INTERPOLATION BY ANALYTIC FUNCTIONS ON PREDUALS OF LORENTZ SEQUENCE SPACES
Glasgow mathematical journal, Tome 48 (2006) no. 3, pp. 483-490
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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 $R.$
LOURENÇO, M. L.; PELLEGRINI, L. INTERPOLATION BY ANALYTIC FUNCTIONS ON PREDUALS OF LORENTZ SEQUENCE SPACES. Glasgow mathematical journal, Tome 48 (2006) no. 3, pp. 483-490. doi: 10.1017/S0017089506003235
@article{10_1017_S0017089506003235,
author = {LOUREN\c{C}O, M. L. and PELLEGRINI, L.},
title = {INTERPOLATION {BY} {ANALYTIC} {FUNCTIONS} {ON} {PREDUALS} {OF} {LORENTZ} {SEQUENCE} {SPACES}},
journal = {Glasgow mathematical journal},
pages = {483--490},
year = {2006},
volume = {48},
number = {3},
doi = {10.1017/S0017089506003235},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089506003235/}
}
TY - JOUR AU - LOURENÇO, M. L. AU - PELLEGRINI, L. TI - INTERPOLATION BY ANALYTIC FUNCTIONS ON PREDUALS OF LORENTZ SEQUENCE SPACES JO - Glasgow mathematical journal PY - 2006 SP - 483 EP - 490 VL - 48 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089506003235/ DO - 10.1017/S0017089506003235 ID - 10_1017_S0017089506003235 ER -
%0 Journal Article %A LOURENÇO, M. L. %A PELLEGRINI, L. %T INTERPOLATION BY ANALYTIC FUNCTIONS ON PREDUALS OF LORENTZ SEQUENCE SPACES %J Glasgow mathematical journal %D 2006 %P 483-490 %V 48 %N 3 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089506003235/ %R 10.1017/S0017089506003235 %F 10_1017_S0017089506003235
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