On the structure of G-spaces

• Autorzy: Jesús M. F. Castillo
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1991
• Tom: 62
• Numer: 1
• Strony: 81-90

Daty

wydano

1991

otrzymano

1989-01-30

poprawiono

1989-08-28

Twórcy

autor

Jesús M. F. Castillo

• Departamento de Matemáticas, Universidad de Extremadura, Avda. de Elvas S/N, 06071 Badajoz, Spain

Bibliografia

• [1] S. F. Bellenot, Each Schwartz Fréchet space is a subspace of a Schwartz Fréchet space with an unconditional basis, Compositio Math. 42 (1981), 273-278.
• [2] A. Benndorf, On the relation of the bounded approximation property and a finite dimensional decomposition in nuclear Fréchet spaces, Studia Math. 75 (1983), 103-119.
• [3] J. M. F. Castillo, An internal characterization of G-spaces, Portugal. Math. 44 (1987), 63-67.
• [4] J. M. F. Castillo, La estructura de los G-espacios, Tesis Doctoral, Publ. Dept. Mat. Univ. Extremadura 16, 1986.
• [5] J. M. F. Castillo, On the BAP in Fréchet Schwartz spaces and their duals, Monatsh. Math. 105 (1988), 43-46.
• [6] E. Dubinsky, The Structure of Nuclear Fréchet Spaces, Lecture Notes in Math. 720, Springer, 1979.
• [7] A. Grothendieck, Produits tensoriels topologiques et espaces nucléaires, Mem. Amer. Math. Soc. 16 (1955).
• [8] H. Jarchow, Locally Convex Spaces, B. G. Teubner, Stuttgart 1981.
• [9] G. Köthe, Topological Vector Spaces I, II, Springer, 1969, 1979.
• [10] M. L. Lourenço, A projective limit representation of DFC-spaces with the approximation property, J. Math. Anal. Appl. 115 (1986), 422-433.
• [11] E. Nelimarkka, The approximation property and locally convex spaces defined by the ideal of approximable operators, Math. Nachr. 107 (1982), 349-356.
• [12] S. Rolewicz, On operator theory and control theory, in: Proc. Internat. Conf. on Operator Algebras, Ideals, and their Applications in Theoretical Physics, Leipzig 1977, Teubner Texte zur Math., Teubner, 1978, 114-118.
• [13] M. Schottenloher, Cartan-Thullen theorem for domains spread over DFM-spaces, J. Reine Angew. Math. 345 (1983), 201-220.
• [14] T. Terzioğlu, Approximation property of co-nuclear spaces, Math. Ann. 191 (1971), 35-37.