# Complementation in spaces of symmetric tensor products and polynomials

Studia Mathematica (1997)

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

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topBlasco, 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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- [10] A. Grothendieck, Produits tensoriels topologiques et espaces nucléaires, Mem. Amer. Math. Soc. 16 (1955).
- [11] H. Jarchow, Locally Convex Spaces, Teubner, Stuttgart, 1981. Zbl0466.46001
- [12] G. Köthe, Topological Vector Spaces I, Grundlehren Math. Wiss. 159, 2nd ed., Springer, New York, 1969. Zbl0179.17001
- [13] G. Köthe, Topological Vector Spaces II, Grundlehren Math. Wiss. 237, Springer, New York, 1979. Zbl0417.46001
- [14] R. A. Ryan, Applications of topological tensor products to infinite dimensional holomorphy, Ph.D. Thesis Trinity College, Dublin, 1980.
- [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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