Symmetric and antisymmetric tensor products for the function-theoretic operator theorist
Canadian journal of mathematics, Tome 77 (2025) no. 1, pp. 324-346
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We study symmetric and antisymmetric tensor products of Hilbert-space operators, focusing on norms and spectra for some well-known classes favored by function-theoretic operator theorists. We pose many open questions that should interest the field.
Mots-clés :
Tensor product, symmetric tensor product, antisymmetric tensor product, Hilbert space, Hardy spaces
Garcia, Stephan Ramon; O’Loughlin, Ryan; Yu, Jiahui. Symmetric and antisymmetric tensor products for the function-theoretic operator theorist. Canadian journal of mathematics, Tome 77 (2025) no. 1, pp. 324-346. doi: 10.4153/S0008414X23000901
@article{10_4153_S0008414X23000901,
author = {Garcia, Stephan Ramon and O{\textquoteright}Loughlin, Ryan and Yu, Jiahui},
title = {Symmetric and antisymmetric tensor products for the function-theoretic operator theorist},
journal = {Canadian journal of mathematics},
pages = {324--346},
year = {2025},
volume = {77},
number = {1},
doi = {10.4153/S0008414X23000901},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X23000901/}
}
TY - JOUR AU - Garcia, Stephan Ramon AU - O’Loughlin, Ryan AU - Yu, Jiahui TI - Symmetric and antisymmetric tensor products for the function-theoretic operator theorist JO - Canadian journal of mathematics PY - 2025 SP - 324 EP - 346 VL - 77 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008414X23000901/ DO - 10.4153/S0008414X23000901 ID - 10_4153_S0008414X23000901 ER -
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