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Ordered Structures and Applications - Positivity VII (Zaanen Centennial Conference), 22-26 July 2013, Leiden, the Netherlands... Ordered Structures and Applications - Positivity VII (Zaanen Centennial Conference), 22-26 July 2013, Leiden, the Netherlands (Hardcover, 1st ed. 2016)
Marcel De Jeu, Ben De Pagter, Onno Van Gaans, Mark Veraar
R6,461 R5,252 Discovery Miles 52 520 Save R1,209 (19%) Ships in 12 - 19 working days

This book presents the proceedings of Positivity VII, held from 22-26 July 2013, in Leiden, the Netherlands. Positivity is the mathematical field concerned with ordered structures and their applications in the broadest sense of the word. A biyearly series of conferences is devoted to presenting the latest developments in this lively and growing discipline. The lectures at the conference covered a broad spectrum of topics, ranging from order-theoretic approaches to stochastic processes, positive solutions of evolution equations and positive operators on vector lattices, to order structures in the context of algebras of operators on Hilbert spaces. The contributions in the book reflect this variety and appeal to university researchers in functional analysis, operator theory, measure and integration theory and operator algebras. Positivity VII was also the Zaanen Centennial Conference to mark the 100th birth year of Adriaan Cornelis Zaanen, who held the chair of Analysis in Leiden for more than 25 years and was one of the leaders in the field during his lifetime.

Analysis in Banach Spaces - Volume I: Martingales and Littlewood-Paley Theory (Hardcover, 1st ed. 2016): Tuomas Hytoenen, Jan... Analysis in Banach Spaces - Volume I: Martingales and Littlewood-Paley Theory (Hardcover, 1st ed. 2016)
Tuomas Hytoenen, Jan Van Neerven, Mark Veraar, Lutz Weis
R3,822 R2,721 Discovery Miles 27 210 Save R1,101 (29%) Ships in 12 - 19 working days

The present volume develops the theory of integration in Banach spaces, martingales and UMD spaces, and culminates in a treatment of the Hilbert transform, Littlewood-Paley theory and the vector-valued Mihlin multiplier theorem. Over the past fifteen years, motivated by regularity problems in evolution equations, there has been tremendous progress in the analysis of Banach space-valued functions and processes. The contents of this extensive and powerful toolbox have been mostly scattered around in research papers and lecture notes. Collecting this diverse body of material into a unified and accessible presentation fills a gap in the existing literature. The principal audience that we have in mind consists of researchers who need and use Analysis in Banach Spaces as a tool for studying problems in partial differential equations, harmonic analysis, and stochastic analysis. Self-contained and offering complete proofs, this work is accessible to graduate students and researchers with a background in functional analysis or related areas.

Analysis in Banach Spaces - Volume II: Probabilistic Methods and Operator Theory (Hardcover, 1st ed. 2017): Tuomas Hytoenen,... Analysis in Banach Spaces - Volume II: Probabilistic Methods and Operator Theory (Hardcover, 1st ed. 2017)
Tuomas Hytoenen, Jan Van Neerven, Mark Veraar, Lutz Weis
R5,218 Discovery Miles 52 180 Ships in 10 - 15 working days

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.

Analysis in Banach Spaces - Volume II: Probabilistic Methods and Operator Theory (Paperback, Softcover reprint of the original... Analysis in Banach Spaces - Volume II: Probabilistic Methods and Operator Theory (Paperback, Softcover reprint of the original 1st ed. 2017)
Tuomas Hytoenen, Jan Van Neerven, Mark Veraar, Lutz Weis
R5,187 Discovery Miles 51 870 Ships in 10 - 15 working days

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.

Ordered Structures and Applications - Positivity VII (Zaanen Centennial Conference), 22-26 July 2013, Leiden, the Netherlands... Ordered Structures and Applications - Positivity VII (Zaanen Centennial Conference), 22-26 July 2013, Leiden, the Netherlands (Paperback, Softcover reprint of the original 1st ed. 2016)
Marcel De Jeu, Ben De Pagter, Onno Van Gaans, Mark Veraar
R4,418 Discovery Miles 44 180 Ships in 10 - 15 working days

This book presents the proceedings of Positivity VII, held from 22-26 July 2013, in Leiden, the Netherlands. Positivity is the mathematical field concerned with ordered structures and their applications in the broadest sense of the word. A biyearly series of conferences is devoted to presenting the latest developments in this lively and growing discipline. The lectures at the conference covered a broad spectrum of topics, ranging from order-theoretic approaches to stochastic processes, positive solutions of evolution equations and positive operators on vector lattices, to order structures in the context of algebras of operators on Hilbert spaces. The contributions in the book reflect this variety and appeal to university researchers in functional analysis, operator theory, measure and integration theory and operator algebras. Positivity VII was also the Zaanen Centennial Conference to mark the 100th birth year of Adriaan Cornelis Zaanen, who held the chair of Analysis in Leiden for more than 25 years and was one of the leaders in the field during his lifetime.

Analysis in Banach Spaces - Volume I: Martingales and Littlewood-Paley Theory (Paperback, Softcover reprint of the original 1st... Analysis in Banach Spaces - Volume I: Martingales and Littlewood-Paley Theory (Paperback, Softcover reprint of the original 1st ed. 2016)
Tuomas Hytoenen, Jan Van Neerven, Mark Veraar, Lutz Weis
R5,184 Discovery Miles 51 840 Ships in 10 - 15 working days

The present volume develops the theory of integration in Banach spaces, martingales and UMD spaces, and culminates in a treatment of the Hilbert transform, Littlewood-Paley theory and the vector-valued Mihlin multiplier theorem. Over the past fifteen years, motivated by regularity problems in evolution equations, there has been tremendous progress in the analysis of Banach space-valued functions and processes. The contents of this extensive and powerful toolbox have been mostly scattered around in research papers and lecture notes. Collecting this diverse body of material into a unified and accessible presentation fills a gap in the existing literature. The principal audience that we have in mind consists of researchers who need and use Analysis in Banach Spaces as a tool for studying problems in partial differential equations, harmonic analysis, and stochastic analysis. Self-contained and offering complete proofs, this work is accessible to graduate students and researchers with a background in functional analysis or related areas.

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