| 书目名称 | The Dual of L∞(X,L,λ), Finitely Additive Measures and Weak Convergence | | 副标题 | A Primer | | 编辑 | John Toland | | 视频video | | | 丛书名称 | SpringerBriefs in Mathematics | | 图书封面 |  | | 描述 | .In measure theory, a familiar representation theorem due to F. Riesz identifies the dual space .L.p.(X,L,λ)*with .L.q.(X,L,λ), where 1/p+1/q=1, as long as 1 ≤ p<∞. However, .L.∞.(X,L,λ)* cannot be similarly described, and is instead represented as a class of finitely additive measures..This book provides a reasonably elementary account of the representation theory of .L.∞.(X,L,λ)*, examining pathologies and paradoxes, and uncovering some surprising consequences. For instance, a necessary and sufficient condition for a bounded sequence in .L.∞.(X,L,λ) to be weakly convergent, applicable in the one-point compactification of X, is given..With a clear summary ofprerequisites, and illustrated by examples including .L.∞.(.R.n.) and the sequence space .l.∞., this book makes possibly unfamiliar material, some of which may be new, accessible to students and researchers in the mathematical sciences.. | | 出版日期 | Book 2020 | | 关键词 | Riesz Representation; Finitely additive measures; Weak convergence; Yosida-Hewitt; Essential range; Extre | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-34732-1 | | isbn_softcover | 978-3-030-34731-4 | | isbn_ebook | 978-3-030-34732-1Series ISSN 2191-8198 Series E-ISSN 2191-8201 | | issn_series | 2191-8198 | | copyright | The Author(s), under exclusive license to Springer Nature Switzerland AG 2020 |
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书目名称The Dual of L∞(X,L,λ), Finitely Additive Measures and Weak Convergence影响因子(影响力)
书目名称The Dual of L∞(X,L,λ), Finitely Additive Measures and Weak Convergence影响因子(影响力)学科排名
书目名称The Dual of L∞(X,L,λ), Finitely Additive Measures and Weak Convergence网络公开度
书目名称The Dual of L∞(X,L,λ), Finitely Additive Measures and Weak Convergence网络公开度学科排名
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发表于 2025-3-21 19:00:19
