TOPOLOGY AND NON-LINEAR FUNCTIONAL ANALYSIS

1979 ◽  
Vol 34 (6) ◽  
pp. 14-23 ◽  
Author(s):  
Yu G Borisovich
Keyword(s):  
Functional Analysis ◽  
Linear Functional ◽  
Non Linear

Topics in Non-Linear Functional Analysis

2002 ◽  
Vol 86 (505) ◽  
pp. 190
Author(s):  
Steve Abbott ◽  
Louis Nirenberg
Keyword(s):  
Functional Analysis ◽  
Linear Functional ◽  
Non Linear

scholarly journals The adjoints of differentiable mappings

1968 ◽  
Vol 8 (3) ◽  
pp. 397-409 ◽  
Author(s):  
S. Yamamuro
Keyword(s):  
Functional Analysis ◽  
Linear Functional ◽  
Elementary Class ◽  
Non Linear ◽  
Differentiable Mappings

The notion of symmetric (non-linear) mappings has been introduced by Vainberg [3, p. 56]. However, symmetric mappings of this type have not played any important rôle in non-linear functional analysis. Naturally, as in the case of linear mappings, the symmetric mappings should be defined in such a way that they are easy to handle and belong to the most elementary class of non-linear mappings.

On a Theorem of Beurling and Livingston

1965 ◽  
Vol 17 ◽  
pp. 367-372 ◽  
Author(s):  
Felix E. Browder
Keyword(s):  
Banach Space ◽  
Fourier Series ◽  
Banach Spaces ◽  
General Result ◽  
Functional Equations ◽  
Linear Functional ◽  
Monotone Mappings ◽  
Conjugate Space ◽  
Non Linear ◽  
Duality Mappings

In their paper (1), Beurling and Livingston established a generalization of the Riesz-Fischer theorem for Fourier series in Lp using a theorem on duality mappings of a Banach space B into its conjugate space B*. It is our purpose in the present paper to give another proof of this theorem by deriving it from a more general result concerning monotone mappings related to recent results on non-linear functional equations in Banach spaces obtained by the writer (2, 3, 4, 5) and G. J. Minty (6).

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