Characterization of separability for $LF$-spaces
نویسندگان
چکیده
منابع مشابه
Separability of reproducing kernel spaces
We demonstrate that a reproducing kernel Hilbert or Banach space of functions on a separable absolute Borel space or an analytic subset of a Polish space is separable if it possesses a Borel measurable feature map.
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The space D(R) of test functions (infinitely differentiable functions with compact support) is an important example of a non-metrizable (LF)-space, and the domain of distributions (generalized functions). E. Bishop suggested in [1, Appendix A] and [2, Chapter 7, Notes] that the completeness of D(R) and the weak completeness of its dual space would not hold in Bishop’s constructive mathematics. ...
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ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 1968
ISSN: 0373-0956
DOI: 10.5802/aif.293