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Factorization in ordered Banach algebras

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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… Click to show full 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.

Keywords: factorization ordered; ordered banach; banach algebras

Journal Title: Positivity
Year Published: 2017

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