Interpolation theory and refinement of nested Hilbert spaces

DOI10.1063/1.524810zbMath0494.46023OpenAlexW2022364346MaRDI QIDQ3957441

Witold Karwowski, Jean-Pierre Antoine

Publication date: 1981

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.524810

zbMATH Keywords

partial inner product spaceHilbert spacescalerosetteinvolutive lattice of Hilbert subspacesquadratic interpolation between Hilbert spaces

Mathematics Subject Classification ID

Inner product spaces and their generalizations, Hilbert spaces (46C99) Abstract interpolation of topological vector spaces (46M35) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (8)

TOPOLOGICAL PARTIAL *-ALGEBRAS: BASIC PROPERTIES AND EXAMPLES ⋮ Partial *-algebras and Volterra convolution of distribution kernels ⋮ Some results about operators in nested Hilbert spaces ⋮ Interpolation of linear operators ⋮ Quasi *-algebras and multiplication of distributions ⋮ Unnamed Item ⋮ Banach partial \(^*\)-algebras: an overview ⋮ Unnamed Item

Cites Work

• Some operator algebras in nested Hilbert spaces
• Asymptotic properties of solutions of differential equations with simple characteristics
• Classification of domains of operator algebras
• Topological algebras of operators
• INTEGRATION OVER HILBERT SPACE AND OUTER EXTENSIONS
• Partial inner product spaces. III. Compatibility relations revisited
• Orthocomplemented subspaces of nondegenerate partial inner product spaces
• On the Space-Time Behavior of Schrödinger Wavefunctions
• SCALES OF BANACH SPACES
• Hilbert Spaces of Type S

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