Math Is Fun Forum

pabodu

Member

Registered: 2013-02-23

Posts: 1

Is L^2[a,b] closed in L^1[a,b] ?

Is L^2[a,b] closed in L^1[a,b] ? Definitely, both L2 and L1-L2 are dense in L1. We treat L2 as a subset of L1 with ussal L1 metric.