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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Function spaces, geometry of Banach spaces and applications

2012/07/B/ST1/03360

Keywords:

Banach space function space critical Sobolev space Banach manifold Banach lattice Köthe space L^{1} space usual and weighted Calderon-Lozanovskii space Orlicz-Lorentz space Orlicz space Orlicz function space of continuous functions over a compact topological Hausdorff space predual nonlinear Schrödinger differential equation scattering theory generalized inverse operators perturbations Fredholm operators ill-possed problem compact and adjoint linear operator orthogonal complementality order and usual asymptotically isometric copy of c_{0} l^{∞} i l^{1} Luxemburg norm quasi-norm rotundity properties moduli and characteristic of rotundity fixed point property weak fixed point property non-expansive mapping property of weak orthogonality M-constants extreme point

Descriptors:

  • ST1_9: Operator algebras and functional analysis
  • ST1_8: Analysis
  • ST1_11: Partial differential equations

Panel:

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

Host institution :

Uniwersytet im. Adama Mickiewicza w Poznaniu, Wydział Matematyki i Informatyki

woj. wielkopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Henryk Hudzik 

Number of co-investigators in the project: 4

Call: OPUS 4 - announced on 2012-09-15

Amount awarded: 358 000 PLN

Project start date (Y-m-d): 2013-06-27

Project end date (Y-m-d): 2017-06-26

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

Project status: Project settled

Equipment purchased [PL]

  1. Laptop (4 szt.) (20 000 PLN)

Information in the final report

  • Publication in academic press/journals (8)
  1. M-constants in Orlicz-Lorentz sequence spaces with applications to fixed point theory
    Authors:
    Yunan Cui, Paweł Foralewski, Henryk Hudzik
    Academic press:
    Fixed Point Theory (rok: 2018, tom: 19, no 1, strony: 141-166), Wydawca: House of the Book of Science Cluj-Napoca, Rumunia
    Status:
    Published
    DOI:
    10.24193/fpt-ro.2018.1.11 - link to the publication
  2. Normed Orlicz function spaces which can be quasi-renormed with easily calculable quasinorms
    Authors:
    Paweł Foralewski, Henryk Hudzik, Radosław Kaczmarek, Miroslav Krbec
    Academic press:
    Banach Journal of Mathematical Analysis (rok: 2017, tom: 11, no 3, strony: 636-660), Wydawca: Duke University Press
    Status:
    Published
    DOI:
    10.1215/17358787-2017-0009 - link to the publication
  3. M-constants in Orlicz-Lorentz function spaces
    Authors:
    Yunan Cui, Paweł Foralewski, Henryk Hudzik
    Academic press:
    Mathematische Nachrichten (), Wydawca: WILEY-VCH
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  4. M-constants, Dominguez-Benavedes coefficient, and weak fixed point property in Orlicz sequence spaces equipped with the p-Amemiya norm
    Authors:
    Yunan Cui, Henryk Hudzik, Marek Wisła,
    Academic press:
    Fixed Point Theory and Applications (rok: 2016, tom: 2016:89, strony: 14), Wydawca: SpringerOpen Journal
    Status:
    Published
    DOI:
    10.1186/s13663-016-0576-6 - link to the publication
  5. Order asymptotically isometric copies of $l^{\infty}$, $l^{1}$ and $c_{0}$ in Banach function spaces
    Authors:
    Yunan Cui, Henryk Hudzik, Karol Leśnik
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2017, tom: 455, strony: 1139-1151), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2017.04.063 - link to the publication
  6. Problems of existence of order copies of $\ell^\infty$ and $L_p(\nu)$ in some non-Banach K"othe spaces
    Authors:
    Henryk Hudzik, Radosław Kaczmarek, Yuwen Wang, Marek Wójtowicz
    Academic press:
    Positivity (rok: 2019, tom: -, strony: 45310), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11117-019-00645-9 - link to the publication
  7. Closed Complemented Subspaces of Banach Spaces and Existence of Bounded Quasi-linear Generalized Inverses
    Authors:
    Liu Guancji, Henryk Hudzik, Yuwen Wang
    Academic press:
    Numerical Functional Analysis and Optimization (rok: 2017, tom: brak, strony: 17), Wydawca: Taylor & Francis Online
    Status:
    Published
    DOI:
    10.1080/01630563.2017.1344247 - link to the publication
  8. Closedness of the set of extreme points of the unit ball in Orlicz spaces equipped with the p-Amemiya norm
    Authors:
    Marek Wisła
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2018, tom: 416, strony: 378–400), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2018.01.005 - link to the publication

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