The extension of positive definite operator-valued functions defined on a symmetric interval of an ordered group

DOI10.1090/S0002-9939-01-06288-8zbMath0985.43004OpenAlexW1480414954MaRDI QIDQ2781298

Mihály Bakonyi

Publication date: 19 March 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06288-8

zbMATH Keywords

positive definite function

Mathematics Subject Classification ID

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) Trigonometric moment problems in one variable harmonic analysis (42A70)

Related Items (5)

The intertwining lifting theorem for ordered groups. ⋮ Dilation of generalized Toeplitz kernels on ordered groups ⋮ Extensions of positive definite functions on free groups ⋮ Nehari and Carathéodory-Fejér type extension results for operator-valued functions on groups ⋮ Extending positive definiteness

Cites Work

• Schur analysis of some completion problems
• Schur products and matrix completions
• Positive matrix functions on the bitorus with prescribed Fourier coefficients in a band
• The Carathéodory-Toeplitz problem for almost periodic functions
• On extensions of positive definite operator-valued functions
• Subalgebras of \(C^ *\)-algebras
• Projections on Invariant Subspaces
• Carathéodory-Toeplitz and Nehari problems for matrix valued almost periodic functions
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