Appropriate locally convex domains for differential calculus
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- by Richard A. Graff and Wolfgang M. Ruess PDF
- Proc. Amer. Math. Soc. 86 (1982), 331-335 Request permission
Abstract:
We make use of Grothendieck’s notion of quasinormability to produce a comprehensive class of locally convex spaces within which differential calculus may be developed along the same lines as those employed within the class of Banach spaces and which include the previously known examples of such classes. In addition, we show that there exist Fréchet spaces which do not belong to any possible such class.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 86 (1982), 331-335
- MSC: Primary 58C20; Secondary 46G05, 58D15
- DOI: https://doi.org/10.1090/S0002-9939-1982-0667300-0
- MathSciNet review: 667300