On invertible m-isometrical extension of an m-isometry

0563652 - MÚ 2023 RIV CH eng J - Journal Article
Bermúdez, T. - Matinón, A. - Müller, Vladimír - Zaway, H.
On invertible m-isometrical extension of an m-isometry.
Results in Mathematics. Roč. 77, č. 6 (2022), č. článku 233. ISSN 1422-6383. E-ISSN 1420-9012
R&D Projects: GA ČR(CZ) GF20-22230L
Institutional support: RVO:67985840
Keywords : m-isometry * ℓ-Jordan isometry
OECD category: Pure mathematics
Impact factor: 2.2, year: 2022
Method of publishing: Open access
https://doi.org/10.1007/s00025-022-01765-7

We give necessary and sufficient conditions on an m-isometry to have an invertible m-isometrical extension. As particular cases, we give a useful characterization for a general m-isometrical unilateral weighted shift and for ℓ-Jordan isometries. In particular, every ℓ-Jordan isometry operator has an invertible (2 ℓ- 1) -isometrical extension.
Permanent Link: https://hdl.handle.net/11104/0335551