Equivalence between the dilation and lifting properties of an ordered group through multiplicative families of isometries. A version of the commutant lifting theorem on some lexicographic groups
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Publication:5943198
DOI10.1007/BF01202951zbMath1002.47002OpenAlexW2061752170MaRDI QIDQ5943198
Marisela Domínguez, Ramón Bruzual
Publication date: 26 December 2002
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01202951
commutant lifting propertydilation propertygenerating pair of subspaceslexicographic groupslocally compact abelian ordered groupmultiplicative family of partial isometriesNaimark dilation theoremunitary extension
Groups and semigroups of linear operators (47D03) Dilations, extensions, compressions of linear operators (47A20)
Related Items
The intertwining lifting theorem for ordered groups., Dilation of generalized Toeplitz kernels on ordered groups, Unitary extensions of partial isometries, Extensions of operator valued positive definite functions and commutant lifting on ordered groups
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