Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Algebraic and measure theoretic methods in operator theory

2021/43/B/ST1/01651

Keywords:

Positive operator valuded measures spectral measures operator moments noncommutative Choquet theory Korovkin type theorems hyperrigidity Brownian type operators with a subnormal element at the right bottom corner problem of similarity to a subnormal operator conditionally positive definite operators algebraic operators weighted shift operators

Descriptors:

  • ST1_009:

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 Józef Stochel 

Number of co-investigators in the project: 3

Call: OPUS 22 - announced on 2021-09-15

Amount awarded: 404 678 PLN

Project start date (Y-m-d): 2022-07-18

Project end date (Y-m-d): 2025-07-17

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

Project status: Project completed

Project description

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Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Information in the final report

  • Publication in academic press/journals (6)
  1. Lifting B-subnormal operators
    Authors:
    Sameer Chavan, Zenon Jan Jabłoński, Il Bong Jung, Jan Stochel
    Academic press:
    STUDIA MATHEMATICA (rok: 2024, tom: 277, strony: 123-150), Wydawca: IM PAN
    Status:
    Published
    DOI:
    10.4064/sm231005-9-6 - link to the publication
  2. Criteria for Algebraic Operators to be Unitary
    Authors:
    Zenon Jan Jabłoński, Il Bong Jung and Jan Stochel
    Academic press:
    Kyungpook Mathematical Journal (rok: 2023, tom: 63, strony: 45667), Wydawca: Kyungpook Mathematical Journal
    Status:
    Published
    DOI:
    10.5666/KMJ.2022.63.1.1 - link to the publication
  3. Convergence of power sequences of operators via their stability
    Authors:
    Zenon Jan Jabłoński, Il Bong Jung, Carlos Kubrusly, Jan Stochel
    Academic press:
    Banach Journal of Mathematical Analysis (rok: 2024, tom: 0,793055555555556, strony: 27 stron), Wydawca: Birkhäuser
    Status:
    Published
    DOI:
    10.1007/s43037-024-00371-9 - link to the publication
  4. CONVERGENCE OF POWER SEQUENCES OF B-OPERATORS WITH APPLICATIONS TO STABILITY
    Authors:
    Sameer Chavan, Zenon Jan Jabłoński, Il Bong Jung, Jan Stochel
    Academic press:
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY (rok: 2024, tom: 152, strony: 2035-2050), Wydawca: AMS
    Status:
    Published
    DOI:
    10.1090/proc/16674 - link to the publication
  5. Two-moment characterization of spectral measures on the real line
    Authors:
    Paweł Pietrzycki and Jan Stochel
    Academic press:
    Canadian Journal of Mathematics (rok: 2023, tom: 75, strony: 1369–1392), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.4153/S0008414X22000426 - link to the publication
  6. The hyperbolic cosine transform and its applications to composition operators
    Authors:
    Jan Stochel, Jerzy Bartłomiej Stochel
    Academic press:
    Linear Algebra and its Applications (rok: 2024, tom: 691, strony: 1–36), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.laa.2024.03.005 - link to the publication

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