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Poster Name:
Alpha Zeta Psi Secrets

Poster Message:
Now for f ∈ Lp, p ̸= ∞, we can truncate f in the domain and range to obtain bounded functions with compact support, fM → f . Since f −fM → 0 pointwise and |f −fM|p ≤ |f|p, dominated convergence shows ∥f −fM∥p → 0. Finally we can find step, continuous or smooth functions gn → FM pointwise, and bounded in the same way. Then 􏰍 |gn −FM |p → 0 by bounded convergence, so such functions are dense.