Cargando…

Convergence theorems for lattice group-valued measures.

Convergence Theorems for Lattice Group-valued Measures explains limit and boundedness theorems for measures taking values in abstract structures. The eBook begins with a historical survey about these topics since the beginning of the last century, moving on to basic notions and preliminaries on filt...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Antonio Boccuto; Xenofon Dimitriou
Formato: Electrónico eBook
Idioma:Inglés
Publicado: [Place of publication not identified] : Bentham Science Publisher
Temas:
Acceso en línea:Texto completo
Descripción
Sumario:Convergence Theorems for Lattice Group-valued Measures explains limit and boundedness theorems for measures taking values in abstract structures. The eBook 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.
Descripción Física:1 online resource
ISBN:1681080095
9781681080093