Closed graph and open mapping theorems for topological ℂ̃-modules and applications

We present closed graph and open mapping theorems for ℂ̃-linear maps acting between suitable classes of topological and locally convex topological ℂ̃-modules. This is done by adaptation of De Wilde's theory of webbed spaces and Adasch-Ernst-Keim's theory of barrelled spaces to the context...

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Bibliographic Details
Main Author: Claudia Garetto
Format: Default Article
Published: 2009
Subjects:
Other mathematical sciences not elsewhere classified
Closed graph theorem
Colombeau algebras
Topological modules
Mathematical Sciences not elsewhere classified
Online Access:https://hdl.handle.net/2134/17312
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