Complementation in spaces of symmetric tensor products and polynomials

Fernando Blasco

Studia Mathematica (1997)

  • Volume: 123, Issue: 2, page 165-173
  • ISSN: 0039-3223

Abstract

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For a locally convex space E we prove that the space of n-symmetric tensors is complemented in the space of (n+1)-symmetric tensors endowed with the projective topology. Applications and related results are also given.

How to cite

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Blasco, Fernando. "Complementation in spaces of symmetric tensor products and polynomials." Studia Mathematica 123.2 (1997): 165-173. <http://eudml.org/doc/216385>.

@article{Blasco1997,
abstract = {For a locally convex space E we prove that the space of n-symmetric tensors is complemented in the space of (n+1)-symmetric tensors endowed with the projective topology. Applications and related results are also given.},
author = {Blasco, Fernando},
journal = {Studia Mathematica},
keywords = {symmetric tensor; polynomial; complementation; locally convex space; space of -symmetric tensors; projective topology},
language = {eng},
number = {2},
pages = {165-173},
title = {Complementation in spaces of symmetric tensor products and polynomials},
url = {http://eudml.org/doc/216385},
volume = {123},
year = {1997},
}

TY - JOUR
AU - Blasco, Fernando
TI - Complementation in spaces of symmetric tensor products and polynomials
JO - Studia Mathematica
PY - 1997
VL - 123
IS - 2
SP - 165
EP - 173
AB - For a locally convex space E we prove that the space of n-symmetric tensors is complemented in the space of (n+1)-symmetric tensors endowed with the projective topology. Applications and related results are also given.
LA - eng
KW - symmetric tensor; polynomial; complementation; locally convex space; space of -symmetric tensors; projective topology
UR - http://eudml.org/doc/216385
ER -

References

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  11. [11] H. Jarchow, Locally Convex Spaces, Teubner, Stuttgart, 1981. Zbl0466.46001
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  14. [14] R. A. Ryan, Applications of topological tensor products to infinite dimensional holomorphy, Ph.D. Thesis Trinity College, Dublin, 1980. 
  15. [15] J. Taskinen, Counterexamples to "Problème des topologies" of Grothendieck, Ann. Acad. Sci. Fenn. Ser. A I Math. 63 (1986), 1-25. Zbl0612.46069

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