Local conjugacy theorem, rank theorems in advanced calculus and a generalized principle for constructing Banach manifolds

2000 ◽  
Vol 43 (12) ◽  
pp. 1233-1237 ◽  
Author(s):  
Jipu Ma
Keyword(s):  
Banach Manifolds ◽  
Local Conjugacy ◽  
Advanced Calculus

scholarly journals Local conjugacy theorems for C1 operators between Banach manifolds

2016 ◽  
Vol 09 (03) ◽  
pp. 1341-1348
Author(s):  
Qiang Li ◽  
Donghe Pei
Keyword(s):  
Banach Manifolds ◽  
Local Conjugacy

Advanced Calculus. By C. A. Stewart. Pp. xviii, 523. 25s. 1940. (Methuen)

1942 ◽  
Vol 26 (270) ◽  
pp. 148-149
Keyword(s):  
Advanced Calculus

scholarly journals Banach manifolds and the Gelfand representation theorem

1978 ◽  
Vol 81 (1) ◽  
pp. 157-164
Author(s):  
S.T.M. Ackermans
Keyword(s):  
Representation Theorem ◽  
Banach Manifolds

Darboux chart on projective limit of weak symplectic Banach manifold

2015 ◽  
Vol 12 (07) ◽  
pp. 1550072 ◽  
Author(s):  
Pradip Mishra
Keyword(s):  
Banach Space ◽  
Symplectic Structure ◽  
Reflexive Banach Space ◽  
Projective Limit ◽  
Fréchet Space ◽  
Frechet Space ◽  
Banach Manifold ◽  
Boundedness Condition ◽  
Projective System ◽  
Banach Manifolds

Suppose M be the projective limit of weak symplectic Banach manifolds {(Mi, ϕij)}i, j∈ℕ, where Mi are modeled over reflexive Banach space and σ is compatible with the projective system (defined in the article). We associate to each point x ∈ M, a Fréchet space Hx. We prove that if Hx are locally identical, then with certain smoothness and boundedness condition, there exists a Darboux chart for the weak symplectic structure.

Advanced calculus for users

1992 ◽  
Vol 14 (1) ◽  
pp. 88-89
Author(s):  
P. Azevedo
Keyword(s):  
Advanced Calculus

Advanced calculus: I, by R. P. Gillespie. Pp 155. £1·50. 1972 (Oliver and Boyd)

1973 ◽  
Vol 57 (399) ◽  
pp. 80-80
Author(s):  
W. L. Ferrar
Keyword(s):  
Calculus I ◽  
Advanced Calculus
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