Statement:
The Closed Graph Theorem for operations between Fréchet Spaces: Suppose \(X\) and \(Y\) are Fréchet spaces, \(T:X\to Y\) is linear and \(G=\{(x,Tx): x \in X \}\) is closed in \(X\times Y\). Then \(T\) is continuous. Rudin [1991] p. 51.
Howard_Rubin_Number: 279
Parameter(s): This form does not depend on parameters
This form's transferability is: Unknown
This form's negation transferability is: Negation Transferable
Article Citations:
Wright-1973: All operators on a Hilbert space are bounded
Book references
Functional Analysis (2nd edition), Rudin, W., 1991
Note connections:
Note 96
In this note we give the definitions for forms
Form 279 and Form 281 and related results from
Wright [1973].