Banach Journal of Mathematical Analysis

Factorizations of weighted EP Banach space operators and Banach algebra elements

Enrico Boasso, Dragan S. Djordjevic, and Dijana Mosic

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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 $C^*$-algebra elements.

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Banach J. Math. Anal., Volume 9, Number 3 (2015), 114-127.

First available in Project Euclid: 19 December 2014

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 46H05: General theory of topological algebras
Secondary: 47A68: Factorization theory (including Wiener-Hopf and spectral factorizations)

Weighted Banach space operator weighted Banach algebra element weighted Moore-Penrose inverse Hermitian element positive element


Boasso, Enrico; Djordjevic, Dragan S.; Mosic, Dijana. Factorizations of weighted EP Banach space operators and Banach algebra elements. Banach J. Math. Anal. 9 (2015), no. 3, 114--127. doi:10.15352/bjma/09-3-8.

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