In this note we study the topological structure of weighted James spaces J(h). In particular we prove that J(h) is isomorphic to J if and only if the weight h is bounded. We also provide a description of J(h) if the weight is a non-decreasing sequence.
@article{urn:eudml:doc:40184, title = {On weighted James' spaces.}, journal = {Collectanea Mathematica}, volume = {47}, year = {1996}, pages = {47-53}, zbl = {0852.46020}, mrnumber = {MR1387661}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40184} }
Miñarro, M. Angeles. On weighted James' spaces.. Collectanea Mathematica, Tome 47 (1996) pp. 47-53. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40184/