Hilbert $\widetilde{\C}$-modules: structural properties and applications to variational problems
Garetto, Claudia ; Vernaeve, Hans
arXiv, 0707.1104 / Harvested from arXiv
Text on arXiv
We develop a theory of Hilbert $\widetilde{\C}$-modules by investigating their structural and functional analytic properties. Particular attention is given to finitely generated submodules, projection operators, representation theorems for $\widetilde{\C}$-linear functionals and $\widetilde{\C}$-sesquilinear forms. By making use of a generalized Lax-Milgram theorem, we provide some existence and uniqueness theorems for variational problems involving a generalized bilinear or sesquilinear form.
Publié le : 2007-07-07
Classification:  Mathematics - Functional Analysis,  46F30, 13J99 
@article{0707.1104,
     author = {Garetto, Claudia and Vernaeve, Hans},
     title = {Hilbert $\widetilde{\C}$-modules: structural properties and applications
  to variational problems},
     journal = {arXiv},
     volume = {2007},
     number = {0},
     year = {2007},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0707.1104}
}

Garetto, Claudia; Vernaeve, Hans. Hilbert $\widetilde{\C}$-modules: structural properties and applications
  to variational problems. arXiv, Tome 2007 (2007) no. 0, . http://gdmltest.u-ga.fr/item/0707.1104/