arXiv subjects

Jyh-Shyang Jeang

Publications and source records attributed to Jyh-Shyang Jeang.

2 recordsLinked to original sources

arXiv1996

Into isometries of $C_0(X,E)$'s

Suppose $X$ and $Y$ are locally compact Hausdorff spaces, $E$ and $F$ are Banach spaces and $F$ is strictly convex. We show that every linear isometry $T$ from $C_0(X,E)$ {\em into} $C_0(Y,F)$ is essentially a weighted composition operator $Tf(y) = h(y) (f(φ(y)))$. This supplements results of Jerison (when $T$ is onto) and Cambern (when $X,Y$ are compact).

math.FA↗

arXiv1996

Weighted composition operators of $C_0(X)$'s

In this paper, we prove that into isometries and disjointness preserving linear maps from $C_0(X)$ into $C_0(Y)$ are essentially weighted composition operators $Tf = h\cdot f\circφ$ for some continuous map $φ$ and some continuous scalar-valued function $h$.

math.FA↗