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Countable enlargements of norm topologies and the quasidistinguished property

Autor: I. Tweddle, F. X. Catalan

Publikováno v: Glasgow Mathematical Journal. 35:235-238

Let E be a Hausdorff locally convex space with continuous dual E1 and let M be a subspace of the algebraic dual E* such that M ∩ E1 = {0} and dim M = ℵ0. In the terminology of [4] the Mackey topology τ(E, E1 + M) is called a countable enlargemen

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::61d927d3deb100fefddf17e695507ed8
https://doi.org/10.1017/s0017089500009794

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On the stability of barrelled topologies, III

Autor: W.J. Robertson, I. Tweddle, F.E. Yeomans

Publikováno v: Bulletin of the Australian Mathematical Society. 22:99-112

Let E be a barrelled space with dual F ≠ E*. It is shown that F has uncountable codimension in E*. If M is a vector subspace of E* of countable dimension with M ∩ F = {o}, the topology τ(E, F+M) is called a countable enlargement of τ(E, F). The

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e4b8c8cc8abc085304626404893fdefb
https://doi.org/10.1017/s0004972700006377

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