Factorizations of EP operators
Dimosthenis Drivaliaris, Sotirios Karanasios, Dimitrios Pappas
TL;DR
This paper characterizes EP operators using various factorizations, extending known matrix results to operators and providing new insights into their structure.
Contribution
It introduces new factorizations that characterize EP operators, generalizing existing matrix characterizations to the operator setting.
Findings
Extended matrix EP characterizations to operators
Provided new factorizations for EP operators
Enhanced understanding of EP operator structure
Abstract
In this paper we characterize EP operators through the existence of different types of factorizations. Our results extend to EP operators existing characterizations for EP matrices and give new characterizations both for EP matrices and EP operators.
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Taxonomy
TopicsMatrix Theory and Algorithms · Advanced Topics in Algebra · Advanced Algebra and Logic