Convergence Theorems for Lattice Group-Valued Measures

Released on by Antonio Boccuto
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  • Convergence Theorems for Lattice Group-Valued Measures Book Detail

  • Author : Antonio Boccuto
  • Release Date : 2015-04-06
  • Publisher : Bentham Science Publishers
  • Genre : Mathematics
  • Pages : 548
  • ISBN 13 : 1681080095
  • File Size : 84,84 MB
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Convergence Theorems for Lattice Group-Valued Measures by Antonio Boccuto PDF Summary

Book Description: 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.

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