Regularity of general weighted inductive limits.

JOCHEN WENGENROTH

Displaying similar documents to “Regularity of general weighted inductive limits.”

Biduality in (LF)-spaces.

Klaus D. Bierstedt, José Bonet (2001)

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En la Sección 1 se pueban resultados abstractos sobre preduales y sobre bidualidad de espacios (LF). Sea E = ind E un espacio (LF), ponemos H = ind H para una sucesión de subespacios de Fréchet H de E con H ⊂ H. Investigamos bajo qué condiciones el espacio E es canónicamente (topológicamente isomorfo a) el bidual inductivo (H')' o (incluso) al bidual fuerte de H. Los resultados abstractos se aplican en la Sección 2, especialmente a espacios (LF) ponderados de funciones holomorfas, pero...

Some results in weighted Fréchet and LB-spaces of Moscatelli type.

Y. Meléndez (1992)

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Associated weights and spaces of holomorphic functions

Klaus Bierstedt, José Bonet, Jari Taskinen (1998)

Studia Mathematica

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When treating spaces of holomorphic functions with growth conditions, one is led to introduce associated weights. In our main theorem we characterize, in terms of the sequence of associated weights, several properties of weighted (LB)-spaces of holomorphic functions on an open subset $G \subset ℂ^{N}$ which play an important role in the projective description problem. A number of relevant examples are provided, and a “new projective description problem” is posed. The proof of our main result can also...

On Weighted Inductive Limits of Spaces of Continuous Function.

José Bonet (1986)

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Weighted topology in the non-locally convex setting

L. A. Khan (1985)

Matematički Vesnik

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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)

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On two classes of LF-spaces

Bonet, J., Dierolf, S., Fernández, C. (1992)

Portugaliae mathematica

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On weighted inductive limits of non-Archimedean spaces of continuous functions

A. K. Katsaras, V. Benekas (2000)

Bollettino dell'Unione Matematica Italiana

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Si studiano alcune proprietà di un certo limite induttivo di spazi non-archimedei di funzioni continue. In particolare, si esamina la completezza di questo limite induttivo e si indaga il problema di quando lo spazio coincide con il proprio inviluppo proiettivo.