Fréchet space

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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.
References in periodicals archive ?
AGARWAL and O'REGAN, FPTA (2009) [3]--The authors present new Leray-Schauder alternatives, Krasnoselskii and Lefschetz fixed point theory for multimaps between Frechet spaces. As an application they show that their results are directly applicable to establish the existence of integral equations over infinite intervals.
[17], for example, obtain new characterizations of Li-Yorke chaos for linear operators on Banach and Frechet spaces.
[Vog84] Dietmar Vogt, Some results on continuous linear maps between Frechet spaces, Functional analysis: surveys and recent results, III (Paderborn, 1983), North-Holland Math.
This implies the use of the framework of Frechet spaces of continuous functions, instead of that of the classical Banach spaces of continuous functions defined on a bounded interval of time, used in our previous papers.
The proof of Theorem 5 makes use of the following result by Bonet and Peris, which has been a key ingredient to prove the existence of hypercyclic operators on Frechet spaces different from [omega].
Ouahab, Uniqueness results for fractional functional differential equations with infinite delay in Frechet spaces, Appl.
She covers normed spaces and operators, Frechet spaces and Banach theorems, duality, weak topologies, distributions, the Fourier transform and Sobolev spaces, Banach algebras, and unbounded operators in a Hilbert space.
Franklin introduced notions of Frechet spaces and sequential spaces ([1], [2] and [3]).
Huang (15) generalized the Mankiewicz's result to Frechet spaces. G.
and N'Guerekata G.M., 2004, Almost periodicity in Frechet spaces, J.