Koot I (2025)
Publication Type: Journal article
Publication year: 2025
Book Volume: 115
Article Number: 118
Journal Issue: 6
DOI: 10.1007/s11005-025-02008-w
Let K1⊂H and K2⊂H be half-sided modular inclusions in a common standard subspace H. We prove that the inclusion K1⊂K2 holds if and only if we have an inclusion of spectral subspaces of the generators of the positive one-parameter groups associated to the half-sided modular inclusions K1⊂H and K2⊂H. From this we give a characterization of this situation in terms of (operator-valued) symmetric inner functions. We illustrate these characterizations with some examples of non-trivial phenomena occurring in this setting.
APA:
Koot, I. (2025). Relative positions of half-sided modular inclusions. Letters in Mathematical Physics, 115(6). https://doi.org/10.1007/s11005-025-02008-w
MLA:
Koot, Ian. "Relative positions of half-sided modular inclusions." Letters in Mathematical Physics 115.6 (2025).
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