Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Operators in Hilbert spaces - theory and applications

2013/11/B/ST1/03613

Keywords:

Hilbert space operator

Descriptors:

  • ST1_9: Operator algebras and functional analysis

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

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Jan 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 (Y-m-d): 2014-07-08

Project end date (Y-m-d): 2017-07-07

Project duration:: 36 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Komputery PC (3 szt.) (90 PLN)
  2. Monitory komputerowe (3 szt.) (7 500 PLN)
  3. Laptopy.

Information in the final report

  • Publication in academic press/journals (23)
  • Book publications / chapters in book publications (2)
  1. 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 (rok: 2018, tom: 90:72, strony: 13150), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00020-018-2496-9 - link to the publication
  2. 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 (rok: 2019, tom: 13, strony: 359-385), Wydawca: Duke University Press
    Status:
    Published
    DOI:
    10.1215/17358787-2018-0042 - link to the publication
  3. Direct integrals of matrices
    Authors:
    P. Niemiec
    Academic press:
    Israel Journal of Mathematics (rok: 2016, tom: 212, strony: 507–520), Wydawca: The Hebrew University Magnes Press
    Status:
    Published
    DOI:
    10.1007/s11856-016-1298-5 - link to the publication
  4. The Sobolev moment problem and Jordan dilations
    Authors:
    Franciszek Hugon Szafraniec, Michal Wojtylak
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2016, tom: 444, strony: 1675–1689), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2016.07.047 - link to the publication
  5. Three paths toward the quantum angle operator
    Authors:
    J. P. Gazeau, F. H. Szafraniec
    Academic press:
    Annals of Physics (rok: 2016, tom: 375, strony: 16–35), Wydawca: Elsevier B.V.
    Status:
    Published
    DOI:
    10.1016/j.aop.2016.09.010 - link to the publication
  6. 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 (rok: 2015, tom: 269, strony: 2110-2164), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2015.01.024 - link to the publication
  7. APPLICATIONS OF AMENABLE SEMIGROUPS IN OPERATOR THEORY
    Authors:
    PIOTR NIEMIEC, PAWEŁ WÓJCIK
    Academic press:
    Studia Mathematica , Wydawca: Instytut Matematyczny PAN
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  8. 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 (rok: 2014, tom: 13, strony: 133-137), Wydawca: De Gruyter
    Status:
    Published
    DOI:
    10.2478/aupcsm-2014-0010 - link to the publication
  9. Dissymmetrising inner product spaces
    Authors:
    Franciszek Hugon Szafraniec
    Academic press:
    Operator Theory: Advances and Applications (rok: 2018, tom: 263, strony: 485–495), Wydawca: Springer
    Status:
    Published
    DOI:
    brak - link to the publication
  10. 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 (rok: 2017, tom: 17, strony: 863 – 864), Wydawca: Wiley-VCH Verlag
    Status:
    Published
    DOI:
    10.1002/pamm.201710399 - link to the publication
  11. NON-COMMUTATIVE FUNCTIONAL CALCULUS IN FINITE TYPE I VON NEUMANN ALGEBRAS
    Authors:
    P. Niemiec
    Academic press:
    Mathematical Proceedings of the Royal Irish Academy (rok: 2016, tom: 116A, strony: 113-147), Wydawca: Royal Irish Academy
    Status:
    Published
    DOI:
    10.3318/PRIA.2016.116.10 - link to the publication
  12. 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 (rok: 2017, tom: 272, strony: 1147-1181), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.021 - link to the publication
  13. MODELS FOR SUBHOMOGENEOUS C*-ALGEBRAS
    Authors:
    Piotr Niemiec
    Academic press:
    COLLOQUIUM MATHEMATICUM , Wydawca: ARS POLONA-RUCH
    Status:
    Submitted
    DOI:
    brak - link to the publication
  14. 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 (rok: 2017, tom: 454, strony: 1019–1066), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2017.05.021 - link to the publication
  15. On normal products of selfadjoint operators
    Authors:
    Il Bong Jung, Mohammed Hichem Mortad, and Jan Stochel
    Academic press:
    Kyungpook Mathematical Journal (rok: 2017, tom: 57, strony: 457-471), Wydawca: Kyungpook Mathematical Journal
    Status:
    Published
    DOI:
    10.5666/KMJ.2017.57.3.457 - 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 (rok: 2017, tom: 310, strony: 484–556), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2017.02.004 - link to the publication
  17. 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 (rok: 2016, tom: 435, strony: 302-314), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.021 - link to the publication
  18. ALGEBRA OF OPERATORS AFFILIATED WITH A FINITE TYPE I VON NEUMANN ALGEBRA
    Authors:
    Piotr Niemiec, Adam Wegert
    Academic press:
    UNIVERSITATIS IAGELLONICAE ACTA MATHEMATICA (rok: 2016, tom: 53, strony: 39-57), Wydawca: Jagiellonian Univ. Press
    Status:
    Published
    DOI:
    10.4467/20843828AM.16.005.5377 - link to the publication
  19. Elementary approach to homogeneous C*-algebras
    Authors:
    P. Niemiec
    Academic press:
    Rocky Mountain Journal of Mathematics (rok: 2015, tom: 45, strony: 1591-1630), Wydawca: Rocky Mountain Mathematics Consortium
    Status:
    Published
    DOI:
    10.1216/RMJ-2015-45-5-1591 - link to the publication
  20. Holomorphic Hermite polynomials in two complex variables
    Authors:
    Katarzyna Górska, Andrzej Horzela, Franciszek Hugon Szafraniec
    Academic press:
    Journal of Mathematical analysis and Applications (rok: 2019, tom: 470, strony: 750-769), Wydawca: ELSEVIER
    Status:
    Published
    DOI:
    brak - link to the publication
  21. The complex moment problem: determinacy and extendibility
    Authors:
    D. Cichoń, J. Stochel, F.H. Szafraniec
    Academic press:
    Mathematica Scandinavica , Wydawca: MATEMATISK INST UNIV NY MUNKEGADE
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  22. A solution to the Cauchy dual subnormality problem for 2-isometries
    Authors:
    Akash Anand, Sameer Chavan, Zenon Jan Jabłoński, Jan Stochel
    Academic press:
    Journal of Functional Analysis , Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  23. RANDOM PERTURBATIONS OF MATRIX POLYNOMIALS
    Authors:
    PATRYK PAGACZ, MICHAL WOJTYLAK
    Academic press:
    Electronic Journal of Probability , Wydawca: the Institute of Mathematical Statistics (IMS) and the Bernoulli Society
    Status:
    Submitted
    DOI:
    brak - link to the publication
  1. brak
    Authors:
    Piotr Budzyński, Zenon Jan Jabłoński, Il Bong Jung, Jan Stochel
    Book:
    Unbounded Weighted Composition Operators in L2-Spaces (rok: 2018, tom: 2209, strony: 189), Wydawca: SPRINGER-VERLAG BERLIN
    Status:
    Published
  2. 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 (rok: 2018, tom: 263, strony: 485-495), Wydawca: Birkhauser
    Status:
    Published

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