RT Journal Article
T1 Tensor topologies on spaces of symmetric tensor products
A1 Martínez Ansemil, José María
A1 Ponte Miramontes, María Del Socorro
AB Here we show how, in the general context of locally convex spaces, it is possible to get an n-tensor topology (on spaces of n-tensor products) from an n-tensor topology on spaces of symmetric n-tensors products. Indeed, given an n-tensor topology on the spaces of symmetric n-tensor products we construct an n-tensor topology on the spaces of all n-tensor products whose restriction to the symmetric ones gives the original topology. Moreover, we prove that when one starts with an n-tensor topology, restricts it to symmetric tensors and then extends it, the original topology is obtained when it is symmetric, and we also obtain some results on complementation with applications to spaces of polynomials. Part of these results generalize to the context of locally convex spaces some Floret's results in [17] and [18].
PB Università del Salento
SN 1123-2536
YR 2006
FD 2006
LK https://hdl.handle.net/20.500.14352/50778
UL https://hdl.handle.net/20.500.14352/50778
LA eng
NO Dedicated to the memory of Klaus Floret (1941-2002)
DS Docta Complutense
RD 21 abr 2025