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Unbounded Linear Monotone Operators on Nonreflexive Banach Spaces
Linear Monotone Operators Nonreflexive Banach Spaces
2009/1/23
This study of unbounded linear monotone operators $T\colon E \to E^*$ for nonreflexive Banach spaces $E$ was motivated by the (still open) problem of distinguishing between several well-studied classe...
Convergence of Unbounded Multivalued Supermartingales in the Mosco and Slice Topologies
Unbounded Multivalued Supermartingales Mosco Slice Topologies
2009/1/22
Our starting point is the Mosco-convergence result due to Hess ([18]) for integrable multivalued supermartingales whose values may be unbounded, but are majorized by a $w$-ball-compact-valued function...
The Distribution of Unbounded Random Sets and the Multivalued Strong Law of Large Numbers in Nonreflexive Banach Spaces
distribution of random sets multivalued strong law of large numbers set convergence measurable multifunctions convex sets
2009/1/20
In the first part, we introduce appropriate tools concerning the distribution of random sets. We study the relation between the distribution of a random set, whose values are closed subsets of a Banac...
On a Non-Standard Convex Regularization and the Relaxation of Unbounded Integral Functionals of the Calculus of Variations
Non-Standard Convex Regularization Integral Functionals Calculus of Variations
2009/1/20
The analysis of the relationships between the functional $F^{(\infty)}(\Omega,\cdot) \colon u \in W^{1,\infty}(\Omega) \mapsto \inf$ $\{\liminf_h \int_\Omega f(\nabla u_h)dx : \{u_h\}$ $\subseteq W^{1...