Factoring absolutely summing operators through Hilbert-Schmidt operators
Factoring absolutely summing operators through Hilbert-Schmidt operators
Let K be a compact Hausdorff space, and let C(K) be the corresponding Banach space of continuous functions on K . It is well-known that every 1-summing operator S:C(K)→l 2 is also nuclear, and therefore factors S = S 1 S 2 , with S 1 :l 2 →l 2 …