The nonstandard theory of topological vector spaces
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- by C. Ward Henson and L. C. Moore PDF
- Trans. Amer. Math. Soc. 172 (1972), 405-435 Request permission
Erratum: Trans. Amer. Math. Soc. 184 (1973), 509.
Abstract:
In this paper the nonstandard theory of topological vector spaces is developed, with three main objectives: (1) creation of the basic nonstandard concepts and tools; (2) use of these tools to give nonstandard treatments of some major standard theorems; (3) construction of the nonstandard hull of an arbitrary topological vector space, and the beginning of the study of the class of spaces which results.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 172 (1972), 405-435
- MSC: Primary 46A15; Secondary 02H25
- DOI: https://doi.org/10.1090/S0002-9947-1972-0308722-5
- MathSciNet review: 0308722