Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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HYERS-ULAM STABILITY OF A CLOSED OPERATOR IN A HILBERT SPACE

  • Hirasawa Go (DEPARTMENT OF MATHEMATICS, NIPPON INSTITUTE OF TECHNOLOGY, MIYASHIRO) ;
  • Miura Takeshi (DEPARTMENT OF BASIC TECHNOLOGY, APPLIED MATHEMATICS AND PHYSICS, YAMAGATA UNIVERSITY)
  • Published : 2006.02.01
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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.

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References

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