Systems of subspaces of a unitary space
Vitalij M. Bondarenko, Vyacheslav Futorny, Tatiana Klimchuk, Vladimir, V. Sergeichuk, Kostyantyn Yusenko

TL;DR
This paper classifies systems of subspaces within a unitary space based on a given poset, providing explicit classifications where feasible, to understand their structure and relationships.
Contribution
It offers a comprehensive classification of subspace systems for all posets with explicit solutions, advancing the understanding of their structure in unitary spaces.
Findings
Explicit classifications for certain posets
Complete description of subspace systems
Framework for analyzing poset representations
Abstract
For a given poset, we consider its representations by systems of subspaces of a unitary space ordered by inclusion. We classify such systems for all posets for which an explicit classification is possible.
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