Factorizations of weighted EP Banach space operators and Banach algebra elements
Enrico Boasso, Dragan S. Djordjevic, Dijana Mosic
TL;DR
This paper extends known characterizations of weighted EP matrices, Hilbert space operators, and C*-algebra elements to Banach space operators and Banach algebra elements using various factorizations.
Contribution
It introduces new factorizations to characterize weighted EP properties in Banach space operators and Banach algebra elements, broadening the scope of existing results.
Findings
Extended characterizations of weighted EP operators to Banach spaces
Developed new factorizations for Banach algebra elements
Unified framework for EP properties across different algebraic structures
Abstract
Weighted EP Banach space operators and Banach algebra elements are characterized using different kinds of factorizations. The results presented extend well-known characterizations of (weighted) EP matrices, (weighted) EP Hilbert space operators and (weighted) EP -algebra elements.
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