Browsing Mathematics (Faculty of) by Author "Cramer, Zachary"

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Compressible Matrix Algebras and the Distance from Projections to Nilpotents

Cramer, Zachary (University of Waterloo, 2019-11-15)

In this thesis we address two problems from the fields of operator algebras and operator theory. In our first problem, we seek to obtain a description of the unital subalgebras $\mathcal{A}$ of $\mathbb{M}_n(\mathbb{C})$ ...
MATRIX ALGEBRAS WITH A CERTAIN COMPRESSION PROPERTY I

Cramer, Zachary; Marcoux, Laurent W.; Radjavi, Heydar (Elsevier, 2021-07-15)

An algebra A of n × n complex matrices is said to be projection compressible if P AP is an algebra for all orthogonal projections P ∈ Mn(C). Analogously, A is said to be idempotent compressible if EAE is an algebra for all ...