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Corrigendum: Convergence theorems for intermediate problems

Published online by Cambridge University Press:  14 November 2011

Christopher A. Beattie  and
W. M. Greenlee
Christopher A. Beattie
Affiliation:
Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061–4097, U.S.A.
W. M. Greenlee
Affiliation:
Department of Mathematics, University of Arizona, Tucson, Arizona 85721, U.S.A.
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Extract

Professor R. D. Brown has brought to our attention an error in our Theorem 4.2. This would, in turn, invalidate Theorem 3.6 which depends on Theorem 4.2. The basic flaw is that the alignment hypothesis of Proposition 4.1 is not satisfied by the product space projections, Qn. Interestingly, such product space constructions are a common computational device in applications of the T*T method, but apparently seldom satisfy the alignment hypothesis of Proposition 4.1. We wish here to correct these theorems, and comment on the resulting implications for Example 6.1. In independent and as yet unpublished work, Professor Brown has obtained further new results on convergence of the method of intermediate problems.

Type
Correction
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 104 , Issue 3-4 , 1986 , pp. 349 - 350
Copyright
Copyright © Royal Society of Edinburgh 1986

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