Polynomial properties and symmetric tensor product of Banach spaces.

Bombal Gordón, FernandoFernández Unzueta, M.2023-06-202023-06-2020000003-889X10.1007/PL00000408https://hdl.handle.net/20.500.14352/57202We study some classes of distinguished subsets of a Banach space in terms of polynomials and their relationship. This allows us to develop a systematic approach to study polynomial properties on a Banach space. We apply this approach to obtain several known and new results on the symmetric tensor product of a Banach space in a unified way.engPolynomial properties and symmetric tensor product of Banach spaces.journal articlehttp://www.springerlink.com/content/0003-889x/http://www.springerlink.comrestricted access512Rosenthal subsetTensor product of Banach spaceProjective tensor productDistinguished subsetsDunford-Pettis subsetsSymmetric generator.Álgebra1201 Álgebra