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Convergence of 'Periodic in the Limit' Operator Continued Fractions
Journal article   Peer reviewed

Convergence of 'Periodic in the Limit' Operator Continued Fractions

Robert C Busby and Wyman Fair
SIAM journal on mathematical analysis, v 10(3), pp 512-522
01 May 1979

Abstract

Algebra
By straightforward analysis, we prove a convergence theorem regarding continued fractions whose entries are members of a Banach algebra. If the entries converge fast enough to a certain fixed element, convergence is assured. Under suitable other restrictions, a stronger theorem results.

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