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Operators in Hilbert spaces - theory and applications

2013/11/B/ST1/03613

Keywords

Descriptors

  • ST1_9: Algebry operatorowe i analiza funkcjonalna

Panel

ST1 – Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution

Uniwersytet Jagielloński, Wydział Matematyki i Informatyki

Voivodeship: małopolskie

Other projects carried out by the institution »

Principal investigator (from the host institution)

prof. Jan Józef Stochel

Number of co-investigators in the project: 6

Call

OPUS 6 – announced on 2013-09-16

Amount awarded
534 180 PLN
Project start date
2014-07-08
Project end date
2017-07-07
Project duration
36 months (the same as in the proposal)
Project status
Project settled

Equipment purchased [PL]

  1. Komputery PC (3 pcs). Cost: 90 PLN
  2. Laptopy.
  3. Monitory komputerowe (3 pcs). Cost: 7 500 PLN

Information in the final report

Publication in academic press/journals (20)

  1. New lower bound for the distance to singularity of regular matrix pencils

    Authors:
    Thomas Berger, Hannes Gernandt, Carsten Trunk, Henrik Winkler, Michał Wojtylak
    Academic press:
    Proceedings in Applied Mathematics and Mechanics (year: 2017, volume: 17, pages: 863 – 864), Publisher: Wiley-VCH Verlag
    Status:
    Published
    DOI:
    10.1002/pamm.201710399 – link to the publication

  2. A subnormal weighted shift on a directed tree whose nth power has trivial domain

    Authors:
    P. Budzyński, Z. J. Jabłoński, I. B. Jung, J. Stochel
    Academic press:
    Journal of Mathematical Analysis and Applications (year: 2016, volume: 435, pages: 302-314), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2015.10.021 – link to the publication

  3. Unbounded subnormal composition operators in L^2-spaces

    Authors:
    P. Budzyński, Z. J. Jabłoński, I. B. Jung, J. Stochel,
    Academic press:
    Journal of Functional Analysis (year: 2015, volume: 269, pages: 2110-2164), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2015.01.024 – link to the publication

  4. Holomorphic Hermite polynomials in two complex variables

    Authors:
    Katarzyna Górska, Andrzej Horzela, Franciszek Hugon Szafraniec
    Academic press:
    Journal of Mathematical analysis and Applications (year: 2019, volume: 470, pages: 750-769), Publisher: ELSEVIER
    Status:
    Published

  5. Composition operators on Hilbert spaces of entire functions with analytic symbols

    Authors:
    Jan Stochel, Jerzy Bartłomiej Stochel
    Academic press:
    Journal of Mathematical Analysis and Applications (year: 2017, volume: 454, pages: 1019–1066), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2017.05.021 – link to the publication

  6. Dissymmetrising inner product spaces

    Authors:
    Franciszek Hugon Szafraniec
    Academic press:
    Operator Theory: Advances and Applications (year: 2018, volume: 263, pages: 485–495), Publisher: Springer
    Status:
    Published

  7. ALGEBRA OF OPERATORS AFFILIATED WITH A FINITE TYPE I VON NEUMANN ALGEBRA

    Authors:
    Piotr Niemiec, Adam Wegert
    Academic press:
    UNIVERSITATIS IAGELLONICAE ACTA MATHEMATICA (year: 2016, volume: 53, pages: 39-57), Publisher: Jagiellonian Univ. Press
    Status:
    Published
    DOI:
    10.4467/20843828AM.16.005.5377 – link to the publication

  8. A Subnormal Completion Problem for Weighted Shifts on Directed Trees

    Authors:
    George R. Exner, Il Bong Jung, Jan Stochel and Hye Yeong Yun
    Academic press:
    Integral Equations and Operator Theory (year: 2018, volume: 90:72, pages: 13150), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00020-018-2496-9 – link to the publication

  9. COMPLETE SYSTEMS OF UNITARY INVARIANTS FOR SOME CLASSES OF 2-ISOMETRIES

    Authors:
    AKASH ANAND, SAMEER CHAVAN, ZENON JAN JABŁOŃSKI, and JAN STOCHEL
    Academic press:
    Banach Journal of Mathematical Analysis (year: 2019, volume: 13, pages: 359-385), Publisher: Duke University Press
    Status:
    Published
    DOI:
    10.1215/17358787-2018-0042 – link to the publication

  10. Rank two perturbations of matrices and operators and operator model for t-transformation of probability measures

    Authors:
    Anna Kula, Michał Wojtylak,Janusz Wysoczanski
    Academic press:
    Journal of Functional Analysis (year: 2017, volume: 272, pages: 1147-1181), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2016.10.021 – link to the publication

  11. Three paths toward the quantum angle operator

    Authors:
    J. P. Gazeau, F. H. Szafraniec
    Academic press:
    Annals of Physics (year: 2016, volume: 375, pages: 16–35), Publisher: Elsevier B.V.
    Status:
    Published
    DOI:
    10.1016/j.aop.2016.09.010 – link to the publication

  12. Elementary approach to homogeneous C*-algebras

    Authors:
    P. Niemiec
    Academic press:
    Rocky Mountain Journal of Mathematics (year: 2015, volume: 45, pages: 1591-1630), Publisher: Rocky Mountain Mathematics Consortium
    Status:
    Published
    DOI:
    10.1216/RMJ-2015-45-5-1591 – link to the publication

  13. On normal products of selfadjoint operators

    Authors:
    Il Bong Jung, Mohammed Hichem Mortad, and Jan Stochel
    Academic press:
    Kyungpook Mathematical Journal (year: 2017, volume: 57, pages: 457-471), Publisher: Kyungpook Mathematical Journal
    Status:
    Published
    DOI:
    10.5666/KMJ.2017.57.3.457 – link to the publication

  14. Direct integrals of matrices

    Authors:
    P. Niemiec
    Academic press:
    Israel Journal of Mathematics (year: 2016, volume: 212, pages: 507–520), Publisher: The Hebrew University Magnes Press
    Status:
    Published
    DOI:
    10.1007/s11856-016-1298-5 – link to the publication

  15. The Sobolev moment problem and Jordan dilations

    Authors:
    Franciszek Hugon Szafraniec, Michal Wojtylak
    Academic press:
    Journal of Mathematical Analysis and Applications (year: 2016, volume: 444, pages: 1675–1689), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2016.07.047 – link to the publication

  16. Subnormality of unbounded composition operators over one-circuit directed graphs: exotic examples

    Authors:
    P. Budzyński, Z. J. Jabłoński, I. B. Jung, J. Stochel
    Academic press:
    Advances in Mathematics (year: 2017, volume: 310, pages: 484–556), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2017.02.004 – link to the publication

  17. NON-COMMUTATIVE FUNCTIONAL CALCULUS IN FINITE TYPE I VON NEUMANN ALGEBRAS

    Authors:
    P. Niemiec
    Academic press:
    Mathematical Proceedings of the Royal Irish Academy (year: 2016, volume: 116A, pages: 113-147), Publisher: Royal Irish Academy
    Status:
    Published
    DOI:
    10.3318/PRIA.2016.116.10 – link to the publication

  18. A la recherche de la preuve perdue: a simple proof of the Ficken theorem

    Authors:
    D. Cichoń
    Academic press:
    Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica (year: 2014, volume: 13, pages: 133-137), Publisher: De Gruyter
    Status:
    Published
    DOI:
    10.2478/aupcsm-2014-0010 – link to the publication

  19. The complex moment problem: determinacy and extendibility

    Authors:
    D. Cichoń, J. Stochel, F.H. Szafraniec
    Status:
    Accepted for publication

  20. APPLICATIONS OF AMENABLE SEMIGROUPS IN OPERATOR THEORY

    Authors:
    PIOTR NIEMIEC, PAWEŁ WÓJCIK
    Status:
    Accepted for publication

Book publications / chapters in book publications (2)

  1. Coherence, Squeezing and Entanglement: An Example of Peaceful Coexistence

    Authors:
    Katarzyna Górska, Andrzej Horzela and Franciszek Hugon Szafraniec
    Book:
    Operator Theory Advances and Applications: Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations (year: 2018, volume: 263, pages: 485-495), Publisher: Birkhauser
    Status:
    Published

  2. brak

    Authors:
    Piotr Budzyński, Zenon Jan Jabłoński, Il Bong Jung, Jan Stochel
    Book:
    Unbounded Weighted Composition Operators in L2-Spaces (year: 2018, volume: 2209, pages: 189), Publisher: SPRINGER-VERLAG BERLIN
    Status:
    Published

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