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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Lipschitz geometry of metric spaces, its operator theory, and harmonic analysis

2019/35/D/ST1/01734

Keywords:

metric space free Banach space Banach space Lipschitz function Roe algebra convolution metric group operator theory Analysis in metric spaces

Descriptors:

  • ST1_9: Operator algebras and functional analysis
  • ST1_8: 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.

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Tomasz Marcin Kania 

Number of co-investigators in the project: 1

Call: SONATA 15 - announced on 2019-09-16

Amount awarded: 225 852 PLN

Project start date (Y-m-d): 2020-07-27

Project end date (Y-m-d): 2024-07-26

Project duration:: 48 months (the same as in the proposal)

Project status: Project completed

Project description

Download the project description in a pdf file

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 (22)
  1. On quantitative Gelfand-Phillips property and Phillips property
    Authors:
    Dongyang Chen, Tomasz Kania, Yingbin Ruan
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2022, tom: 516, strony: 126532), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2022.126532 - link to the publication
  2. Grothendieck spaces: the landscape and perspectives
    Authors:
    Manuel González, Tomasz Kania
    Academic press:
    Japanese Journal of Mathematics (rok: 2021, tom: 16, strony: 1–67)
    Status:
    Published
    DOI:
    10.1007/s11537-021-2116-3 - link to the publication
  3. The existence of UFO implies projectively universal morphisms
    Authors:
    Marek Balcerzak, Tomasz Kania
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2023, tom: 151, strony: 3737–3742), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/16422 - link to the publication
  4. Factorisation in stopping-time Banach spaces: identifying unique maximal ideals
    Authors:
    Richard Lechner, Tomasz Kania
    Academic press:
    Advances in Mathematics (rok: 2022, tom: 409, strony: 108643), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2022.108643 - link to the publication
  5. A forgotten theorem of Pełczyński: (λ+)-injective spaces need not be λ-injective—the case λ∈(1,2]
    Authors:
    Grzegorz Lewicki, Tomasz Kania
    Academic press:
    Studia Mathematica
    Status:
    Submitted
  6. Quantifying properties (K) and $(\mu^s)$
    Authors:
    Dongyang Chen, Tomasz Kania, Yingbin Ruan
    Academic press:
    Mathematische Nachrichten (rok: 2023, tom: 296, strony: 996--1012), Wydawca: Wiley-VCH GmbH
    Status:
    Published
    DOI:
    10.1002/mana.202100198 - link to the publication
  7. (1+)-complemented, (1+)-isomorphic copies of L1 in dual Banach spaces
    Authors:
    Dongyang Chen, Tomasz Kania, Yingbin Ruan
    Academic press:
    Archiv der Mathematik (rok: 2022, tom: 119, strony: 495–505), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1007/s00013-022-01778-2 - link to the publication
  8. Grothendieck spaces: the landscape and perspectives
    Authors:
    Manuel González, Tomasz Kania
    Academic press:
    Japanese Journal of Mathematics (rok: 2021, tom: 16, strony: 1–67)
    Status:
    Published
    DOI:
    10.1007/s11537-021-2116-3 - link to the publication
  9. Quantifications of boundedly complete and shrinking bases
    Authors:
    Dongyang Chen, Tomasz Kania, Yingbin Ruan
    Academic press:
    Illinois Journal of Mathematics (rok: 2022, tom: 66, strony: 627-645), Wydawca: University of Illinois at Urbana–Champaign
    Status:
    Published
    DOI:
    10.1215/00192082-10261081 - link to the publication
  10. A forgotten theorem of Pełczyński: (λ+)-injective spaces need not be λ-injective—the case λ∈(1,2]
    Authors:
    Tomasz Kania, Grzegorz Lewicki
    Academic press:
    Studia Mathematica (rok: 2023, tom: 268, strony: 311–317), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/sm220119-25-6 - link to the publication
  11. Differential embeddings into algebras of topological stable rank 1
    Authors:
    Tomasz Kania, Natalia Maślany
    Academic press:
    International Mathematics Research Notices (rok: 2024, tom: -, strony: -), Wydawca: Oxford Academic Press
    Status:
    Submitted
  12. Factorisation in stopping-time Banach spaces: identifying unique maximal ideals
    Authors:
    Richard Lechner, Tomasz Kania
    Academic press:
    Advances in Mathematics (rok: 2022, tom: 409, strony: 108643), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2022.108643 - link to the publication
  13. A forgotten theorem of Pełczyński: (λ+)-injective spaces need not be λ-injective—the case λ∈(1,2]
    Authors:
    Tomasz Kania, Grzegorz Lewicki
    Academic press:
    Studia Mathematica (rok: 2023, tom: 268, strony: 311–317), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/sm220119-25-6 - link to the publication
  14. Grothendieck spaces: the landscape and perspectives
    Authors:
    Manuel González, Tomasz Kania
    Academic press:
    Japanese Journal of Mathematics (rok: 2021, tom: 16, strony: 1–67)
    Status:
    Published
    DOI:
    10.1007/s11537-021-2116-3 - link to the publication
  15. Factorisation in stopping-time Banach spaces: identifying unique maximal ideals
    Authors:
    Tomasz Kania, Richard Lechner
    Academic press:
    Advances in Mathematics
    Status:
    Submitted
  16. Quantifying properties (K) and (μs)
    Authors:
    Dongyang Chen, Tomasz Kania, Yingbin Ruan
    Academic press:
    Mathematische Nachrichten (rok: 2022, )
    Status:
    Accepted for publication
  17. Quantifying properties (K) and $(\mu^s)$
    Authors:
    Dongyang Chen, Tomasz Kania, Yingbin Ruan
    Academic press:
    Mathematische Nachrichten (rok: 2023, tom: 296, strony: 996--1012), Wydawca: Wiley-VCH GmbH
    Status:
    Published
    DOI:
    10.1002/mana.202100198 - link to the publication
  18. (1+)-complemented, (1+)-isomorphic copies of L1 in dual Banach spaces
    Authors:
    Dongyang Chen, Tomasz Kania, Yingbin Ruan
    Academic press:
    Archiv der Mathematik (rok: 2022, tom: 119, strony: 495–505), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1007/s00013-022-01778-2 - link to the publication
  19. Continuity of coordinate functionals of filter bases in Banach spaces
    Authors:
    Noé de Rancourt, Tomasz Kania, Jarosław Swaczyna
    Academic press:
    Journal of Functional Analysis (rok: 2023, tom: 284, strony: 109869), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2023.109869 - link to the publication
  20. Differential embeddings into algebras of topological stable rank 1
    Authors:
    Tomasz Kania, Natalia Maślany
    Academic press:
    International Mathematics Research Notices (rok: 2024, tom: -, strony: -), Wydawca: Oxford Academic Press
    Status:
    Submitted
  21. Continuity of coordinate functionals of filter bases in Banach spaces
    Authors:
    Noé de Rancourt, Tomasz Kania, Jarosław Swaczyna
    Academic press:
    Journal of Functional Analysis (rok: 2023, tom: 284, strony: 109869), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2023.109869 - link to the publication
  22. On quantitative Gelfand-Phillips property and Phillips property
    Authors:
    Dongyang Chen, Tomasz Kania, Yingbin Ruan
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2022, tom: 516, strony: 126532), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2022.126532 - link to the publication

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