Projective limits of weighted (LB)-spaces of continuous functions

被引:0
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作者
Simone Agethen
Klaus D. Bierstedt
José Bonet
机构
[1] University of Paderborn,Mathematical Institute
[2] Universidad Politécnica de Valencia,Instituto Universitario de Matemática Pura y Aplicada IUMPA
来源
Archiv der Mathematik | 2009年 / 92卷
关键词
Primary 46E10; Secondary: 46A13, 46M18, 46M40; (PLB)-spaces; derived projective limit functor; weighted spaces of continuous functions;
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摘要
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.
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页码:384 / 398
页数:14
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