Articles liés à Probabilistic Normed Spaces

Probabilistic Normed Spaces - Couverture rigide

Lafuerza Guillen, Bernardo

 
9781783264681: Probabilistic Normed Spaces
Couverture rigide
ISBN 10 : 1783264683 ISBN 13 : 9781783264681
Editeur : Imperial College Press, 2014

Synopsis

This book provides a good opportunity for scholars and students to get familiar with the theory of Pn spaces and to acquire the basic knowledge in this field. Zentralblatt Math This book provides a comprehensive foundation in Probabilistic Normed (Pn) Spaces for anyone conducting research in this field of mathematics and statistics. It is the first to fully discuss the developments and the open problems of this highly relevant topic, introduced by A N Serstnev in the early 1960s as a response to problems of best approximations in statistics. The theory was revived by Claudi Alsina, Bert Schweizer and Abe Sklar in 1993, who provided a new, wider definition of a Pn space which quickly became the standard adopted by all researchers. This book is the first wholly up-to-date and thorough investigation of the properties, uses and applications of Pn spaces, based on the standard definition. Topics covered include: What are Pn spaces? The topology of Pn spaces Probabilistic norms and convergence Products and quotients of Pn spaces D-boundedness and D-compactness Normability Invariant and semi-invariant Pn spaces Linear operators Stability of some functional equations in Pn spaces Menger's 2-probabilistic normed spaces The theory of Pn spaces is relevant as a generalization of deterministic results of linear normed spaces and also in the study of random operator equations. This introduction will therefore have broad relevance across mathematical and statistical research, especially those working in probabilistic functional analysis and probabilistic geometry.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

“This book provides a good opportunity for scholars and students to get familiar with the theory of Pn spaces and to acquire the basic knowledge in this field.” Zentralblatt Math This book provides a comprehensive foundation in Probabilistic Normed (Pn) Spaces for anyone conducting research in this field of mathematics and statistics. It is the first to fully discuss the developments and the open problems of this highly relevant topic, introduced by A N Serstnev in the early 1960s as a response to problems of best approximations in statistics. The theory was revived by Claudi Alsina, Bert Schweizer and Abe Sklar in 1993, who provided a new, wider definition of a Pn space which quickly became the standard adopted by all researchers. This book is the first wholly up-to-date and thorough investigation of the properties, uses and applications of Pn spaces, based on the standard definition. Topics covered include: What are Pn spaces? The topology of Pn spaces Probabilistic norms and convergence Products and quotients of Pn spaces D-boundedness and D-compactness Normability Invariant and semi-invariant Pn spaces Linear operators Stability of some functional equations in Pn spaces Menger's 2-probabilistic normed spaces The theory of Pn spaces is relevant as a generalization of deterministic results of linear normed spaces and also in the study of random operator equations. This introduction will therefore have broad relevance across mathematical and statistical research, especially those working in probabilistic functional analysis and probabilistic geometry.

Revue de presse

This book provides a good opportunity for scholars and students to get familiar with the theory of PN spaces and to acquire the basic knowledge in this field. --Zentralblatt MATH

The book is clearly written and can be used as an introductory text to this area of research. Based on recent results, including authors' contributions, it is a good reference in the domain. Most of the chapters ends with a list of open problems, inviting the reader to further investigation and new developments in this active area of research. --Studia Universitatis Babes-Bolyai Mathematica

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Imperial College Press
Date d'édition
2014
Langue
anglais
ISBN 10 
1783264683
ISBN 13 
9781783264681
Reliure
Relié
Nombre de pages
234
Coordonnées du fabricant
Buchpark GmbH
https://www.buchpark.de

Krügerweg 1
Trebbin
Brandenburg
14959
Allemagne