Topological structure of solution sets in Frechet spaces: The projective limit approach: The projective limit approach

Donal O'Regan

doi:10.13025/23754

Topological structure of solution sets in Frechet spaces: The projective limit approach: The projective limit approach

Donal O'Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

5 Citations (Scopus)

Abstract

In this paper we show that the solution set of certain Volterra inclusions defined between Frechet spaces is a continuum. The proof relies on results in Banach spaces and on viewing a Frechet space as a projective limit of a sequence of Banach spaces. (c) 2006 Elsevier Inc. All rights reserved.

Original language	English (Ireland)
Pages (from-to)	1370-1380
Number of pages	11
Journal	Journal Of Mathematical Analysis And Applications
Volume	324
Issue number	2
DOIs	https://doi.org/10.13025/23754 https://doi.org/10.1016/j.jmaa.2006.01.042
Publication status	Published - 1 Dec 2006

Keywords

Continuums
Solution set
Topological structure

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10.13025/23754Licence: CC BY-NC-ND
10.1016/j.jmaa.2006.01.042

Cite this

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abstract = "In this paper we show that the solution set of certain Volterra inclusions defined between Frechet spaces is a continuum. The proof relies on results in Banach spaces and on viewing a Frechet space as a projective limit of a sequence of Banach spaces. (c) 2006 Elsevier Inc. All rights reserved.",

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AB - In this paper we show that the solution set of certain Volterra inclusions defined between Frechet spaces is a continuum. The proof relies on results in Banach spaces and on viewing a Frechet space as a projective limit of a sequence of Banach spaces. (c) 2006 Elsevier Inc. All rights reserved.

KW - Continuums

KW - Solution set

KW - Topological structure

UR - http://hdl.handle.net/10379/9681

UR - https://www.scopus.com/pages/publications/33749531349

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IS - 2

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Topological structure of solution sets in Frechet spaces: The projective limit approach: The projective limit approach

Abstract

Keywords

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