Extensions of operator valued positive definite functions and commutant lifting on ordered groups
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Publication:5952326
DOI10.1006/jfan.2001.3758zbMath1037.47006OpenAlexW2059597644MaRDI QIDQ5952326
Ramón Bruzual, Marisela Domínguez
Publication date: 13 March 2003
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/7fee78d00c07adaf6f05509c7aade4762f56eb09
Groups and semigroups of linear operators (47D03) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear operator methods in interpolation, moment and extension problems (47A57) Dilations, extensions, compressions of linear operators (47A20) Positive definite functions on groups, semigroups, etc. (43A35)
Related Items
The intertwining lifting theorem for ordered groups., Dilation of generalized Toeplitz kernels on ordered groups, Nehari and Carathéodory-Fejér type extension results for operator-valued functions on groups
Cites Work
- On the extensions of positive definite functions
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- The extension problem for positive-definite functions
- Integral Representations of Positive Definite Matrix-Valued Distributions on Cylinders
- On Some Classes of Analytic Functions of Several Variables
- Generalized Interpolation in H ∞
- 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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