Closely embedded Kreĭn spaces and applications to Dirac operators

DOI10.1016/j.jmaa.2010.10.059zbMath1216.46022OpenAlexW1979942146MaRDI QIDQ624613

Aurelian Gheondea, Petru A. Cojuhari

Publication date: 9 February 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.10.059

zbMATH Keywords

Dirac operatorhomogeneous Sobolev spaceclosed embeddingkernel operatoroperator rangeKreĭn space

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Linear operators on spaces with an indefinite metric (47B50) Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.) (46C07)

Cites Work

• Embeddings, operator ranges, and Dirac operators
• Closed embeddings of Hilbert spaces
• Operator inequalities and construction of Krein spaces
• Various norms on indefinite inner product spaces
• Representations of hermitian kernels by means of Kreĭn spaces
• The essential uniqueness property for operators on Kreĭn spaces
• On lifting of operators to Hilbert spaces induced by positive selfadjoint operators
• On operator ranges
• Sous-espaces d'espaces vectoriels topologiques et noyaux associés. (Noyaux reproduisants.)
• Sur les variétés \(J\) d'un espace de Hilbert
• Complementation in Krein Spaces
• Definite and indefinite inner products on superspace (Hilbert–Krein superspace)
• Equivalent Norms for Sobolev Spaces
• Étude sur les variétés et les opérateurs de Julia, avec quelques applications
• Representations of Hermitian kernels by means of Krein spaces. II. Invariant kernels
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