Infinite dimensional holomorphy via categorical differential calculus

1991 ◽  
Vol 111 (1) ◽  
pp. 55-68 ◽  
Author(s):  
K. C. Min ◽  
L. D. Nel
Keyword(s):  
Differential Calculus ◽  
Infinite Dimensional ◽  
Infinite Dimensional Holomorphy

scholarly journals ULTRAMETRIC AND NON-LOCALLY CONVEX ANALOGUES OF THE GENERAL CURVE LEMMA OF CONVENIENT DIFFERENTIAL CALCULUS

2008 ◽  
Vol 50 (2) ◽  
pp. 271-288
Author(s):  
HELGE GLÖCKNER
Keyword(s):  
Differential Calculus ◽  
Vector Spaces ◽  
Local Convexity ◽  
Topological Vector Spaces ◽  
Infinite Dimensional ◽  
General Curve ◽  
Infinite Dimensional Analysis ◽  
Locally Convex ◽  
Differentiability Properties ◽  
Made In

AbstractThe General Curve Lemma is a tool of Infinite-Dimensional Analysis that enables refined studies of differentiability properties of maps between real locally convex spaces to be made. In this article, we generalize the General Curve Lemma in two ways. First, we remove the condition of local convexity in the real case. Second, we adapt the lemma to the case of curves in topological vector spaces over ultrametric fields.

On a Bornological Structure in Infinite-Dimensional Holomorphy

1988 ◽  
Vol 139 (1) ◽  
pp. 77-86 ◽  
Author(s):  
S. Bjon ◽  
M. Lindström
Keyword(s):  
Infinite Dimensional ◽  
Infinite Dimensional Holomorphy
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