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Barrett, The Honors College at Arizona State University proudly showcases the work of undergraduate honors students by sharing this collection exclusively with the ASU community.

Barrett accepts high performing, academically engaged undergraduate students and works with them in collaboration with all of the other academic units at Arizona State University. All Barrett students complete a thesis or creative project which is an opportunity to explore an intellectual interest and produce an original piece of scholarly research. The thesis or creative project is supervised and defended in front of a faculty committee. Students are able to engage with professors who are nationally recognized in their fields and committed to working with honors students. Completing a Barrett thesis or creative project is an opportunity for undergraduate honors students to contribute to the ASU academic community in a meaningful way.

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Conditions for Almost Commuting Matrices to be Nearly Commuting

Description
Almost commuting matrices, i.e. matrices with a sufficiently small commutator, may be nearly commuting, i.e. there may exist matrices close by which do commute. By referencing current literature, this condition is studied for fixed dimension, unitary, self-adjoint, and orthogonal matrices. These proofs are made more accessible and compared to each…

Almost commuting matrices, i.e. matrices with a sufficiently small commutator, may be nearly commuting, i.e. there may exist matrices close by which do commute. By referencing current literature, this condition is studied for fixed dimension, unitary, self-adjoint, and orthogonal matrices. These proofs are made more accessible and compared to each other, providing insight to possible future progress in the field.
ContributorsMolloy, Riley Phillip (Author) / Spielberg, Jack (Thesis director) / Quigg, John (Committee member) / Barrett, The Honors College (Contributor) / School of Mathematical and Statistical Sciences (Contributor) / Department of Physics (Contributor)
Created2015-05