A Pringsheim-type convergence criterion for continued fractions in Banach algebras

DOI10.1016/j.jat.2012.11.003zbMath1275.46034OpenAlexW2020895447MaRDI QIDQ1935759

Hendrik Baumann

Publication date: 19 February 2013

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2012.11.003

zbMATH Keywords

continued fractions in Banach algebrasmatrix continued fractionsPringsheim-type convergence criterion

Mathematics Subject Classification ID

Topological algebras, normed rings and algebras, Banach algebras (46H99) Summability in abstract structures (40J05)

Related Items (4)

Generalized continued fractions: a unified definition and a Pringsheim-type convergence criterion ⋮ Two-sided continued fractions in Banach algebras -- a Śleszyński-Pringsheim-type convergence criterion and applications ⋮ Non-commutative double-sided continued fractions ⋮ Algebraic reduction methods and their applications to matrix continued fractions

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