Skip to main content
  • Book
  • © 2019

Positivity and Noncommutative Analysis

Festschrift in Honour of Ben de Pagter on the Occasion of his 65th Birthday

Birkhäuser
  • Shows the natural parallels and connections between the fields of positivity and noncommutative analysis
  • Informs about the current state in these fields
  • This volume is dedicated to Ben de Pagter in honour of his 65th birthday

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

Buy it now

Buying options

eBook USD 59.99 USD 109.00
45% discount Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 79.99 USD 139.99
43% discount Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (30 chapters)

  1. Front Matter

    Pages i-xiii
  2. 2-Local Automorphisms on AW -Algebras

    • Shavkat Ayupov, Karimbergen Kudaybergenov, Turabay Kalandarov
    Pages 1-13
  3. Orthosymmetric Archimedean-Valued Vector Lattices

    • Mohamed Amine Ben Amor, Karim Boulabiar, Jamel Jaber
    Pages 15-35
  4. Arens Extensions for Polynomials and the Woodbury–Schep Formula

    • Gerard Buskes, Stephan Roberts
    Pages 37-48
  5. Lebesgue Topologies and Mixed Topologies

    • Jurie Conradie
    Pages 61-78
  6. Lattice Homomorphisms in Harmonic Analysis

    • H. Garth Dales, Marcel de Jeu
    Pages 79-129
  7. Noncommutative Boyd Interpolation Theorems Revisited

    • Peter Dodds, Theresa Dodds
    Pages 131-152
  8. Strict Singularity: A Lattice Approach

    • Julio Flores, Francisco L. Hernández, Pedro Tradacete
    Pages 153-165
  9. Asymptotics of Operator Semigroups via the Semigroup at Infinity

    • Jochen Glück, Markus Haase
    Pages 167-203
  10. A Solution to the Al-Salam–Chihara Moment Problem

    • Wolter Groenevelt
    Pages 223-248
  11. The Katowice Problem for Analysts

    • Klaas Pieter Hart
    Pages 249-255
  12. Dedekind Complete and Order Continuous Banach C(K)-Modules

    • Arkady Kitover, Mehmet Orhon
    Pages 281-294
  13. Matrix Valued Laguerre Polynomials

    • Erik Koelink, Pablo Román
    Pages 295-320
  14. Weighted Noncommutative Banach Function Spaces

    • L. E. Labuschagne, C. Steyn
    Pages 321-337
  15. The UMD Property for Musielak–Orlicz Spaces

    • Nick Lindemulder, Mark Veraar, Ivan Yaroslavtsev
    Pages 349-363

About this book

Capturing the state of the art of the interplay between positivity, noncommutative analysis, and related areas including partial differential equations, harmonic analysis, and operator theory, this volume was initiated on the occasion of the Delft conference in honour of Ben de Pagter's 65th birthday. It will be of interest to researchers in positivity, noncommutative analysis, and related fields.

Contributions by Shavkat Ayupov, Amine Ben Amor, Karim Boulabiar, Qingying Bu, Gerard Buskes, Martijn Caspers, Jurie Conradie, Garth Dales, Marcel de Jeu, Peter Dodds, Theresa Dodds, Julio Flores, Jochen Glück, Jacobus Grobler, Wolter Groenevelt, Markus Haase, Klaas Pieter Hart, Francisco Hernández, Jamel Jaber, Rien Kaashoek, Turabay Kalandarov, Anke Kalauch, Arkady Kitover, Erik Koelink, Karimbergen Kudaybergenov, Louis Labuschagne, Yongjin Li, Nick Lindemulder, Emiel Lorist, Qi Lü, Miek Messerschmidt, Susumu Okada, Mehmet Orhon, Denis Potapov, Werner Ricker, Stephan Roberts, Pablo Román, Anton Schep, Claud Steyn, Fedor Sukochev, James Sweeney, Guido Sweers, Pedro Tradacete, Jan Harm van der Walt, Onno van Gaans, Jan van Neerven, Arnoud van Rooij, Freek van Schagen, Dominic Vella, Mark Veraar, Anthony Wickstead, Marten Wortel, Ivan Yaroslavtsev, and Dmitriy Zanin.

Editors and Affiliations

  • Department of Mathematics, University of Mississippi, Oxford, USA

    Gerard Buskes

  • Mathematical Institute, Leiden University, Leiden, The Netherlands; Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria, South Africa

    Marcel de Jeu

  • College of Science and Engineering, Flinders University, Adelaide, Australia

    Peter Dodds

  • Department of Mathematics, University of South Carolina, Columbia, USA

    Anton Schep

  • School of Mathematics and Statistics, University of New South Wales, Sydney, Australia

    Fedor Sukochev

  • Delft Institute of Applied Mathematics, Delft University of Technology, Delft, The Netherlands

    Jan van Neerven

  • Mathematical Sciences Research Centre, Queen’s University Belfast, Belfast, UK

    Anthony Wickstead

Bibliographic Information

  • Book Title: Positivity and Noncommutative Analysis

  • Book Subtitle: Festschrift in Honour of Ben de Pagter on the Occasion of his 65th Birthday

  • Editors: Gerard Buskes, Marcel de Jeu, Peter Dodds, Anton Schep, Fedor Sukochev, Jan van Neerven, Anthony Wickstead

  • Series Title: Trends in Mathematics

  • DOI: https://doi.org/10.1007/978-3-030-10850-2

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2019

  • Hardcover ISBN: 978-3-030-10849-6Published: 22 August 2019

  • eBook ISBN: 978-3-030-10850-2Published: 09 August 2019

  • Series ISSN: 2297-0215

  • Series E-ISSN: 2297-024X

  • Edition Number: 1

  • Number of Pages: XIII, 609

  • Number of Illustrations: 2 b/w illustrations, 8 illustrations in colour

  • Topics: Functional Analysis, Operator Theory, Order, Lattices, Ordered Algebraic Structures

Buy it now

Buying options

eBook USD 59.99 USD 109.00
45% discount Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 79.99 USD 139.99
43% discount Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access