Relationship between the Hyers-Ulam Stability and the Moore-Penrose inverse
نویسندگان
چکیده
منابع مشابه
Ela Relationship between the Hyers–ulam Stability and the Moore–penrose Inverse
In this paper, a link between the Hyers–Ulam stability and the Moore–Penrose inverse is established, that is, a closed operator has the Hyers–Ulam stability if and only if it has a bounded Moore–Penrose inverse. Meanwhile, the stability constant can be determined in terms of the Moore– Penrose inverse. Based on this result, some conditions for the perturbed operators having the Hyers– Ulam stab...
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15 صفحه اولHyers-ulam Stability of Isometries
Let X and Y be real Banach spaces. A mapping q5 : X --t Y is called an &-isometry if 1 IIq5(z) ~$(y)jl 11% yI/ I 5 E holds for all z,y E X. If q5 is surjective, then its distance to the set of all isometries of X onto Y is at most yx~, where yx denotes the Jung constant of X.
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ژورنال
عنوان ژورنال: The Electronic Journal of Linear Algebra
سال: 2012
ISSN: 1081-3810
DOI: 10.13001/1081-3810.1564