- Thread starter
- #1
Let $a=(a_k)$ be a fixed element of the metric space $l_p$, where $l_p$ is equipped with its usual metric. I need to prove that the function $f:{l_p} \rightarrow {l_p}$ defined by $f:{(x_k)}\mapsto({5x_k}+{a_k})$ is continuous. Is is uniformly continuous?
Can anyone help?
Can anyone help?
Last edited by a moderator: