scholarly journals Extraction of critical points of smooth functions on Banach spaces

2020 ◽  
Vol 482 (1) ◽  
pp. 123535
Author(s):  
Miguel García-Bravo
Keyword(s):  
Banach Spaces ◽  
Critical Points ◽  
Smooth Functions

scholarly journals Duals of Banach spaces which admit nontrivial smooth functions

1974 ◽  
Vol 11 (2) ◽  
pp. 161-166 ◽  
Author(s):  
K. John ◽  
V. Zizler
Keyword(s):  
Banach Space ◽  
Banach Spaces ◽  
Differentiable Function ◽  
Continuous Linear ◽  
Smooth Functions ◽  
One To One ◽  
Fréchet Differentiable

If a Banach space X admits a continuously Fréchet differentiable function with bounded nonempty support, then X* admits a projectional resolution of identity and a continuous linear one-to-one map into co(Γ).

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