RT Journal Article
T1 The symmetric tensor product of a direct sum of locally convex spaces
A1 Ansemil, José María M.
A1 Floret, Klaus
AB An explicit representation of the n-fold symmetric tensor product (equipped with a natural topology tau such as the projective, injective or inductive one) of the finite direct sum of locally convex spaces is presented. The formula for circle times(tau,delta)(n)(F-1 circle plus F-2) gives a direct proof of a recent result of Diaz and Dineen land generalizes it to other topologies tau) that the n-fold projective symmetric and the n-fold projective "full" tensor product of a Iocally convex space fare isomorphic if E is isomorphic to its square E-2.
PB Polish Acad Sciencies Inst Mathematics
SN 0039-3223
YR 1988
FD 1988
LK https://hdl.handle.net/20.500.14352/57618
UL https://hdl.handle.net/20.500.14352/57618
LA eng
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NO UCM
DS Docta Complutense
RD 1 dic 2023