Stability of the surjectivity of endomorphisms and isometries of <IMG ALIGN=MIDDLE >期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Stability of the surjectivity of endomorphisms and isometries of

Authors:	Lajos Molná r

Institution:	Institute of Mathematics, Lajos Kossuth University, 4010 Debrecen, P.O.Box 12, Hungary

Abstract:	We determine the largest positive number with the property that whenever $\Phi,\Psi$ are endomorphisms, respectively unital isometries of the algebra of all bounded linear operators acting on a separable Hilbert space, $\\| \Phi(A)-\Psi (A)\\|<c\\| A\\|$ holds for every nonzero and $\Phi$ is surjective, then so is $\Psi$ . It turns out that in the first case we have , while in the second one .

Keywords:	Endomorphisms isometries operator algebras Jordan *-homomorphisms

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