Noncommutative Continued Fractions

Name: Noncommutative Continued Fractions
Creator: Fair, Wyman
Keywords: Normed linear spaces and Banach spaces; Banach lattices, 0101 mathematics, 01 natural sciences, Continued fractions; complex-analytic aspects, functional analysis

Fair, Wyman

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SIAM Journal on Mathematical Analysis

Article . 1971 . Peer-reviewed

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https://dx.doi.org/10.1137/050...

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Noncommutative Continued Fractions

Noncommutative continued fractions

descriptionPublicationkeyboard_double_arrow_right Article 01 May 1971 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Mathematical Analysis, volume 2, pages 226-232 (issn: 0036-1410, eissn: 1095-7154,

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Authors: Fair, Wyman;

doi: 10.1137/0502020

Noncommutative Continued Fractions

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Abstract

A number of theorems are proved concerning the convergence of continued fractions whose entries are linear operators on a Banach space. These theorems are analogues of some of the well-known results for ordinary continued fractions.

Keywords

Normed linear spaces and Banach spaces; Banach lattices, Continued fractions; complex-analytic aspects, functional analysis

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