It is simple to prove that this is the same condition on L as continuity, for the topologies induced from the norms.
... population is spread out with 29.3% under the age of 18, 9.6% from 18 to 24, 30.3% from 25 to 44, 20.9% from 45 to 64, and 9.8% who are 65 years of age or older. Th ...