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Methods of function theory and Banach algebras in operator theory III.

Project goals

The objectives of the present research project are investigations concerning: 1. existence of invariant subspaces and subsets with given properties; 2. operator theory in spaces of holomorphic functions; 3. orbits of operators, hypercyclic and supercyclic vectors, semigroups of operators; 4. interpolation problems, operator models and commutant lifting theorem.

Keywords

operator theoryfunction theoryBanach algebras

Public support

  • Provider

    Czech Science Foundation

  • Programme

    Standard projects

  • Call for proposals

    Standardní projekty 9 (SGA02006GA-ST)

  • Main participants

    —

  • Contest type

    VS - Public tender

  • Contract ID

    201/06/0128

Alternative language

  • Project name in Czech

    Metody teorie funkcí a Banachových algeber v teorii operátorů III.

  • Annotation in Czech

    Cílem projektu je výzkum v následujících okruzích otázek: 1. existence invariantních podprostorů a podmnožin s danými vlastnostmi; 2. teorie operátorů v prostorech holomorfních funkcí; 3. orbity operátorů, hypercyklické a supercyklické vektory, semigrupyoperátorů; 4. interpolační problémy, operátorové modely a věta o liftingu komutantu.

Scientific branches

  • R&D category

    ZV - Basic research

  • CEP classification - main branch

    BA - General mathematics

  • CEP - secondary branch

    —

  • CEP - another secondary branch

    —

  • 10101 - Pure mathematics

Completed project evaluation

  • Provider evaluation

    V - Vynikající výsledky projektu (s mezinárodním významem atd.)

  • Project results evaluation

    New significant result were obtained in all circles of problems proposed in the project 201/06/0128. In particular, important results were proved for question concerning orbits of operators, reflexivity, existence of invariant subspaces, local spectral t

Solution timeline

  • Realization period - beginning

    Jan 1, 2006

  • Realization period - end

    Dec 31, 2008

  • Project status

    U - Finished project

  • Latest support payment

    Apr 25, 2008

Data delivery to CEP

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

  • Data delivery code

    CEP09-GA0-GA-U/02:2

  • Data delivery date

    Oct 22, 2009

Finance

  • Total approved costs

    1,136 thou. CZK

  • Public financial support

    1,136 thou. CZK

  • Other public sources

    0 thou. CZK

  • Non public and foreign sources

    0 thou. CZK

Basic information

Recognised costs

1 136 CZK thou.

Public support

1 136 CZK thou.

100%

Provider

Czech Science Foundation

CEP

BA - General mathematics

Solution period

01. 01. 2006 - 31. 12. 2008

Similar projects(10)

Applications of the function theory and Banach algebras methods to the operator theory (GA201/96/0411) Methods and function theory of Banach algebras in operator theory II. (GA201/03/0041) Methods of function theory and Banach algebras in operator theory V. (GA14-07880S)