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

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 43, Issue 1, 2006, pp.107-117
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2006.43.1.107

Title & Authors

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

Hirasawa Go; Miura Takeshi;

Hirasawa Go; Miura Takeshi;

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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