Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664852 | Acta Mathematica Scientia | 2008 | 8 Pages |
Abstract
If T is an isomorphism of (c0) into C(Ω) (where Ω is a sequentially compact and paracompact space, or a compact metric space in particular), which satisfies the condition ||T||⋅||T-1||≤1+ɛ for some ɛ∈ (0, ⅕), then is close to an isometry with an error less than 9 ɛ. The proof of this article is simple without using the dual space or adjoint operator.
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