Matrix Problems in Hilbert Spaces
A.V. Roiter, S.A. Kruglyak, L.A. Nazarova

TL;DR
This paper investigates matrix classification problems in Hilbert spaces, focusing on orthoscalar representations of quivers and posets, and provides a criterion to determine when these problems are manageable.
Contribution
It introduces a criterion for the tameness of classifying indecomposable orthoscalar quiver representations in Hilbert spaces.
Findings
Established a criterion for tameness in classification problems.
Characterized orthoscalar representations of quivers and posets.
Provided insights into the complexity of matrix problems in infinite-dimensional settings.
Abstract
We consider matrix problems in Hilbert spaces (orthoscalar representations of quivers and posets). A criterion of tameness of the problem of classification of indecomposable orthoscalar representations of a quiver is given.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic structures and combinatorial models · Molecular spectroscopy and chirality
