Projective limits of weighted (LB)-spaces of continuous functions |
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| Authors: | Simone Agethen Klaus D. Bierstedt José Bonet |
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| Affiliation: | (1) Mathematical Institute, University of Paderborn, Warburger Str. 100, D-33098 Paderborn, Germany;(2) Instituto Universitario de Matemática Pura y Aplicada IUMPA, Universidad Politécnica de Valencia, E-46071 Valencia, Spain |
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| Abstract: | ![]()
Countable projective spectra of countable inductive limits, called (PLB)-spaces, of weighted Banach spaces of continuous functions are investigated. It is characterized when the derived projective limit functor vanishes in terms of the sequences of the weights defining the spaces. The locally convex properties of the corresponding projective limits are analyzed, too. Received: 30 January 2009 |
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| Keywords: | Mathematics Subject Classification (2000). Primary 46E10 Secondary: 46A13, 46M18, 46M40 |
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