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Conditions for Almost Commuting Matrices to be Nearly Commuting

Abstract 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.
Created Date 2015-05
Contributor Molloy, Riley Phillip (Author) / Spielberg, Jack (Thesis Director) / Quigg, John (Committee Member) / Barrett, The Honors College / School of Mathematical and Statistical Sciences / Department of Physics
Subject Spectral Theory / Pure Mathematics / Analysis
Series Academic Year 2014-2015
Type Text
Extent 42 pages
Language English
Reuse Permissions All Rights Reserved
Collaborating Institutions Barrett, the Honors College
Additional Formats MODS / OAI Dublin Core / RIS

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