Hermitian kernels with bounded structure

DOI10.1007/BF01191529zbMath0898.47009MaRDI QIDQ1378030

Aurelian Gheondea, Tiberiu Constantinescu

Publication date: 5 February 1998

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

Hermitian kernelsKolmogorov decompositionsCarathéodory-Schur problemKreĭn space versions of the trigonometric moment problemSchur-type description

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Linear operators on spaces with an indefinite metric (47B50)

Cites Work

• Extensions of J-isometric and J-symmetric operators
• Lifting of operators and prescribed numbers of negative squares
• Minimal signature in lifting of operators. II
• Operator inequalities and construction of Krein spaces
• Representations of hermitian kernels by means of Kreĭn spaces
• The essential uniqueness property for operators on Kreĭn spaces
• A Schur type analysis of the minimal unitary Hilbert space extensions of a Kreĭn space isometry whose defect subspaces are Hilbert spaces
• Sous-espaces d'espaces vectoriels topologiques et noyaux associés. (Noyaux reproduisants.)
• Symmetrizable completely continuous linear transformations in Hilbert space
• Symmetrizable linear transformations
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