Let $X$ be reflexive Banach space, $F$ a function of $X$ into $X$ such that $F(u)=u+TN(u)$ where $T$ is linear and $N$ is nonlinear. Is $F(u)$ continuous from strong topology to weak topology? How can prove that?
2026-04-04 19:34:37.1775331277
function continuous from the strong topology to the weak topology
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