Banach-Space Operators On C*-Probability Spaces Generated by Multi Semicircular Elements, Cho, Ilwoo (Saint Ambrose University, Iowa)

Автор: Pisier
Название: Martingales in Banach Spaces
ISBN: 1107137241 ISBN-13(EAN): 9781107137240
Издательство: Cambridge Academ
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Описание: Martingales arise in many areas of probability theory. This book focuses on their applications to the geometry of Banach spaces and discusses the interplay of Banach space valued martingales with various other areas of analysis. It is accessible to graduates with a basic knowledge of real and complex analysis.

Автор: Vidyadhar Mandrekar; Barbara R?diger
Название: Stochastic Integration in Banach Spaces
ISBN: 3319365223 ISBN-13(EAN): 9783319365220
Издательство: Springer
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Описание: Considering Poisson random measures as the driving sources for stochastic (partial) differential equations allows us to incorporate jumps and to model sudden, unexpected phenomena.

Автор: R.M. Dudley; M.G. Hahn; J. Kuelbs
Название: Probability in Banach Spaces, 8: Proceedings of the Eighth International Conference
ISBN: 0817636579 ISBN-13(EAN): 9780817636579
Издательство: Springer
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Описание: Probability limit theorems in infinite-dimensional spaces give conditions un- der which convergence holds uniformly over an infinite class of sets or functions. Early results in this direction were the Glivenko-Cantelli, Kolmogorov-Smirnov and Donsker theorems for empirical distribution functions. Already in these cases there is convergence in Banach spaces that are not only infinite-dimensional but nonsep- arable. But the theory in such spaces developed slowly until the late 1970's. Meanwhile, work on probability in separable Banach spaces, in relation with the geometry of those spaces, began in the 1950's and developed strongly in the 1960's and 70's. We have in mind here also work on sample continuity and boundedness of Gaussian processes and random methods in harmonic analysis. By the mid-70's a substantial theory was in place, including sharp infinite-dimensional limit theorems under either metric entropy or geometric conditions. Then, modern empirical process theory began to develop, where the collection of half-lines in the line has been replaced by much more general collections of sets in and functions on multidimensional spaces. Many of the main ideas from probability in separable Banach spaces turned out to have one or more useful analogues for empirical processes. Tightness became asymptotic equicontinuity. Metric entropy remained useful but also was adapted to metric entropy with bracketing, random entropies, and Kolchinskii-Pollard entropy. Even norms themselves were in some situations replaced by measurable majorants, to which the well-developed separable theory then carried over straightforwardly.

Автор: Jorgen Hoffmann-Jorgensen; James Kuelbs; Michael B
Название: Probability in Banach Spaces, 9
ISBN: 0817637443 ISBN-13(EAN): 9780817637446
Издательство: Springer
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Описание: These papers include recent advances in classical and modern limit theorems in Banach spaces, as well as techniques developed in this area to apply to empirical processes, spacing estimates, large deviation probabilities, measure inequalities, and more.

Автор: Anatole Beck
Название: Probability in Banach Spaces
ISBN: 3540077936 ISBN-13(EAN): 9783540077930
Издательство: Springer
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Автор: A. Beck
Название: Probability in Banach Spaces III
ISBN: 354010822X ISBN-13(EAN): 9783540108221
Издательство: Springer
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Автор: Xavier Fernique; Bernard Heinkel; Paul-Andre Meyer
Название: Geometrical and Statistical Aspects of Probability in Banach Spaces
ISBN: 3540164871 ISBN-13(EAN): 9783540164876
Издательство: Springer
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Автор: Michel Ledoux; Michel Talagrand
Название: Probability in Banach Spaces
ISBN: 364220211X ISBN-13(EAN): 9783642202117
Издательство: Springer
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Описание: Based on recent developments, such as new isoperimetric inequalities and random process techniques, this book presents a thorough treatment of the main aspects of Probability in Banach spaces, and of some of their links to Geometry of Banach spaces.

Название: Representations of Linear Operators Between Banach Spaces
ISBN: 3034806418 ISBN-13(EAN): 9783034806411
Издательство: Springer
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Описание: The book deals with the representation in series form of compact linear operators acting between Banach spaces, and provides an analogue of classical Hilbert space results of this nature that have their roots in the work of Hilbert, F. Riesz and E. Schmidt.

Автор: Goebel, Kazimierz (professor (emeritus), Maria Curie-sklodowska University, Lublin, Poland) Prus, Stanislaw (professor, Maria Curie-sklodowska Univers
Название: Elements of geometry of balls in banach spaces
ISBN: 0198827350 ISBN-13(EAN): 9780198827351
Издательство: Oxford Academ
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Описание: This book forms the basis of a one-semester course for advanced undergraduate or beginning graduate students studying the geometry of balls in Banach spaces.

Автор: Vidyadhar Mandrekar; Barbara R?diger
Название: Stochastic Integration in Banach Spaces
ISBN: 3319128523 ISBN-13(EAN): 9783319128528
Издательство: Springer
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Описание: Considering Poisson random measures as the driving sources for stochastic (partial) differential equations allows us to incorporate jumps and to model sudden, unexpected phenomena.

Автор: Jorgen Hoffmann-Jorgensen; James Kuelbs; Michael B
Название: Probability in Banach Spaces, 9
ISBN: 1461266823 ISBN-13(EAN): 9781461266822
Издательство: Springer
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Описание: The papers contained in this volume are an indication of the topics th discussed and the interests of the participants of The 9 International Conference on Probability in Banach Spaces, held at Sandjberg, Denmark, August 16-21, 1993.