Essential codimension

Last updated on Friday, 17 April 2020

What is essential codimension?

Kadison’s Pythagorean theorem

essential codimension Pythagorean theorem $K$-theory
Jireh Loreaux
Jireh Loreaux
Assistant Professor of Mathematics

My research interests include operator theory and operator algebras

Related

Publications

$K_1$-injectivity of the Paschke dual algebra, and uniqueness

We prove that a large class of Paschke dual algebras of simple unital C*-algebras are $K_1$-injective. As a consequence, we obtain …
essential codimension arXiv: 2106.13370 [math.OA]

Remarks on essential codimension

We look for generalizations of the Brown–Douglas–Fillmore essential codimension result, leading to interesting local …
essential codimension doi: 10.1007/s00020-019-2560-0 arXiv: 1902.09367 [math.OA]

Restricted diagonalization of finite spectrum normal operators and a theorem of Arveson

Kadison characterized the diagonals of projections and observed the presence of an integer, which Arveson later recognized as a …
essential codimension diagonals of operators doi: 10.7900/jot.2017dec01.2221 arXiv: 1712.06554 [math.OA] html

Kadison's Pythagorean Theorem and essential codimension

Kadison’s Pythagorean theorem (2002) provides a characterization of the diagonals of projections with a subtle integrality …
essential codimension diagonals of operators doi: 10.1007/s00020-017-2365-y arXiv: 1609.06754 [math.OA] html