Partial inner product spaces. III. Compatibility relations revisited

DOI10.1063/1.524410zbMath0477.46005OpenAlexW2057262371MaRDI QIDQ3934961

Jean-Pierre Antoine

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1063/1.524410

zbMATH Keywords

rigged Hilbert spacepartial inner product spacesnested Hilbert spacescompatible vectorsinvolutive coveringsrich subsets

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Duality theory for topological vector spaces (46A20) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items

TOPOLOGICAL PARTIAL *-ALGEBRAS: BASIC PROPERTIES AND EXAMPLES, Schrödinger operators with point interactions and short range expansions, Commutants of a family of operators on a partial inner product space, Some results about operators in nested Hilbert spaces, The partial inner product space method: a quick overview, On some classes of unbounded commutants of unbounded operator families, Partial inner product spaces and semi-inner product spaces, Some unbounded commutants of a set of operators on a partial inner product space, Partial inner product spaces: some categorical aspects, Unnamed Item, Unnamed Item, Partial inner product spaces. IV. Topological considerations, Unnamed Item, Interpolation theory and refinement of nested Hilbert spaces

Cites Work

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• Remarks on Galois lattices
• The bra and ket formalism in extended Hilbert space
• On a Hilbert Space of Analytie Functions and an Associated Integral Transform. Part II. A Family of Related Function Spaces Application to Distribution Theory
• SCALES OF BANACH SPACES
• The space 𝐿^{𝜔} and convex topological rings