scholarly journals Renormings of Nonseparable Reflexive Banach Spaces and Diametrically Complete Sets with Empty Interior

2020 ◽  
Author(s):  
Wiesława Kaczor ◽  
Tadeusz Kuczumow ◽  
Simeon Reich ◽  
Mariola Walczyk
Keyword(s):  
Banach Spaces ◽  
Empty Interior ◽  
Reflexive Banach Spaces ◽  
Complete Sets

Existence of diametrically complete sets with empty interior in reflexive and separable Banach spaces

2020 ◽  
Vol 278 (7) ◽  
pp. 108418
Author(s):  
Monika Budzyńska ◽  
Tadeusz Kuczumow ◽  
Simeon Reich ◽  
Mariola Walczyk
Keyword(s):  
Banach Spaces ◽  
Empty Interior ◽  
Complete Sets

scholarly journals Generalized Uniqueness Theorem for Ordinary Differential Equations in Banach Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-4
Author(s):  
Ezzat R. Hassan ◽  
M. Sh. Alhuthali ◽  
M. M. Al-Ghanmi
Keyword(s):  
Cauchy Problem ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Uniqueness Theorem ◽  
Banach Spaces ◽  
Nonlinear Ordinary Differential Equations ◽  
Empty Interior ◽  
Reflexive Banach Spaces ◽  
Uniqueness Criterion ◽  
The Cauchy Problem

We consider nonlinear ordinary differential equations in Banach spaces. Uniqueness criterion for the Cauchy problem is given when any of the standard dissipative-type conditions does apply. A similar scalar result has been studied by Majorana (1991). Useful examples of reflexive Banach spaces whose positive cones have empty interior has been given as well.

scholarly journals The index of an isolated critical point for a class of non-differentiable elliptic operators in reflexive Banach spaces

2005 ◽  
Vol 214 (1) ◽  
pp. 189-231 ◽  
Author(s):  
Athanassios G. Kartsatos ◽  
Igor V. Skrypnik ◽  
Vladimir N. Shramenko
Keyword(s):  
Critical Point ◽  
Banach Spaces ◽  
Elliptic Operators ◽  
Reflexive Banach Spaces

scholarly journals Weakly p-Compact, p-Banach-Saks, and Super-reflexive Banach Spaces

1994 ◽  
Vol 185 (2) ◽  
pp. 256-261 ◽  
Author(s):  
J.M.F. Castillo ◽  
F. Sanchez
Keyword(s):  
Banach Spaces ◽  
Reflexive Banach Spaces
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