Partial inner product spaces and semi-inner product spaces
DOI10.1016/0001-8708(81)90022-0zbMath0493.46024OpenAlexW2003569895MaRDI QIDQ1168556
Karl Gustafson, Jean-Pierre Antoine
Publication date: 1981
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0001-8708(81)90022-0
partial inner product spaceGalois connectionrigged Hilbert spacesemi-inner product spacedual pairorthogonal mapcompatibility relationantidual pairboundedness-unboundednessform representationnested Hilbert spacenonsemibounded hermitian formsscale of SIP spacestotal PIP space
Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Inner product spaces and their generalizations, Hilbert spaces (46C99) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)
Related Items (2)
Cites Work
- Geometry of Banach spaces. Selected topics
- Partial inner product spaces. I: General properties
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