalgebras of the algebra of all linear transformations on a finitedimensional vector ... 
Universal bounds for positive matrix semigroups
(Polish Academy of Sciences, 2016)We show that any compact semigroup of positive n×n matrices is similar (via a positive diagonal similarity) to a semigroup bounded by n√. We give examples to show this bound is best possible. We also consider the effect ... 
Reducibility of operator semigroups and values of vector states
(Springer, 20170801)Let S be a multiplicative semigroup of bounded linear operators on a complex Hilbert space H, and let Ω be the range of a vector state on S so that Ω = {⟨Sξ, ξ⟩ : S ∈ S} for some fixed unit vector ξ ∈ H. We study the ... 
Compact ideals and rigidity of representations for amenable operator algebras
(Polish Academy of Sciences, 2019)We examine rigidity phenomena for representations of amenable operator algebras which have an ideal of compact operators. We establish that a generalized version of Kadison’s conjecture on completely bounded homomorphisms ... 
Residual finite dimensionality and representations of amenable operator algebras
(Elsevier, 20190415)We consider a version of a famous open problem formulated by Kadison, asking whether bounded representations of operator algebras are automatically completely bounded. We investigate this question in the context of amenable ... 
Abelian, amenable operator algebras are similar to C∗ algebras
(Duke University Press, 201612)Suppose that H is a complex Hilbert space and that ℬ(H) denotes the bounded linear operators on H. We show that every abelian, amenable operator algebra is similar to a C∗algebra. We do this by showing that if 𝒜⊆ℬ(H) is ... 
Ranges of vector states on irreducible operator semigroups
(Springer, 2016)Let 𝜑 be a linear functional of rank one acting on an irreducible semigroup S of operators on a finite or infinitedimensional Hilbert space. It is a wellknown and simple fact that the range of 𝜑 cannot be a singleton. ... 
On selfadjoint extensions of semigroups of partial isometries
(American Mathematical Society, 2016)Let S be a semigroup of partial isometries acting on a complex, infinite dimensional, separable Hilbert space. In this paper we seek criteria which will guarantee that the selfadjoint semigroup T generated by S consists ... 
Linear preservers of polynomial numerical hulls of matrices
(Elsevier, 20190815)Let Mn be the algebra of all n × n complex matrices, 1 ≤ k ≤ n − 1 be an integer, and φ : Mn −→ Mn be a linear operator. In this paper, it is shown that φ preserves the polynomial numerical hull of order k if and only if ... 
Defining Haptic Experience: Foundations for Understanding, Communicating, and Evaluating HX
(ACM, 20200425)Haptic technology is maturing, with expectations and evidence that it will contribute to user experience (UX). However, we have very little understanding about how haptic technology can influence people’s experience. ... 
Computing lower rank approximations of matrix polynomials
(Elsevier, 202005)Given an input matrix polynomial whose coefficients are floating point numbers, we consider the problem of finding the nearest matrix polynomial which has rank at most a specified value. This generalizes the problem of ... 
Measuring wellbeing performance of carbon emissions using hybrid measure and metafrontier techniques: Empirical tests for G20 countries and implications for China
(Elsevier, 20191110)A quantitative measure of performance that integrates nationallevel carbon emission profiles with key parameters of social and economic wellbeing can provide an effective management tool for policy interventions. This ... 
Energy Consumption Analysis of XRP Validator
(2020)The XRP Ledger is an opensource payment system with a primary focus on providing an efficient crossborder payment network. The network achieves distributed consensus and prevents doublespending all while remaining ... 
A lowpower dynamic comparator for lowoffset applications
(Elsevier, 201911)In this paper, a lowpower method for doubletail comparators is introduced. Using the proposed method, the power consumption of the preamplifier which is the dominant part is reduced considerably. Thanks to this method, ... 
Variable pay: Is it for the worker or the firm?
(Elsevier, 201910)Why do firms pay their workers with variable pay? The standard explanation appeals to a problem that the worker faces, e.g., agency. We develop a model of variable pay endogenously driven by the capital structure problem ... 
Wisdom is a socialecological rather than personcentric phenomenon
(Elsevier, 202004)Typical approaches to study practical wisdom are personcentric, use flawed methods, and produce insights of little relevance to the construct’s definition. We propose that understanding the processes underlying practical ... 
Incentivizing evaluation with peer prediction and limited access to ground truth
(Elsevier, 201910)In many settings, an effective way of evaluating objects of interest is to collect evaluations from dispersed individuals and to aggregate these evaluations together. Some examples are categorizing online content and ... 
Nishga Initiative and Missionary Response: Robert Doolan at Quinwoch, B.C.
(SAGE, 19810701)In this historical study of the work of pioneer missionary Robert Doolan, Professor Patterson points out the initiative shown by the Nishga people of the northwest coast of British Columbia and how this interest helped ... 
Can virtual water trade save water resources?
(Elsevier, 20191015)At times, certain areas of China suffering from water shortages. While China's government is spurring innovation and infrastructure to help head off such problems, it may be that some water conservation could help as well. ... 
Gold nanoparticles as dehydrogenase mimicking nanozymes for estradiol degradation
(Elsevier, 201909)Nanozyme catalysis has been mainly focused on a few chromogenic and fluorogenic substrates, while environmentally and biologically important compounds need to be tested to advance the field. In this work, we studied oxidation ...