Factorization in ordered Banach algebras
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DOI: 10.1007/s11117-016-0452-y
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;… read more here.
Keywords: factorization ordered; ordered banach; banach algebras;
Ordered Banach algebras and multi-norms: some open problems
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DOI: 10.1007/s11117-017-0488-7
Abstract: This is a list of open problems posed at the workshop on Ordered Banach Algebras held at the Lorentz Center, Leiden, during the week 21–25 July, 2014. read more here.
Keywords: ordered banach; multi norms; banach algebras; open problems ... See more keywords
The convergence of Abel averages and application to ordered Banach algebras
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DOI: 10.1007/s11117-021-00813-w
Abstract: Let $${\mathcal {B}}(X)$$ be the Banach algebra of all bounded linear operators on a Banach space X into itself. In this paper, we extend and simplify some results concerning the convergence in norm of Abel… read more here.
Keywords: abel; banach algebra; banach; convergence ... See more keywords