Krein spaces of analytic functions

DOI10.1016/0022-1236(88)90099-7zbMath0666.46024OpenAlexW1989607312MaRDI QIDQ1116410

Louis de Branges

Publication date: 1988

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(88)90099-7

zbMATH Keywords

Krein spacePontryagin index

Mathematics Subject Classification ID

Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19)

Related Items (8)

A construction of unitary linear systems ⋮ Reproducing Kernel Kreĭn Spaces ⋮ Higher-order interlacing for matrix-valued meromorphic Herglotz functions ⋮ A lifting theorem for bicontractions on Kreǐn spaces ⋮ On the preceding paper by R.\,B.\thinspace Leech ⋮ A construction of Krein spaces of analytic functions ⋮ Minimal signature in lifting of operators. II ⋮ On linear combinations of positive functions, associated reproducing kernel spaces and a non Hermitian Schur algorithm

Cites Work

• Translation invariant spaces
• Minimal factorization of matrix and operator functions
• A corona theorem for countably many functions
• On two problems concerning linear transformations in Hilbert space
• UNITARY OPERATOR COLLIGATIONS AND THEIR CHARACTERISTIC FUNCTIONS
• Complementation in Krein Spaces
• Ideals of Square Summable Power Series. II
• Factorization and invariant subspaces
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