Geodesic
Geometry of Spaces of Vector-Valued Harmonic Functions
Canadian journal of mathematics, Tome 46 (1994) no. 2, pp. 274-283

Voir la notice de l'article provenant de la source Cambridge University Press

It is shown that the space hp (D,X) has the Kadec-Klee property with respect to pointwise norm convergence in the Banach space X if and only if X has the Radon-Nikodym property and every point of the unit sphere of X is a denting point of the unit ball of X. In addition, it is shown that hp (D,X) is locally uniformly rotund if and only if X is locally uniformly rotund and has the Radon-Nikodym property.
DOI : 10.4153/CJM-1994-012-1
Mots-clés : 46B20, 46E40, vector-valued harmonic functions, Kadec-Klee properties, local uniform rotundity 
Dowling, Patrick N.; Hu, Zhibao; Smith, Mark A. Geometry of Spaces of Vector-Valued Harmonic Functions. Canadian journal of mathematics, Tome 46 (1994) no. 2, pp. 274-283. doi: 10.4153/CJM-1994-012-1
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