Hilbert $\widetilde{\C}$-modules: structural properties and applications to variational problems
Functional Analysis
2014-04-01 v1
Abstract
We develop a theory of Hilbert -modules by investigating their structural and functional analytic properties. Particular attention is given to finitely generated submodules, projection operators, representation theorems for -linear functionals and -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.
Cite
@article{arxiv.0707.1104,
title = {Hilbert $\widetilde{\C}$-modules: structural properties and applications to variational problems},
author = {Claudia Garetto and Hans Vernaeve},
journal= {arXiv preprint arXiv:0707.1104},
year = {2014}
}