Some generalizations of commutativity for linear transformations on a finite dimensional vector space

Some generalizations of commutativity for linear transformations on a finite dimensional vector space

<p>Let <i>L</i> be the algebra of all linear transformations on an n-dimensional vector space V over a field <i>F</i> and let A, B, Ɛ<i>L</i>. Let A<sub>i+1</sub> = A<sub>i</sub>B - BA<sub>i</sub>, i = 0, 1, 2,…, with A =...

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Bibliographic Details
Main Author:	Gaines, Fergus John
Format:	Others
Published:	1966
Online Access:	https://thesis.library.caltech.edu/9165/1/Gaines_fj_1966.pdf Gaines, Fergus John (1966) Some generalizations of commutativity for linear transformations on a finite dimensional vector space. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/PBNM-BZ75. https://resolver.caltech.edu/CaltechTHESIS:09222015-114033548 <https://resolver.caltech.edu/CaltechTHESIS:09222015-114033548>

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https://thesis.library.caltech.edu/9165/1/Gaines_fj_1966.pdf
Gaines, Fergus John (1966) Some generalizations of commutativity for linear transformations on a finite dimensional vector space. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/PBNM-BZ75. https://resolver.caltech.edu/CaltechTHESIS:09222015-114033548 <https://resolver.caltech.edu/CaltechTHESIS:09222015-114033548>