HYERS-ULAM STABILITY OF A CLOSED OPERATOR IN A HILBERT SPACE

HYERS-ULAM STABILITY OF A CLOSED OPERATOR IN A HILBERT SPACE
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DOI:
10.4134/bkms.2006.43.1.107
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发表时间:
2006-02
影响因子:
0.5
通讯作者:
Go Hirasawa;T. Miura
Go Hirasawa;T. Miura
中科院分区:
数学4区
文献类型:
--
作者:
Go Hirasawa;T. Miura

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给出了Hilbert空间中的闭算子在另一个Hilbert空间中具有Hyers-Ulam稳定性的充要条件。此外,我们还证明了闭算子稳定常数的存在性。我们还确定了稳定常数的下限。
We give some necessary and su-cient conditions in order that a closed operator in a Hilbert space into another have the Hyers-Ulam stability. Moreover, we prove the existence of the stability constant for a closed operator. We also determine the stability constant in terms of the lower bound.