Differential Calculus and Holomorphy - Real and complex analysis in locally convex spaces

1982 ◽  
Keyword(s):  
Differential Calculus ◽  
Complex Analysis ◽  
Locally Convex Spaces ◽  
Locally Convex ◽  
Convex Spaces

A differentiation in locally convex spaces

1975 ◽  
Vol 12 (2) ◽  
pp. 183-209 ◽  
Author(s):  
Sadayuki Yamamuro
Keyword(s):  
Implicit Function Theorem ◽  
Differential Calculus ◽  
Linear Operators ◽  
Locally Convex Spaces ◽  
Implicit Function ◽  
Fundamental Theory ◽  
Finite Linear ◽  
Locally Convex ◽  
Convex Spaces

The theory of F-finite linear operators developed by Robert T. Moore is used to construct a differential calculus in locally convex spaces. This note contains the fundamental theory up to the implicit function theorem.

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