Some nonlinear characterizations of reflexive Banach spaces
From MaRDI portal
Publication:2097540
DOI10.1016/j.jmaa.2022.126736OpenAlexW4286906266MaRDI QIDQ2097540
Publication date: 14 November 2022
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.05257
reflexive Banach spacesinf-convolutionJames theoremattainment of infimalower semicontinuous convex coercive functionsequentially weakly lower semicontinuous coercive function
Existence theories in calculus of variations and optimal control (49Jxx) Functions of several variables (26Bxx) Nonlinear operators and their properties (47Hxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Functional analysis, Sobolev spaces and partial differential equations
- A remark on regularization in Hilbert spaces
- Approximation and decomposition properties of some classes of locally d.c. functions
- Towards minimal assumptions for the infimal convolution regularization
- Critical point theory and Hamiltonian systems
- Convex functions, monotone operators and differentiability
- Extensions of the Preiss differentiability theorem
- Bounded approximants to monotone operators on Banach spaces
- Prox-regularity of functions and sets in Banach spaces
- The Scottish Book
- What Shape Is Your Conjugate? A Survey of Computational Convex Analysis and Its Applications
- The kernel average for two convex functions and its application to the extension and representation of monotone operators
- Characterizations of reflexivity
- Lipschitz $r$-continuity of the approximative subdifferential of a convex function.
- Variational Analysis
- Convex Analysis
- Direct methods in the calculus of variations
- Extension of Lipschitz functions