1. Foreword

   • Lajos Molnár

   EditorialNotes 15 September 2022 Pages: 1 - 4

2. Multivariable Beurling–Lax representations: the commutative and free noncommutative settings

   • Joseph A. Ball
   • Vladimir Bolotnikov

   OriginalPaper 02 September 2022 Pages: 5 - 52

3. Some developments around the Katznelson–Tzafriri theorem

   • Charles Batty
   • David Seifert

   OriginalPaper Open access 02 September 2022 Pages: 53 - 84

4. Entries of the inverses of large positive definite Toeplitz matrices

   • Albrecht Böttcher

   OriginalPaper Open access 02 September 2022 Pages: 85 - 99

5. Tolerance relations and operator systems

   • Alain Connes
   • Walter D. van Suijlekom

   OriginalPaper 02 September 2022 Pages: 101 - 129

6. The Poincaré space of a C*-algebra

   • Esteban Andruchow
   • Gustavo Corach
   • Lázaro Recht

   OriginalPaper 02 September 2022 Pages: 131 - 187

7. Strict domain monotonicity of the principal eigenvalue and a characterization of lower boundedness for the Friedrichs extension of four-coefficient Sturm–Liouville operators

   • Fritz Gesztesy
   • Roger Nichols

   OriginalPaper 08 August 2022 Pages: 189 - 222

8. Toeplitz operators on the Hardy space over the infinite-dimensional polydisc

   • Kunyu Guo
   • Fugang Yan

   OriginalPaper 02 September 2022 Pages: 223 - 262

9. When is an operator S an analytic function of an operator T ?

   • John B. Conway
   • Don Hadwin

   OriginalPaper 07 September 2022 Pages: 263 - 278

10. Joint k-numerical ranges of operators

    • Jor-Ting Chan
    • Chi-Kwong Li
    • Yiu-Tung Poon

    OriginalPaper 02 September 2022 Pages: 279 - 319

11. Dilation theory A century of distancing from the frontiers

    • Javad Mashreghi

    OriginalPaper 08 August 2022 Pages: 321 - 370

12. Monomial operators

    • Jim Agler
    • John E. McCarthy

    OriginalPaper 14 September 2022 Pages: 371 - 381

13. Characteristic functions and functional models on noncommutative varieties

    • Gelu Popescu

    OriginalPaper 06 August 2022 Pages: 383 - 416

14. Matrix compression along isogenic blocks

    • Alexander Belton
    • Dominique Guillot
    • Mihai Putinar

    OriginalPaper Open access 02 September 2022 Pages: 417 - 448

15. Adjoint pairs and unbounded normal operators

    • Konrad Schmüdgen

    OriginalPaper Open access 01 September 2022 Pages: 449 - 467

16. Lebesgue type decompositions and Radon–Nikodym derivatives for pairs of bounded linear operators

    • Seppo Hassi
    • Henk De Snoo

    OriginalPaper Open access 01 September 2022 Pages: 469 - 503

17. Transporting positive definiteness

    • Franciszek Hugon Szafraniec

    OriginalPaper Open access 01 September 2022 Pages: 505 - 514

18. Capacity and the quasicentral modulus

    • Dan-Virgil Voiculescu

    OriginalPaper Open access 02 September 2022 Pages: 515 - 525

19. Which set is the numerical range of an operator?

    • Pei Yuan Wu
    • Hwa-Long Gau

    OriginalPaper 06 August 2022 Pages: 527 - 545