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Locally Convex Limit Spaces of Measurable Functions with Order Units and Its Duals

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dc.date.accessioned 2019-01-22T20:51:26Z
dc.date.available 2019-01-22T20:51:26Z
dc.date.issued 2018
dc.identifier.issn 1995-0802
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/149118
dc.description.abstract © 2018, Pleiades Publishing, Ltd. We consider linear normed spaces of measurable functions dominated by positive measurable function powered by real positive parameter. Also, we consider its dual and predual, and we propose a method for constructing a limit spaces of these functional spaces taken by power parameter. We prove that these limit spaces are (LF)-spaces and also prove that the limit spaces presume the relation of duality, i.e., the limit space of predual spaces is predual for the limit space of dominated functions, and the limit space of duals is dual for it. Also, the limit space of predual spaces is embedded into the limit space of dual spaces.
dc.relation.ispartofseries Lobachevskii Journal of Mathematics
dc.subject (LB)-space
dc.subject (LF)-space
dc.subject base norm
dc.subject Frechet space
dc.subject inductive limit
dc.subject locally convex space
dc.subject measurable function
dc.subject order unit
dc.subject power parameter
dc.subject projective limit
dc.title Locally Convex Limit Spaces of Measurable Functions with Order Units and Its Duals
dc.type Article
dc.relation.ispartofseries-issue 2
dc.relation.ispartofseries-volume 39
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 195
dc.source.id SCOPUS19950802-2018-39-2-SID85044280135


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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