Remarks on positive definite functions on a group

DOI10.1007/S11117-024-01101-ZMaRDI QIDQ6665566

Swapan Jana, Sourav Pal, Nitin Tomar

Publication date: 17 January 2025

Published in: Positivity (Search for Journal in Brave)

zbMATH Keywords

unitary representationpositive definite functionblock-matrix operator

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Dilations, extensions, compressions of linear operators (47A20) Positive definite functions on groups, semigroups, etc. (43A35) Operator matrices (47A08)

Cites Work

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• Schur's theorem for a block Hadamard product
• The commutant lifting approach to interpolation problems
• Positivity of $2\times2$ block matrices of operators
• Harmonic analysis of operators on Hilbert space
• C*-algebraic Schur product theorem, P\'{o}lya-Szeg\H{o}-Rudin question and Novak's conjecture
• On unitary dilations of contractions

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