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Fréchet space
(redirected from Frechet spaces)

    Also found in: Wikipedia 0.01 sec.
Fréchet space [frā′shā ‚spās]
(mathematics)
A topological vector space that is locally convex, metrizable, and complete.
A topological vector space that is metrizable and complete.
T1 space


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Huang (15) generalized the Mankiewicz's result to Frechet spaces.
On the isometric extension problem: a survey by Li, Lei; Liu, Rui / Tamsui Oxford Journal of Mathematical Sciences
It has the structure of a Frechet space, but the theory of systems on Frechet spaces is not developed yet.
Observability of a class of linear dynamic infinite systems on time ... by Mozyrska, Dorota; Bartosiewicz, Zbigniew / Proceedings of the Estonian Academy of Science Physics/Mathematics
Along with the astounding 390 exercises, Treves fully topological vector spaces and spaces of function, with forays into Cauchy filters and Frechet spaces, Hilbert spaces and partitions of unity, then moves to duality and spaces of distribution with radon measures, the continuous linear map and Sobolev spaces, then into tensor products and kernals, which includes very interesting commentary on nuclear mapping.
Topological vector spaces, distributions and kernels. (reprint, 1967) by SciTech Book News
 
 
 
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