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Invariant subspace problem in Hilbert space: Correlation with the Kadison-Singer problem and the Borel conjecture | | Mostafa Behtouei
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1 Sep 2023 | | Abstract: | This paper explores the intriguing connections between the invariant subspace
problem, the Kadison-Singer problem, and the Borel conjecture. The
Kadison-Singer problem, originally formulated in terms of pure states on
C*-algebras, was later reformulated using projections, establishing a link with
the invariant subspace problem. The Borel conjecture, a question in descriptive
set theory, connects to the invariant subspace problem through Borel
equivalence relations. This paper elucidates these connections, underscoring
the interplay of unsolved mathematical problems and the collaborative nature of
mathematical research. | | Source: | arXiv, 2309.00171 | | Services: | Forum | Review | PDF | Favorites | |
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