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oai:docta.ucm.es:20.500.14352/576182024-07-22T13:34:23Zcom_20.500.14352_14col_20.500.14352_15

00925njm 22002777a 4500 dc Martínez Ansemil, José María author Floret, Klaus author 1988 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. 0039-3223 https://hdl.handle.net/20.500.14352/57618 http://webmail.impan.gov.pl/sm/ http://webmail.impan.gov.pl/ The symmetric tensor product of a direct sum of locally convex spaces