Some characterizations of the automorphisms of $B(H)$ and $C(X)$

Mathematics – Functional Analysis

Scientific paper

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11 pages. To appear in Proc. Amer. Math. Soc

Scientific paper

We present some nonlinear characterizations of the automorphisms of the
operator algebra $B(H)$ and the function algebra $C(X)$ by means of their
spectrum preserving properties.

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