Reproducing kernel almost Pontryagin spaces

DOI10.1016/J.LAA.2014.08.001zbMath1312.46035OpenAlexW2150676781MaRDI QIDQ406488

Harald Woracek

Publication date: 8 September 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2014.08.001

zbMATH Keywords

indefinite inner productcompletionreproducing kernelalmost Pontryagin spacedegenerate inner product

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Linear symmetric and selfadjoint operators (unbounded) (47B25) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (2)

Perturbation of chains of de Branges spaces ⋮ Directing Functionals and De Branges Space Completions in Almost Pontryagin Spaces

Cites Work

• Sums, couplings, and completions of almost Pontryagin spaces
• The Dirichlet space: a survey
• Kernel methods in machine learning
• Representations of hermitian kernels by means of Kreĭn spaces
• Pontryagin spaces of entire functions. I
• The Krein formula for generalized resolvents in degenerated inner product spaces
• Schur functions, operator colligations, and reproducing kernel Pontryagin spaces
• Jet functions having indefinite Carathéodory-Pick matrices
• Sturm-Liouville operators with singularities and generalized Nevanlinna functions
• The transformation of Issai Schur and related topics in an indefinite setting
• G-Self-adjoint Operators in Almost Pontryagin Spaces
• Directing Functionals and De Branges Space Completions in Almost Pontryagin Spaces
• The Index of Determinacy for Measures and the ℓ 2 -Norm of Orthonormal Polynomials
• Applications of reproducing kernel Hilbert spaces–bandlimited signal models
• Theory of Reproducing Kernels
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