Abstract: The main results of this talk are: 1. $X$ and $Y$ be a compact Hausdorff spaces and $E$ be a Banach lattice. Then $C(X,E)$ and $C(Y)$ are Riesz isomorhic if and only if $X$ and $Y$ are homeomorphic and $E$ is isomorphic to $R$. 2. (As a corollary) Let $K$ and $M$ be topological spaces and $T$ be a lattice homomorphism from $C(K)$ into $C(M)$ with $T(1)=1$. Then, if $T(rf)=rT(f)$ for each $r\in R$ then $T$ is linear.

Zafer Ercan (METU)

General Seminar, 06.05.2004