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

Project goals

The objectives of the present research project are investigations concerning: 1. orbits of operators, linear dynamics, invariant subspaces; 2. operator theory in function spaces; 3. operator positivity in matrix theory.

Keywords

orbits of operatorslinear dynamicsoperator theory in spaces of holomorphic functionsmodels for operators and multioperatorspositive operators/matricesinterpolation problems

Public support

  • Provider

    Czech Science Foundation

  • Programme

    Standard projects

  • Call for proposals

    Standardní projekty 18 (SGA0201400001)

  • Main participants

    Matematický ústav AV ČR, v. v. i.

  • Contest type

    VS - Public tender

  • Contract ID

    14-07880S

Alternative language

  • Project name in Czech

    Metody teorie funkcí a Banachových algeber v teorii operátorů V.

  • Annotation in Czech

    Cílem předkládaného projektu je výzkum v následujících okruzích otázek: 1. orbity operátorů, lineární dynamika, invariantní podprostory; 2. teorie operátorů v prostorech funkcí; 3. positivita operátorů v teorii matic.

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

    U - Uspěl podle zadání (s publikovanými či patentovanými výsledky atd.)

  • Project results evaluation

    Main directions of research in the presented project belong to functional analysis, matrix theory, apllications of functional analysis in topology, and real analysis. Obtained results were published in important international and czech journals. During the period of three years, 10 papers were published and 2 more were accepted for publications.

Solution timeline

  • Realization period - beginning

    Jan 1, 2014

  • Realization period - end

    Dec 31, 2016

  • Project status

    U - Finished project

  • Latest support payment

    Apr 5, 2016

Data delivery to CEP

  • Confidentiality

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

  • Data delivery code

    CEP17-GA0-GA-U/03:1

  • Data delivery date

    Jun 28, 2017

Finance

  • Total approved costs

    2,554 thou. CZK

  • Public financial support

    2,490 thou. CZK

  • Other public sources

    0 thou. CZK

  • Non public and foreign sources

    64 thou. CZK

Basic information

Recognised costs

2 554 CZK thou.

Public support

2 490 CZK thou.

97%

Provider

Czech Science Foundation

CEP

BA - General mathematics

Solution period

01. 01. 2014 - 31. 12. 2016

Similar projects(10)

Applications of the function theory and Banach algebras methods to the operator theory (GA201/96/0411) Applications of the function theory and Banach algebras methods to the operator theory (IAA119106) Methods of function theory and Banach algebras in operator theory (GA201/00/0208)