# Compound invariants and embeddings of Cartesian products

P. Chalov; P. Djakov; V. Zahariuta

Studia Mathematica (1999)

- Volume: 137, Issue: 1, page 33-47
- ISSN: 0039-3223

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topChalov, P., Djakov, P., and Zahariuta, V.. "Compound invariants and embeddings of Cartesian products." Studia Mathematica 137.1 (1999): 33-47. <http://eudml.org/doc/216673>.

@article{Chalov1999,

abstract = {New compound geometric invariants are constructed in order to characterize complemented embeddings of Cartesian products of power series spaces. Bessaga's conjecture is proved for the same class of spaces.},

author = {Chalov, P., Djakov, P., Zahariuta, V.},

journal = {Studia Mathematica},

keywords = {isomorphic classification; Köthe spaces; finite and infinite power series spaces; Bessaga's conjecture; compound invariants; embeddings of Cartesian products; Fréchet space; geometric invariants; power series spaces; complemented subspace},

language = {eng},

number = {1},

pages = {33-47},

title = {Compound invariants and embeddings of Cartesian products},

url = {http://eudml.org/doc/216673},

volume = {137},

year = {1999},

}

TY - JOUR

AU - Chalov, P.

AU - Djakov, P.

AU - Zahariuta, V.

TI - Compound invariants and embeddings of Cartesian products

JO - Studia Mathematica

PY - 1999

VL - 137

IS - 1

SP - 33

EP - 47

AB - New compound geometric invariants are constructed in order to characterize complemented embeddings of Cartesian products of power series spaces. Bessaga's conjecture is proved for the same class of spaces.

LA - eng

KW - isomorphic classification; Köthe spaces; finite and infinite power series spaces; Bessaga's conjecture; compound invariants; embeddings of Cartesian products; Fréchet space; geometric invariants; power series spaces; complemented subspace

UR - http://eudml.org/doc/216673

ER -

## References

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- [12] B. S. Mityagin, Approximative dimension and bases in nuclear spaces, Uspekhi Mat. Nauk 16 (1961), no. 4, 63-132 (in Russian). Zbl0104.08601
- [13] B. S. Mityagin, Sur l'équivalence des bases inconditionnelles dans les échelles de Hilbert, C. R. Acad. Sci. Paris 269 (1969), 426-428. Zbl0186.44704
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