Geometry of nuclear spaces. II - Linear topological invariants
Séminaire d'Analyse fonctionnelle (dit "Maurey-Schwartz") (1978-1979), Exposé no. 2, 10 p.
partie précédente Geometry of nuclear spaces - I
partie suivante Geometry of nuclear spaces. III - Spaces of holomorphic functions 
@article{SAF_1978-1979____A2_0,
     author = {Mityagin, B.},
     title = {Geometry of nuclear spaces. {II} - {Linear} topological invariants},
     journal = {S\'eminaire d'Analyse fonctionnelle (dit "Maurey-Schwartz")},
     note = {talk:2},
     pages = {1--10},
     publisher = {Ecole Polytechnique, Centre de Math\'ematiques},
     year = {1978-1979},
     mrnumber = {557359},
     zbl = {0408.46004},
     language = {en},
     url = {http://archive.numdam.org/item/SAF_1978-1979____A2_0/}
}
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Mityagin, B. Geometry of nuclear spaces. II - Linear topological invariants. Séminaire d'Analyse fonctionnelle (dit "Maurey-Schwartz") (1978-1979), Exposé no. 2, 10 p. http://archive.numdam.org/item/SAF_1978-1979____A2_0/

[1] A.N. Kolmogoroff, On linear dimension of topological vector spaces (Russian), Dokl. Akad. USSR, vol. 120 (1958), 239-241. | MR | Zbl

[2] A. Peczynski, On the approximation of S-spaces by finite dimensional spaces, Bull. Acad. Polon. Sci., ser. math., vol. 5, No 9 (1957), 879-881. | MR | Zbl

[3] B.S. Mityagin, Approximative dimension and bases in nuclear spaces (Russian), Uspehi Matem. Nauk, vol. 16, No 4 (1961), 63-132. | MR | Zbl

[4] C. Bessaga, A. Peczynski, S. Rolewicz, On diametral approximative dimension and linear homogeneity of F-spaces, Bull. Acad. Polon. Sci., ser. math. 9 (1961), 677-683. | MR | Zbl

[5] A. Pietsch, Nukleare Lokalkonvexe Raume, Berlin, 1965. | MR | Zbl

[6] B. Mityagin, Sur l'équivalence des bases inconditionnelles dans les échelles de Hilbert, C. R. Acad. Sc. Paris, t. 269 (1969), 426-428. | Zbl

B. Mityagin, Equivalence of bases in Hilbert scales (Russian), Studia Math., vol. 37 No 2 (1971), 111-137. | MR | Zbl

[7] B. Mityagin, Geometry of linear spaces and linear operators (Russian), in "Theory of operators in function spaces", ed. by G.P. Akilov, "Nauka", Novosibirsk, 1977. | MR

[8] V. Zaharyuta, On isomorphism and quasiequivalence of bases in Köthe power spaces (Russian), Dokl. Akad. Nauk USSR, vol. 221 (1975), 772-774; and in " Operator theory in linear spacrs", ed. by B. Mityagin, CEMI AS USSR, Moscow, 1976, 101-126. | MR | Zbl

[9] V. Zararyuta, Generalized Mityagin invariants and cohtinuum of pairwise-nonisomorphic spaces of holomorphic functions, Function. Analyz (Russian), vol. 11, No 3 (1977), 24-30. | MR | Zbl

[10] B. Mityagin, expose I de ce volume. | Numdam

[11] M.M. Dvagilev, Regular bases in nuclear spaces (Russian), Matem. Sborn., vol. 68 (1965), 153-173. | MR | Zbl

V.P. Kondakov, On quasiequivalence of regular bases in Köthe spaces (Russian), Matem. Analyz i ego priloz., vol. 5, Rostov State Univ., Rostov-on-Don, 1974, 210-213. | Zbl

L. Crone, W. Robinson, Every nuclear Fréchet space with a regular basis has the quasi-equivalence property, Studia Math. 52, No 3 (1975), 203-207. | MR | Zbl

P. Djakov, A short proof of the theorem on quasiequivalence of regular bases, Studia Math. 53, No 3 (1975). | Zbl