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Ordered Structures and Applications

Positivity VII (Zaanen Centennial Conference), 22-26 July 2013, Leiden, the Netherlands

  • Conference proceedings
  • © 2016

Overview

Editors:
  1. Marcel de Jeu

    1. Mathematical Institute, Leiden University, Leiden, The Netherlands

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  2. Ben de Pagter

    1. Delft University of Technology, Delft, The Netherlands

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  3. Onno van Gaans

    1. Leiden University, Leiden, The Netherlands

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  4. Mark Veraar

    1. Delft University of Technology, Delft, The Netherlands

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  • Provides insights into the state of the art in positivity
  • Reflects the main points of focus in the field and reports on the latest developments
  • Dedicated to Adriaan Cornelis Zaanen, one of the leaders in the field during his lifetime

Part of the book series: Trends in Mathematics (TM)

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Table of contents (28 papers)

  1. Front Matter

    Pages i-xxii
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  2. Minimal Projections with Respect to Numerical Radius

    • Asuman Güven Aksoy, Grzegorz Lewicki
    Pages 1-11

  3. On Ordered C*-algebras

    • Egor A. Alekhno
    Pages 13-23

  4. On L-, M-Weakly Compact and Rank-One Operators

    • Şafak Alpay
    Pages 25-33

  5. Characterization of Riesz Spaces with Topologically Full Center

    • Şafak Alpay, Mehmet Orhon
    Pages 35-49

  6. Reproducing Kernels and Positivity of Vector Bundles in Infinite Dimensions

    • Daniel Beltiţă, José E. Galé
    Pages 51-75

  7. Algebraic Absolutely Invertible Elements in Archimedean Riesz Algebras

    • Fethi Ben Amor, Karim Boulabiar
    Pages 77-90

  8. σ-Weak Orthomorphisms

    • Elmiloud Chil, Mohamed Mokaddem
    Pages 91-98

  9. Ergodic Theorems for L1-L∞ Contractions in Banach–Kantorovich Lp-lattices

    • V. I. Chilin, I. G. Ganiev
    Pages 99-110

  10. The Dedekind Completion of C(X) with Pointwise Discontinuous Functions

    • Nicolae Dăneţ
    Pages 111-126

  11. A Mazur–Orlicz Type Theorem in Interval Analysis and Its Consequences

    • Rodica-Mihaela Dăneţ
    Pages 127-159

  12. Narrow Operators on Lattice-normed Spaces and Vector Measures

    • Dina Dzadzaeva, Marat Pliev
    Pages 161-170

  13. Quasi-compactness and Uniform Convergence of Markov Operator Nets on KB-spaces

    • Nazife Erkurşun Özcan
    Pages 171-178

  14. Disjointly Homogeneous Banach Lattices and Applications

    • Julio Flores, Francisco L. Hernández, Pedro Tradacete
    Pages 179-201

  15. Monotonicity Properties of Banach Lattices and Their Applications – a Survey

    • Paweł Foralewski, Henryk Hudzik, Wojciech Kowalewski, Marek Wisła
    Pages 203-232

  16. Spectrum of Weighted Composition Operators Part III: Essential Spectra of Some Disjointness Preserving Operators on Banach Lattices

    • A. K. Kitover
    Pages 233-261

  17. Bernoulli Processes in Riesz Spaces

    • Wen-Chi Kuo, Jessica J. Vardy, Bruce A. Watson
    Pages 263-274

  18. Involutions and Complex Structures on Real Vector Lattices

    • Zalina Kusraeva
    Pages 275-279

  19. Banach Space-valued Extensions of Linear Operators on L∞

    • Nick Lindemulder
    Pages 281-306

  20. A Unified Approach to Topological Invariants of Lorentz–Orlicz–Marcinkiewicz Spaces

    • A. A. Mekler
    Pages 307-327
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Keywords

About this book

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.

Editors and Affiliations

  • Mathematical Institute, Leiden University, Leiden, The Netherlands

    Marcel de Jeu

  • Delft University of Technology, Delft, The Netherlands

    Ben de Pagter, Mark Veraar

  • Leiden University, Leiden, The Netherlands

    Onno van Gaans

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