The Dual of L X L Finitely Additive Measures and Weak Convergence is popular PDF and ePub book, written by John Toland in 2020-01-03, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, The Dual of L X L Finitely Additive Measures and Weak Convergence can be Read Online from any device for your convenience.
The Dual of L X L Finitely Additive Measures and Weak Convergence Book PDF Summary
In measure theory, a familiar representation theorem due to F. Riesz identifies the dual space Lp(X,L,λ)* with Lq(X,L,λ), where 1/p+1/q=1, as long as 1 ≤ p∞. However, iL/isub∞/sub(X,L,λ)* cannot be similarly described, and is instead represented as a class of finitely additive measures./ppThis book provides a reasonably elementary account of the representation theory of iL/isub∞/sub(X,L,λ)*, examining pathologies and paradoxes, and uncovering some surprising consequences. For instance, a necessary and sufficient condition for a bounded sequence in iL/isub∞/sub(X,L,λ) to be weakly convergent, applicable in the one-point compactification of X, is given./ppWith a clear summary of prerequisites, and illustrated by examples including iL/isub∞/sub(bR/bsupn/sup) and the sequence space il/isub∞/sub, this book makes possibly unfamiliar material, some of which may be new, accessible to students and researchers in the mathematical sciences.
Detail Book of The Dual of L X L Finitely Additive Measures and Weak Convergence PDF
- Author : John Toland
- Release : 03 January 2020
- Publisher : Springer Nature
- ISBN : 9783030347321
- Genre : Mathematics
- Total Page : 104 pages
- Language : English
- PDF File Size : 17,5 Mb
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