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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Subnormality and reflexivity of certain classes of unbounded operators in Hilbert spaces

2011/01/D/ST1/05805

Keywords:

unbounded operator subnormal operator reflexive operator composition operators weighted shift on directed tree

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 Rolniczy im. Hugona Kołłątaja w Krakowie, Wydział Inżynierii Środowiska i Geodezji

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Piotr Budzyński 

Number of co-investigators in the project: 1

Call: SONATA 1 - announced on 2011-03-15

Amount awarded: 116 502 PLN

Project start date (Y-m-d): 2011-12-01

Project end date (Y-m-d): 2014-11-30

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

Project status: Project settled

Equipment purchased [PL]

  1. Laptop wraz z akcesoriami (5 500 PLN)
  2. Drukarka (735 PLN)

Information in the final report

  • Publication in academic press/journals (7)
  1. Dense definiteness and boundedness of composition operators in L2-spaces via inductive limits
    Authors:
    P. Budzyński, A. Płaneta
    Academic press:
    Operators and Matrices (rok: 2015, tom: 9, strony: 853-876), Wydawca: Publishing House Element d.o.o.
    Status:
    Published
    DOI:
    10.7153/oam-09-50 - link to the publication
  2. Unbounded subnormal weighted shifts on directed trees. II
    Authors:
    P. Budzyński, Z. J. Jabłoński, I. B. Jung, J. Stochel
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2013, tom: 389, strony: 600-608), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2012.08.067 - link to the publication
  3. A note on k-hyperreflexivity of Toeplitz-harmonic subspaces
    Authors:
    P. Budzyński, K. Piwowarczyk, M. Ptak
    Academic press:
    Bulletin of the Korean Mathematical Society (rok: 2014, tom: 51, strony: 1727-1733), Wydawca: Korean Mathematical Society
    Status:
    Published
    DOI:
    10.4134/BKMS.2014.51.6.1727 - link to the publication
  4. A note on unbounded hyponormal composition operators in L2-spaces
    Authors:
    P. Budzyński
    Academic press:
    Journal of Function Spaces and Applications (rok: 2012, tom: 2012, strony: 45299), Wydawca: Hindawi Publishing Corporation
    Status:
    Published
    DOI:
    10.1155/2012/902853 - link to the publication
  5. Subnormal weighted shifts on directed trees and composition operators in L2 spaces with nondensely defined powers
    Authors:
    P. Budzyński, P. Dymek, Z. J. Jabłoński, J. Stochel
    Academic press:
    Abstract and Applied Analysis (rok: 2014, tom: 2014, strony: 45297), Wydawca: Hindawi Publishing Corporation
    Status:
    Published
    DOI:
    10.1155/2014/791817 - link to the publication
  6. Subnormal weighted shifts on directed trees whose nth powers have 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
  7. Unbounded subnormal composition operators in L2-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

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