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Analysis in Banach Spaces: Volume II: Probabilistic Methods and Operator Theory 2017 Edition
Contributor(s): Hytönen, Tuomas (Author), Van Neerven, Jan (Author), Veraar, Mark (Author)
ISBN: 3319698079     ISBN-13: 9783319698076
Publisher: Springer
OUR PRICE:   $189.99  
Product Type: Hardcover - Other Formats
Published: February 2018
Qty:
Additional Information
BISAC Categories:
- Mathematics | Functional Analysis
- Mathematics | Mathematical Analysis
- Mathematics | Differential Equations - General
Dewey: 515.243
Series: Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge /
Physical Information: 1.38" H x 6.14" W x 9.21" (2.35 lbs) 616 pages
 
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Publisher Description:

This second volume of Analysis in Banach Spaces, Probabilistic Methods and Operator Theory, is the successor to Volume I, Martingales and Littlewood-Paley Theory. It presents a thorough study of the fundamental randomisation techniques and the operator-theoretic aspects of the theory. The first two chapters address the relevant classical background from the theory of Banach spaces, including notions like type, cotype, K-convexity and contraction principles. In turn, the next two chapters provide a detailed treatment of the theory of R-boundedness and Banach space valued square functions developed over the last 20 years. In the last chapter, this content is applied to develop the holomorphic functional calculus of sectorial and bi-sectorial operators in Banach spaces. Given its breadth of coverage, this book will be an invaluable reference to graduate students and researchers interested in functional analysis, harmonic analysis, spectral theory, stochastic analysis, and the operator-theoretic approach to deterministic and stochastic evolution equations.