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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Geometry of Banach spaces in analysis of high dimensional numerical problems

2016/21/B/ST1/00241

Keywords:

reduced basis method widths non-linear mappings dictionaries

Descriptors:

  • ST1_9: Operator algebras and functional analysis
  • ST1_16: Numerical analysis

Panel:

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

Host institution :

Instytut Matematyczny Polskiej Akademii Nauk

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Przemysław Wojtaszczyk 

Number of co-investigators in the project: 1

Call: OPUS 11 - announced on 2016-03-15

Amount awarded: 131 470 PLN

Project start date (Y-m-d): 2017-01-17

Project end date (Y-m-d): 2022-01-16

Project duration:: 60 months (the same as in the proposal)

Project status: Project settled

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.

Equipment purchased [PL]

  1. Laptop i dysk zewnętrzny (5 500 PLN)

Information in the final report

  • Publication in academic press/journals (14)
  1. Computing a Quantity of Interest from Observational Data
    Authors:
    Ronald DeVore, Simon Foucart, Guergana Petrova, Przemysław Wojtaszczyk
    Academic press:
    Constructive Approximation (rok: 2019, tom: 49, strony: 461-508), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00365-018-9433-7 - link to the publication
  2. Greedy approximation for biorthogonal systems in quasi-Banach spaces.
    Authors:
    Fernando Albiac, Jose Luis Ansorena, Pablo Berna, Przemysław Wojtaszczyk
    Academic press:
    Dissertationes Mathematicae (rok: 2021, tom: 560, strony: 32143), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/dm817-11-2020 - link to the publication
  3. On certain subspaces of $l_p$ for $0
    Authors:
    Fernando Albiac; Jose Luis Ansorena; Przemyslaw Wojtaszczyk
    Academic press:
    Mathematische Annalen (rok: 2021, tom: 379, strony: 465-502), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00208-020-02069-3 - link to the publication
  4. Lorentz spaces and embeddings included by almost greedy bases in superreflexive Banach spaces
    Authors:
    Jose L. Ansorena, Glenier Bello, P. Wojtaszczyk
    Academic press:
    Israel Journal of Mathematics , Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  5. On a 'philosophical' question about Banach envelopes
    Authors:
    Fernando Albiac · José L. Ansorena · Przemysław Wojtaszczyk
    Academic press:
    Revista Matemática Complutense (rok: 2021, tom: 34, no. 3,, strony: 747-759), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s13163-020-00374-8 - link to the publication
  6. Toward an optimal theory of integration for quasi-Banach-space-valued functions
    Authors:
    Jose L. Ansorena, Glenier Bello
    Academic press:
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. , Wydawca: Springer
    Status:
    Submitted
    DOI:
    brak - link to the publication
  7. An operator model in the annulus
    Authors:
    Glenier Bello, Dimitry Yakubovich
    Academic press:
    J. Operator Theory , Wydawca: Fundatia Theta
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  8. Lipschitz widths
    Authors:
    G. Petrova, P. Wojtaszczyk
    Academic press:
    Constructive Approximation , Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  9. Optimal stable nonlinear approximation
    Authors:
    Albert Cohen, Ronald DeVore, Guergana Petrova, Przemysław Wojtaszczyk
    Academic press:
    Foundations of Computational Mathematics. (rok: 2021, ), Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    10.1007/s10208-021-09494-z - link to the publication
  10. Sparse approximation in p-Banach spaces with applications to the efficiency of the TGA in the Hardy spaces Hp(D^d) for d\ge 1
    Authors:
    Fernando Albiac, Jose L. Ansorena, Glenier Bello
    Academic press:
    Compositio Mathematica , Wydawca: London Mathematical Society
    Status:
    Submitted
    DOI:
    brak - link to the publication
  11. Uniqueness of unconditional basis of $H_p(T)+\ell_2$ and H_p(T)+T^{(2)}$ for $0
    Authors:
    Fernando Albiac, Jose L. Ansorena, P. Wojtaszczyk
    Academic press:
    Journal of Functional Analysis , Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  12. Conditional Quasi-Greedy Bases in Non-superreflexive Banach Spaces
    Authors:
    Fernando Albiac, Jose L. Ansorena, Przemysław Wojtaszczyk Wojtaszczyk
    Academic press:
    Constructive Approximation (rok: 2019, tom: 49,1, strony: 103-122), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00365-017-9399-x - link to the publication
  13. Optimal Algorithms for computing average temperatures
    Authors:
    S. Foucart, M. Hielsberg, G. Mullendore, G. Petrova, P. Wojtaszczyk
    Academic press:
    Mathematics of Climate and Weather Forecasting (rok: 2019, tom: 5, strony: 34-44), Wydawca: De Gruyter
    Status:
    Published
    DOI:
    10.1515/mcwf-2019-0003 - link to the publication
  14. Quasi-greedy bases in ℓp (0 < p < 1) are democratic
    Authors:
    FernandoAlbiac, José L.Ansorena Przemysław Wojtaszczyk
    Academic press:
    Journal of Functional Analysis (rok: 2021, tom: 280 n.7, strony: 45312), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2020.108871 - link to the publication

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