Is the following enough?
if $f=0$ , then the condition is satisfied. If $f=\lim f_n$ then we have $$\int_\mathbb{R}fd\lambda= \int_\mathbb{R}\lim_{n\to \infty} f_n d\lambda \leq \liminf_{n\to \infty} \int_\mathbb{R} f_n d\lambda \leq 1$$
2026-04-07 20:03:57.1775592237
if $\|f_n\|\leq 1$ then $\|f\|\leq 1$
64 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in REAL-ANALYSIS
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