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Liftings and dilations of commuting systems of linear mappings on vector spaces
- 1.0574187 - MÚ 2024 RIV HR eng J - Journal Article
Müller, Vladimír
Liftings and dilations of commuting systems of linear mappings on vector spaces.
Operators and Matrices. Roč. 17, č. 2 (2023), s. 567-572. ISSN 1846-3886. E-ISSN 1846-3886
R&D Projects: GA ČR(CZ) GF20-22230L
Institutional support: RVO:67985840
Keywords : lifting * dilation * linear mappings * vector spaces
OECD category: Pure mathematics
Impact factor: 0.5, year: 2022
Method of publishing: Limited access
https://dx.doi.org/10.7153/oam-2023-17-37
We show that each set of commuting linear mappings on a vector space has a lifting consisting of commuting injective mappings and a dilation consisting of commuting bijective mappings.
Permanent Link: https://hdl.handle.net/11104/0344536
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