Menchoff-Rademacher type theorems in vector-valued Banach function spaces

Defant, Andreas; Junge, Marius

Bull. Belg. Math. Soc. Simon Stevin, Tome 13 (2007) no. 5, p. 473-482 / Harvested from Project Euclid

Résumé

We present a simple procedure which transfers classical coefficient tests on summation of orthonormal series in $L_2(\mu)$ into theorems on summation for unconditionally convergent series in vector-valued Banach function spaces $E(X)$ (where $E$ is a Banach function space over a measure space $(\Omega, \mu)$ and $X$ a Banach space).

Publié le : 2007-09-14
Classification:

@article{1190994208,
     author = {Defant, Andreas and Junge, Marius},
     title = {Menchoff-Rademacher type theorems in vector-valued Banach function spaces},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {13},
     number = {5},
     year = {2007},
     pages = { 473-482},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1190994208}
}

Defant, Andreas; Junge, Marius. Menchoff-Rademacher type theorems in vector-valued Banach function spaces. Bull. Belg. Math. Soc. Simon Stevin, Tome 13 (2007) no. 5, pp.  473-482. http://gdmltest.u-ga.fr/item/1190994208/