Positivity and Noncommutative Analysis: Festschrift in Honour of Ben de Pagter on the Occasion of his 65th Birthday

Description

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. Front Matter ....Pages i-xiii 2-Local Automorphisms on AW∗-Algebras (Shavkat Ayupov, Karimbergen Kudaybergenov, Turabay Kalandarov)....Pages 1-13 Orthosymmetric Archimedean-Valued Vector Lattices (Mohamed Amine Ben Amor, Karim Boulabiar, Jamel Jaber)....Pages 15-35 Arens Extensions for Polynomials and the Woodbury–Schep Formula (Gerard Buskes, Stephan Roberts)....Pages 37-48 On the Endpoints of De Leeuw Restriction Theorems (Martijn Caspers)....Pages 49-60 Lebesgue Topologies and Mixed Topologies (Jurie Conradie)....Pages 61-78 Lattice Homomorphisms in Harmonic Analysis (H. Garth Dales, Marcel de Jeu)....Pages 79-129 Noncommutative Boyd Interpolation Theorems Revisited (Peter Dodds, Theresa Dodds)....Pages 131-152 Strict Singularity: A Lattice Approach (Julio Flores, Francisco L. Hernández, Pedro Tradacete)....Pages 153-165 Asymptotics of Operator Semigroups via the Semigroup at Infinity (Jochen Glück, Markus Haase)....Pages 167-203 Markov Processes, Strong Markov Processes and Brownian Motion in Riesz Spaces (Jacobus J. Grobler)....Pages 205-222 A Solution to the Al-Salam–Chihara Moment Problem (Wolter Groenevelt)....Pages 223-248 The Katowice Problem for Analysts (Klaas Pieter Hart)....Pages 249-255 Onefold and Twofold Ellis–Gohberg Inverse Problems for Scalar Wiener Class Functions (M. A. Kaashoek, F. van Schagen)....Pages 257-267 Relatively Uniform Convergence in Partially Ordered Vector Spaces Revisited (Anke Kalauch, Onno van Gaans)....Pages 269-280 Dedekind Complete and Order Continuous Banach C(K)-Modules (Arkady Kitover, Mehmet Orhon)....Pages 281-294 Matrix Valued Laguerre Polynomials (Erik Koelink, Pablo Román)....Pages 295-320 Weighted Noncommutative Banach Function Spaces (L. E. Labuschagne, C. Steyn)....Pages 321-337 Majorization for Compact and Weakly Compact Polynomials on Banach Lattices (Yongjin Li, Qingying Bu)....Pages 339-348 The UMD Property for Musielak–Orlicz Spaces (Nick Lindemulder, Mark Veraar, Ivan Yaroslavtsev)....Pages 349-363 The ℓs-Boundedness of a Family of Integral Operators on UMD Banach Function Spaces (Emiel Lorist)....Pages 365-379 Backward Stochastic Evolution Equations in UMD Banach Spaces (Qi Lü, Jan van Neerven)....Pages 381-404 On the Lipschitz Decomposition Problem in Ordered Banach Spaces and Its Connections to Other Branches of Mathematics (Miek Messerschmidt)....Pages 405-423 Classes of Localizable Measure Spaces (Susumu Okada, Werner J. Ricker)....Pages 425-469 A Residue Formula for Locally Compact Noncommutative Manifolds (Denis Potapov, Fedor Sukochev, Dominic Vella, Dmitriy Zanin)....Pages 471-510 Regular States and the Regular Algebra Numerical Range (Anton R. Schep, James Sweeney)....Pages 511-535 Bilaplace Eigenfunctions Compared with Laplace Eigenfunctions in Some Special Cases (Guido Sweers)....Pages 537-561 Representations of the Dedekind Completions of Spaces of Continuous Functions (Jan Harm van der Walt)....Pages 563-581 Joint Representation of a Riesz Space and Its Conjugate Space (A. C. M. van Rooij)....Pages 583-590 When Do the Regular Operators Between Two Banach Lattices Form a Lattice? (A. W. Wickstead)....Pages 591-599 Lexicographic Cones and the Ordered Projective Tensor Product (Marten Wortel)....Pages 601-609