Geometry of nuclear spaces - I

B. Mityagin

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz") (1978-1979)

  • page 1-10

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Mityagin, B.. "Geometry of nuclear spaces - I." Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz") (1978-1979): 1-10. <http://eudml.org/doc/109205>.

@article{Mityagin1978-1979,
author = {Mityagin, B.},
journal = {Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")},
keywords = {Absolute Bases; Spaces Without Basis; Nuclear Spaces; Generalized Nuclear Koethe Spaces},
language = {eng},
pages = {1-10},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Geometry of nuclear spaces - I},
url = {http://eudml.org/doc/109205},
year = {1978-1979},
}

TY - JOUR
AU - Mityagin, B.
TI - Geometry of nuclear spaces - I
JO - Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
PY - 1978-1979
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 10
LA - eng
KW - Absolute Bases; Spaces Without Basis; Nuclear Spaces; Generalized Nuclear Koethe Spaces
UR - http://eudml.org/doc/109205
ER -

References

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  1. [1] L. Schwartz, Théorie des noyaux, Proc. of the ICM1 (1952), 220-230. Zbl0048.35102MR45307
  2. [2] A. Grothendieck, Produits tensoriels topologiques et espaces nucléaires, Memoirs A.M.S.16 (1955). Zbl0123.30301MR75539
  3. [3] Séminaire Maurey-Schwartz1974/74, Ecole Polytechnique, Palaiseau. 
  4. [4] A. Peczynski, Banach spaces of analytic functions and absolutely summing operators, CBMS, No 30, 1977, Providence, R.I. Zbl0384.46015
  5. [5] G. Köthe, Die Stufenräume, eine einfache Klasse linearer vollkommener Räume, Math. Z.51 (1948), 317-348. Zbl0031.03402MR27124
  6. [6] A. Dynin, B. Mityagin, Criterion for nuclearity in terms of approximative dimension, Bull Acad. Pol. Sci., ser. math., 8 (1960), 535-540. Zbl0104.08504MR132376
  7. [7] B. Mityagin, Approximative dimension and bases in nuclear spaces, Uspehi Matem. Nauk, 16, No 4 (1961), 63-132 (Russian). Zbl0104.08601MR152865
  8. [8] B. Mityagin, N. Zobin, Contre-exemple à l'existence d'une base dans un espace de Fréchet nucléaire, C. R. Acad. Sc. Paris, Ser. 1, 279 (1974), 255-256, 325-327. Zbl0312.46017
  9. [9] N. Zobin, B. Mityagin, Examples of nuclear Fréchet spaces, witthout basis, Functional. Anal. i Prilozen.8, No 4 (1974), 35-47 (Russian). Zbl0344.46014MR370123
  10. [10] N. Zobin, B. Mityagin, Continuum of pairwise-nonisomorphic nuclear Fréchet spaces without basis, Sibirsk. Matem. Journ.17, No 2 (1976), 249-258. Zbl0334.46018MR407559
  11. [11] P. Djakov, B. Mityagin, Modified construction of nuclear Fréchet spaces without basis, Journ. ofFunct. Analysis, 23, No 4 (1976), 415-433. Zbl0339.46004MR423037
  12. [12] C. Bessaga, A nuclear Fréchet space without basis, I ; variation on a theme of Djakov and Mityagin, Bull. Acad. Polon. Sci., ser. math24 (1976), 471-473. Zbl0358.46001MR454568
  13. [13] E. Dubinsky, Subspaces without bases in nuclear Fréchet spaces, Journ. ofFunct. Analysis26 (1977), 121-130. Zbl0444.46005MR458112
  14. [14] E. Dubinsky, B. Mityagin, Quotient spaces without bases in nuclear Fréchet spaces, Canad. Math. Journ.30, No. 6 (1978), 1296-1305. Zbl0399.46003MR511563
  15. [15] B. Mityagin, A nuclear Fréchet space without basis, II ; the case of strongly finite dimensional decomposition, Bull. Acad. Polon. Sci., ser. math.24 (1976), 474-478. Zbl0358.46002MR454569

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