Banach spaces of homogeneous polynomials without the approximation property
Seán Dineen, Jorge Mujica (2015)
Czechoslovak Mathematical Journal
Similarity:
We present simple proofs that spaces of homogeneous polynomials on and provide plenty of natural examples of Banach spaces without the approximation property. By giving necessary and sufficient conditions, our results bring to completion, at least for an important collection of Banach spaces, a circle of results begun in 1976 by R. Aron and M. Schottenloher (1976).