Some results about operators on L1. Issue 5 (11th August 2016) - Riel, Zachariah C.
Abstract: Let (Ω, Σ, µ ) be a probability space. We give a few results about operators on L 1 ( µ ). Among these, we show that if T is a bounded linear operator on L 1 ( µ ) which acts as a Hilbert-Schmidt operator on L 2 ( µ ), then T : L 1 ( µ ) → L 1 ( µ ) is representable.