Semiclosed multivalued projections
M. Laura Arias, Maximiliano Contino, Alejandra Maestripieri and, Stefania Marcantognini
TL;DR
This paper characterizes semiclosed multivalued projections, explores their properties such as decomposability and continuity, and provides formulas, contributing to the understanding of linear relations in functional analysis.
Contribution
It introduces a detailed characterization of semiclosed multivalued projections and analyzes their decomposability, continuity, and nilpotent relations, advancing the theory of linear relations.
Findings
Characterization of semiclosed multivalued projections as operator ranges
Formulas for semiclosed multivalued projections
Analysis of decomposability and continuity of these projections
Abstract
A multivalued projection is an idempotent linear relation with invariant domain. We characterize multivalued projections that are operator ranges (called semiclosed) and provide several formulae of them. Moreover, we study the decomposability and continuity of multivalued projections, and describe nilpotent relations.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsOptimization and Variational Analysis · Matrix Theory and Algorithms · Advanced Optimization Algorithms Research