If $B$ is a finite-dimensional Banach space then norm-coercivity and coercivity coincide since the weak and strong topologies coincide. However, if $B$ is infinite-dimensional, say $B=L^p$ for $p\in [1,\infty]$, then what are some examples of coercive functions on $B$?
2026-02-23 21:11:29.1771881089
Coervive Map on a Banach Space
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