INTERPOLATION BY ANALYTIC FUNCTIONS ON PREDUALS OF LORENTZ SEQUENCE SPACES

INTERPOLATION BY ANALYTIC FUNCTIONS ON PREDUALS OF LORENTZ SEQUENCE SPACES

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 $R.$

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Veröffentlicht in:Glasgow mathematical journal 2006-09, Vol.48 (3), p.483-490
Hauptverfasser: LOURENÇO, M. L., PELLEGRINI, L.
Format: Artikel
Sprache:eng
Schlagworte:
46G20
Mathematics
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Zusammenfassung: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 $R.$
ISSN:0017-0895
1469-509X
DOI:10.1017/S0017089506003235