English

Semiclosed multivalued projections

Functional Analysis 2023-08-22 v1

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.

Keywords

Cite

@article{arxiv.2308.10816,
  title  = {Semiclosed multivalued projections},
  author = {M. Laura Arias and Maximiliano Contino and Alejandra Maestripieri and Stefania Marcantognini},
  journal= {arXiv preprint arXiv:2308.10816},
  year   = {2023}
}
R2 v1 2026-06-28T12:00:35.339Z