Special Issue "Ordered Topological Vector Spaces, Operators Acting on Them and Related Applications"
Deadline for manuscript submissions: 30 November 2023 | Viewed by 8377
Interests: Hahn-Banach theorem; Markov moment problem; polynomial approximation on unbounded subsets; iso-tonicity of a convex operator on a convex cone; Mazur-Orlicz theorem; self-adjoint operator; iterative methods; convexity
All spaces involved in applications have natural structures of ordered topological vector spaces. Extension theorem for linear operators and polynomial approximation on special closed unbounded subsets leads to characterizing the existence and uniqueness of the solutions of some Markov moment problems in terms of quadratic forms. Finding new results on this subject is the first aim. The second purpose is to give applications related to the characterization of isotonicity of a continuous convex operator on a convex cone in terms of its subdifferentials. I cordially invite you to publish your results on related subjects in this Special Issue.
Prof. Dr. Octav Olteanu
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- Controlled extension of linear operators
- Moment determinate measure
- Polynomial approximation on unbounded subsets
- Markov moment problems
- Characterizations in terms of quadratic forms
- Spaces of symmetric matrices and self-adjoint operators
- Positive linear operators
- Subdifferentials of a continuous convex operator
- Isotonicity of a convex operator on a convex cone
- Applications on related subjects