Regularity of general weighted inductive limits.
JOCHEN WENGENROTH (1999)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Displaying similar documents to “Biduality in (LF)-spaces.”
Regularity of general weighted inductive limits.
Some applications of projective tensor products to holomorphy.
José M. Ansemi, Socorro Ponte (2000)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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On the quasinormability of Hb (U).
José M. Ansemil (1994)
Extracta Mathematicae
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Acyclic inductive spectra of Fréchet spaces
Jochen Wengenroth (1996)
Studia Mathematica
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We provide new characterizations of acyclic inductive spectra of Fréchet spaces which improve the classical theorem of Palamodov and Retakh. It turns out that acyclicity, sequential retractivity (defined by Floret) and further strong regularity conditions (introduced e.g. by Bierstedt and Meise) are all equivalent. This solves a problem that was folklore since around 1970. For inductive limits of Fréchet-Montel spaces we obtain even stronger results, in particular, Grothendieck's problem...
Some results on the duals of the inductive and projective limits of Moscatelli type.
Yolanda Meléndez (1992)
Extracta Mathematicae
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Some aspects of the modern theory of Fréchet spaces.
Klaus D. Bierstedt, José Bonet (2003)
RACSAM
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We survey some recent developments in the theory of Fréchet spaces and of their duals. Among other things, Section 4 contains new, direct proofs of properties of, and results on, Fréchet spaces with the density condition, and Section 5 gives an account of the modern theory of general Köthe echelon and co-echelon spaces. The final section is devoted to the developments in tensor products of Fréchet spaces since the negative solution of Grothendieck?s ?problème des topologies?. ...
Fréchet spaces of Moscatelli type.
José Bonet, Susanne Dierolf (1989)
Revista Matemática de la Universidad Complutense de Madrid
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Quasinormable spaces of polynomials.
José M. Ansemil (1997)
Extracta Mathematicae
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On two classes of LF-spaces
Bonet, J., Dierolf, S., Fernández, C. (1992)
Portugaliae mathematica
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Bounded linear maps between (LF)-spaces.
Angela A. Albanese (2003)
RACSAM
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Characterizations of pairs (E,F) of complete (LF)?spaces such that every continuous linear map from E to F maps a 0?neighbourhood of E into a bounded subset of F are given. The case of sequence (LF)?spaces is also considered. These results are similar to the ones due to D. Vogt in the case E and F are Fréchet spaces. The research continues work of J. Bonet, A. Galbis, S. Önal, T. Terzioglu and D. Vogt.