Abstract
We present multiplicative factorizations of positive elements in decomposing ordered Banach algebras. In order to apply strong factorization results to the Wiener algebra, we introduce the concept of semi-strongly decomposing algebras. Several applications are considered; including factorizations of M-matrices, regular operators and Laurent polynomials.
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Acknowledgments
We thank an anonymous referee for his extremely careful remarks for corrections and improvements.
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Förster, KH., Kallus, P. Factorization in ordered Banach algebras. Positivity 21, 711–738 (2017). https://doi.org/10.1007/s11117-016-0452-y
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DOI: https://doi.org/10.1007/s11117-016-0452-y