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Ansemil, José María M. and Floret, Klaus
(1988)
*The symmetric tensor product of a direct sum of locally convex spaces.*
Studia Mathematica, 129
(3).
pp. 285-295.
ISSN 0039-3223

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Official URL: http://webmail.impan.gov.pl/sm/

## Abstract

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.

Item Type: | Article |
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Uncontrolled Keywords: | symmetric tensor products; continuous n-homogeneous polynomials; tensor topologies |

Subjects: | Sciences > Mathematics > Topology |

ID Code: | 16794 |

Deposited On: | 22 Oct 2012 08:57 |

Last Modified: | 10 Aug 2018 09:00 |

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