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HYERS-ULAM STABILITY OF A CLOSED OPERATOR IN A HILBERT SPACE
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 Title & Authors
HYERS-ULAM STABILITY OF A CLOSED OPERATOR IN A HILBERT SPACE
Hirasawa Go; Miura Takeshi;
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 Abstract
We give some necessary and sufficient 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.
 Keywords
Hyers-Ulam stability;closed operator;
 Language
English
 Cited by
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Hyers-Ulam Stability of Differentiation Operator on Hilbert Spaces of Entire Functions, Journal of Function Spaces, 2014, 2014, 1  crossref(new windwow)
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7.
On the best constant in Hyers–Ulam stability of some positive linear operators, Journal of Mathematical Analysis and Applications, 2014, 412, 1, 103  crossref(new windwow)
8.
On the stability of some positive linear operators from approximation theory, Bulletin of Mathematical Sciences, 2015, 5, 2, 147  crossref(new windwow)
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