Generalized Keller Spaces

Priess-Crampe, Sibylla

Bull. Belg. Math. Soc. Simon Stevin, Tome 13 (2007) no. 5, p. 979-991 / Harvested from Project Euclid

Résumé

By means of fields of formal power series, we construct definite Banach spaces over (Krull) valued fields for any cofinal type $\geq\omega _{0}$ of the value group. Among these spaces are all known non-classical form-Hilbert spaces of infinite dimension.

Publié le : 2007-12-14
Classification: Hilbert spaces, Krull valuations, fields of formal power series, 46S10, 12J20, 46C99

@article{1197908908,
     author = {Priess-Crampe, Sibylla},
     title = {Generalized Keller Spaces},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {13},
     number = {5},
     year = {2007},
     pages = { 979-991},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1197908908}
}

Priess-Crampe, Sibylla. Generalized Keller Spaces. Bull. Belg. Math. Soc. Simon Stevin, Tome 13 (2007) no. 5, pp.  979-991. http://gdmltest.u-ga.fr/item/1197908908/