Some lower bound estimates for resolvents of a compact operator on an infinite-dimensional Hilbert space

Some lower bound estimates for resolvents of a compact operator on an infinite-dimensional Hilbert space
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无限维希尔伯特空间上紧算算子的一些下界估计

DOI:
10.1016/j.cam.2019.112561
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发表时间:
2020
影响因子:
2.4
通讯作者:
Nakao Mitsuhiro T.
Nakao Mitsuhiro T.
中科院分区:
数学2区
文献类型:
--
作者:
Kinoshita Takehiko;Watanabe Yoshitaka;Nakao Mitsuhiro T.

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本文给出了无限维Hilbert空间上紧算子A的预解式的一些下估计。通常,在适当的条件下,解式的上估计是已知的,但下估计是未知的。这些估计使我们能够计算适合的结果近似的预解式。
This paper presents some lower estimates for resolvents of a compact operator A on an infinite-dimensional Hilbert space. Usually, upper estimates for resolvents are known under suitable conditions but lower estimates are not known. These estimates enable us to calculate suitability results for approximation of a resolvent.
DOI: 10.1007/bf00945108
发表时间: 1990
期刊: Zeitschrift für angewandte Mathematik und Physik ZAMP
影响因子: --
作者:
M. Plum
通讯作者: M. Plum