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High order isometric liftings and dilations
- 1.0541264 - MÚ 2022 RIV PL eng J - Journal Article
Badea, C. - Müller, Vladimír - Suciu, L.
High order isometric liftings and dilations.
Studia mathematica. Roč. 258, č. 1 (2021), s. 87-101. ISSN 0039-3223. E-ISSN 1730-6337
R&D Projects: GA ČR(CZ) GX20-31529X
Institutional support: RVO:67985840
Keywords : m-isometric lifting * m-isometric dilation * convex operator * Foguel-Hankel operator
OECD category: Pure mathematics
Impact factor: 0.914, year: 2021
Method of publishing: Limited access
http://dx.doi.org/10.4064/sm200330-25-8
We show that a Hilbert space bounded linear operator has an m-isometric lifting for some integer m≥1 if and only if the norms of its powers grow polynomially. In analogy with unitary dilations of contractions, we prove that such operators also have an invertible m-isometric dilation. We also study 2-isometric liftings of convex operators and 3-isometric liftings of Foguel–Hankel type operators.
Permanent Link: http://hdl.handle.net/11104/0318854
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