David P. Kimsey

activity

20142026

most citedThe spectral theorem for quaternionic unbounded normal operators based on the S-spectrum

5 citations · 13 across the 14 of their papers we have counts for

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Showing 2021Show all

2 papers · 1 filter

math.FA2021

The spectral theorem for normal operators on a Clifford module

Fabrizio Colombo, David P. Kimsey

In this paper, using the recently discovered notion of the $S$ -spectrum, we prove the spectral theorem for a bounded or unbounded normal operator on a Clifford module (i.e., a two-…

math.FA2021

Universality property of the $S$ -functional calculus, noncommuting matrix variables and Clifford operators

Fabrizio Colombo, Jonathan Gantner, David P. Kimsey +1

The spectral theory on the $S$ -spectrum was born out of the need to give quaternionic quantum mechanics (formulated by Birkhoff and von Neumann) a precise mathematical foundation.…

The spectral theorem for normal operators on a Clifford module

Universality property of the S-functional calculus, noncommuting matrix variables and Clifford operators

Universality property of the $S$ -functional calculus, noncommuting matrix variables and Clifford operators