Complementation in spaces of symmetric tensor products and polynomials. (English) Zbl 0870.46028

Blasco, Fernando

Stud. Math. 123, No. 2, 165-173 (1997).

Summary: For a locally convex space \(E\) we prove that the space of \(n\)-symmetric tensors is complemented in the space of \((n+1)\)-symmetric tensors endowed with the projective topology. Applications and related results are also given.

MSC:

46G20	Infinite-dimensional holomorphy
46M05	Tensor products in functional analysis
46A03	General theory of locally convex spaces
46B28	Spaces of operators; tensor products; approximation properties

Keywords:

locally convex space; space of \(n\)-symmetric tensors; projective topology