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Orbits, invariant subspaces and positivity in operator theory

Public support

  • Provider

    Academy of Sciences of the Czech Republic

  • Programme

    Grants of distinctly investigative character focused on the sphere of research pursued at present particularly in the Academy of Sciences of the Czech Republic

  • Call for proposals

    Výzkumné granty 9 (SAV02009-A)

  • Main participants

  • Contest type

    VS - Public tender

  • Contract ID

    IAA100190903

Alternative language

  • Project name in Czech

    Orbity, invariantní podprostory a positivita v teorii operátorů

  • Annotation in Czech

    Cílem projektu je studium v následujících vzájemně souvisejících okruzích otázek: 1. orbity operátorů, hypercyklické a supercyklické vektory; 2. existence invariantních podprostorů a podmnožin; 3. operatorová positivita 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

  • OECD FORD - equivalent branches <br>(according to the <a href="http://www.vyzkum.cz/storage/att/E6EF7938F0E854BAE520AC119FB22E8D/Prevodnik_oboru_Frascati.pdf">converter</a>)

    10101 - Pure mathematics

Completed project evaluation

  • Provider evaluation

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

  • Project results evaluation

    New significant results were obtained in all circles of problems proposed in the project. In particular, new results were obtained in the theory of orbits, joint numerical range of operators, reflexivity and positive-definite extensions of matrices.

Solution timeline

  • Realization period - beginning

    Jan 1, 2009

  • Realization period - end

    Dec 31, 2013

  • Project status

    U - Finished project

  • Latest support payment

    Feb 27, 2013

Data delivery to CEP

  • Confidentiality

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

  • Data delivery code

    CEP14-AV0-IA-U/01:1

  • Data delivery date

    Apr 14, 2014

Finance

  • Total approved costs

    1,280 thou. CZK

  • Public financial support

    1,280 thou. CZK

  • Other public sources

    0 thou. CZK

  • Non public and foreign sources

    0 thou. CZK