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INTERPOLATION BY ANALYTIC FUNCTIONS ON PREDUALS OF LORENTZ SEQUENCE SPACES

Published online by Cambridge University Press:  06 December 2006

M. L. LOURENÇO  and
L. PELLEGRINI
M. L. LOURENÇO
Affiliation:
Departamento de Matemática, Universidade de São Paulo, CP 66281, CEP: 05311-970 São Paulo, Brazil e-mail: mllouren@ime.usp.br
L. PELLEGRINI
Affiliation:
Escola de Artes Ciências e Humanidades, Universidade de São Paulo, CP 66281, CEP: 03828-000 São Paulo, Brazil e-mail: leonardo@ime.usp.br
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Abstract

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Let $(e_n)$ be the canonical basis of the predual of the Lorentz sequence space $d_{*}(w,1).$ We consider the restriction operator $R$ associated to the basis $(e_i)$ from some Banach space of analytic functions into the complex sequence space and we characterize the ranges of $R.$

Keywords

46G20
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 48 , Issue 3 , September 2006 , pp. 483 - 490
Copyright
2006 Glasgow Mathematical Journal Trust