English

On unbounded complementable operators

Functional Analysis 2025-11-27 v1 Operator Algebras

Abstract

The concept of complementability is extended from bounded operators to densely defined operators on Hilbert spaces. By introducing appropriate projections and decomposition techniques, a framework is developed for analyzing complementability in this broader context. The results provide new insights into the structure of unbounded operators, contributing to the ongoing development of operator theory.

Keywords

Cite

@article{arxiv.2511.21360,
  title  = {On unbounded complementable operators},
  author = {Sachin Manjunath Naik and P. Sam Johnson},
  journal= {arXiv preprint arXiv:2511.21360},
  year   = {2025}
}