EXTENSIONS OF POLYNOMIALS ON PREDUALS OF LORENTZ SEQUENCE SPACES
Glasgow mathematical journal, Tome 47 (2005) no. 2, pp. 395-403
Voir la notice de l'article provenant de la source Cambridge
We show that there is a unique norm-preserving extension for norm-attaining 2-homogeneous polynomials on the predual $d_*(w,1)$ of a complex Lorentz sequence space $d(w,1)$ to $d^*(w,1)$, but there is no unique norm-preserving extension from $\mathcal{P}(^nd_*(w,1))$ to $\mathcal{P}(^nd^*(w,1))$ for $n\geq3$.
CHOI, YUN SUNG; HAN, KWANG HEE; SONG, HYUN GWI. EXTENSIONS OF POLYNOMIALS ON PREDUALS OF LORENTZ SEQUENCE SPACES. Glasgow mathematical journal, Tome 47 (2005) no. 2, pp. 395-403. doi: 10.1017/S0017089505002624
@article{10_1017_S0017089505002624,
author = {CHOI, YUN SUNG and HAN, KWANG HEE and SONG, HYUN GWI},
title = {EXTENSIONS {OF} {POLYNOMIALS} {ON} {PREDUALS} {OF} {LORENTZ} {SEQUENCE} {SPACES}},
journal = {Glasgow mathematical journal},
pages = {395--403},
year = {2005},
volume = {47},
number = {2},
doi = {10.1017/S0017089505002624},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089505002624/}
}
TY - JOUR AU - CHOI, YUN SUNG AU - HAN, KWANG HEE AU - SONG, HYUN GWI TI - EXTENSIONS OF POLYNOMIALS ON PREDUALS OF LORENTZ SEQUENCE SPACES JO - Glasgow mathematical journal PY - 2005 SP - 395 EP - 403 VL - 47 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089505002624/ DO - 10.1017/S0017089505002624 ID - 10_1017_S0017089505002624 ER -
%0 Journal Article %A CHOI, YUN SUNG %A HAN, KWANG HEE %A SONG, HYUN GWI %T EXTENSIONS OF POLYNOMIALS ON PREDUALS OF LORENTZ SEQUENCE SPACES %J Glasgow mathematical journal %D 2005 %P 395-403 %V 47 %N 2 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089505002624/ %R 10.1017/S0017089505002624 %F 10_1017_S0017089505002624
Cité par Sources :