Norms of summation methods
Published online by Cambridge University Press: 24 October 2008
Extract
We shall understand the norm, h(A) of a regular matrix A = (amn) to be
The method has a norm, ‖ ‖, ‖ ‖ ≥ 1, given by ‖ ‖ = inf h(A) where the inf is taken over all the matrix methods equivalent to for bounded sequences (b-equivalent). These definitions are due essentially to Brudno(1) though his definition of
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 54 , Issue 3 , July 1958 , pp. 354 - 357
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- Copyright © Cambridge Philosophical Society 1958
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