Partial inner product spaces and semi-inner product spaces |
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Authors: | J.P Antoine K Gustafson |
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Affiliation: | Institut de Physique Théorique, Université Catholique de Louvain B-1348, Louvain-la-Neuve, Belgium;Department of Mathematics, University of Colorado, Boulder, Colorado 80309 USA |
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Abstract: | A comparison is made between the two objects mentioned in the title. Connections between them are threefold: (i) both are particular instances of dual pairs of locally convex spaces; (ii) many partial inner product spaces consist of chains or lattices of semi-inner product spaces; (iii) the basic structure behind both of them is that of Galois connections. A number of common open problems are described. |
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