A simple proof of Brown's diagonalizability theorem
Benjamin Steinberg
TL;DR
This paper offers a straightforward proof of Brown's diagonalizability theorem, which applies to specific elements within the algebra of a left regular band, including probability measures.
Contribution
It provides a simplified proof of Brown's diagonalizability theorem for elements in the algebra of a left regular band, enhancing understanding and accessibility.
Findings
Proof simplifies understanding of Brown's theorem
Applicable to probability measures within the algebra
Clarifies diagonalizability conditions
Abstract
We present here a simple proof of Brown's diagonalizability theorem for certain elements of the algebra of a left regular band, including probability measures.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Advanced Mathematical Identities · Bayesian Methods and Mixture Models