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Stopping time techniques for analysts and probabilists

£39.99

Product description

This book considers convergence of adapted sequences of real and Banach space-valued integrable functions, emphasizing the use of stopping time techniques. The book will interest research and graduate students in probability theory, functional analysis and measure theory, as well as proving a useful textbook for specialized courses on martingale theory. This book considers convergence of adapted sequences of real and Banach space-valued integrable functions, emphasizing the use of stopping time techniques. Not only are highly specialized results given, but also elementary applications of these results. The book starts by discussing the convergence theory of martingales and sub-( or super-) martingales with values in a Banach space with or without the Radon-Nikodym property. Several inequalities which are of use in the study of the convergence of more general adapted sequence such as (uniform) amarts, mils and pramarts are proved and sub- and superpramarts are discussed and applied to the convergence of pramarts. Most of the results have a strong relationship with (or in fact are characterizations of) topological or geometrical properties of Banach spaces. The book will interest research and graduate students in probability theory, functional analysis and measure theory, as well as proving a useful textbook for specialized courses on martingale theory.
Ex-university library book with bookplate on front end paper but no internal markings.
London Mathematical Society Lecture Note Series 100

Item details

Author(s):
Egghe, L
Condition:
Used: very good
Format:
Paperback
ISBN-10:
0521317150
ISBN-13:
0521317150
Number of pages:
351
Publisher:
Cambridge University Press, 1984
Title:
Stopping time techniques for analysts and probabilists

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About this item

This book considers convergence of adapted sequences of real and Banach space-valued integrable functions, emphasizing the use of stopping time techniques. The book will interest research and graduate students in probability theory, functional analysis and measure theory, as well as proving a useful textbook for specialized courses on martingale theory. This book considers convergence of adapted sequences of real and Banach space-valued integrable functions, emphasizing the use of stopping time techniques. Not only are highly specialized results given, but also elementary applications of these results. The book starts by discussing the convergence theory of martingales and sub-( or super-) martingales with values in a Banach space with or without the Radon-Nikodym property. Several inequalities which are of use in the study of the convergence of more general adapted sequence such as (uniform) amarts, mils and pramarts are proved and sub- and superpramarts are discussed and applied to the convergence of pramarts. Most of the results have a strong relationship with (or in fact are characterizations of) topological or geometrical properties of Banach spaces. The book will interest research and graduate students in probability theory, functional analysis and measure theory, as well as proving a useful textbook for specialized courses on martingale theory.
Ex-university library book with bookplate on front end paper but no internal markings.
London Mathematical Society Lecture Note Series 100

Author(s):
Egghe, L
Condition:
Used: very good
Format:
Paperback
ISBN-10:
0521317150
ISBN-13:
0521317150
Number of pages:
351
Publisher:
Cambridge University Press, 1984
Title:
Stopping time techniques for analysts and probabilists

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