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Convergence Theorems for Lattice Group-Valued Measures Cover

Convergence Theorems for Lattice Group-Valued Measures

Publisher:Bentham Science
By: Antonio Boccuto and  Xenofon Dimitriou  
Paid access
|Apr 2015
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Convergence Theorems for Lattice Group-valued Measures explains limit and boundedness theorems for measures taking values in abstract structures. The book begins with a historical survey about these topics since the beginning of the last century moving on to basic notions and preliminaries on filters/ideals lattice groups measures and tools which are featured in the rest of this text. Readers will also find a survey on recent classical results about limit boundedness and extension theorems for lattice group-valued measures followed by information about recent developments on these kinds of theorems and several results in the setting of filter/ideal convergence. In addition each chapter has a general description of the topics and an appendix on random variables concepts and lattices is also provided. Thus readers will benefit from this book through an easy-to-read historical survey about all the problems on convergence and boundedness theorems and the techniques and tools which are used to prove the main results. The book serves as a primer for undergraduate postgraduate and Ph. D. students on mathematical lattice and topological groups and filters and a treatise for expert researchers who aim to extend their knowledge base.
PDF ISBN: 978-1-68108-009-3
Publisher: Bentham Science
Copyright owner: © 2015 Bentham Science Publishers
Publication date: 2015
Language: English
Pages: 565
Related subjects:
Mathematics,
Analysis

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