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Rates of approximation and ergodic limits of resolvent families

✍ Scribed by Jung-Chan Chang; Sen-Yen Shaw

Publisher
Springer
Year
1996
Tongue
English
Weight
575 KB
Volume
66
Category
Article
ISSN
0003-889X

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πŸ“œ SIMILAR VOLUMES

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This paper is concerned with the convergence rates of two processes \(\left\{A_{x}\right\}\) and \(\left\{B_{x}\right\}\), under the assumption that \(\left\|A_{x}\right\|=O(1)\) and there is a closed operator \(A\) such that \(B_{x} A \subset A B_{x}=I-A_{x},\left\|A A_{x}\right\|=O(e(\alpha))\), a

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This paper is concerned with non-optimal rates of convergence for two processes [A : ] and [B : ], which satisfy &A : &=O(1), B : A/AB : =I&A : , &AA : &=O(e(:)), where A is a closed operator and e(:) Γ„ 0. Under suitable conditions, we describe, in terms of K-functionals, those x (resp. y) for which