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Clarke Jacobians, Bouligand Jacobians, and compact connected sets of matrices

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00559493" target="_blank" >RIV/67985840:_____/22:00559493 - isvavai.cz</a>

  • Alternative codes found

    RIV/47813059:19520/22:A0000286

  • Result on the web

    <a href="https://doi.org/10.1016/j.jmaa.2022.126491" target="_blank" >https://doi.org/10.1016/j.jmaa.2022.126491</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.jmaa.2022.126491" target="_blank" >10.1016/j.jmaa.2022.126491</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Clarke Jacobians, Bouligand Jacobians, and compact connected sets of matrices

  • Original language description

    Recent results on Clarke Jacobians obtained by D. Bartl and M. Fabian are extended to Bouligand Jacobians. In particular, we prove that every non-empty compact connected set of matrices can be expressed as the Bouligand Jacobian at the origin of a suitable Lipschitzian mapping which is moreover either countably piecewise affine or C∞-smooth off the origin. Given proofs are simpler and different from the previous ones.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2022

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Journal of Mathematical Analysis and Applications

  • ISSN

    0022-247X

  • e-ISSN

    1096-0813

  • Volume of the periodical

    516

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    5

  • Pages from-to

    126491

  • UT code for WoS article

    000911439700016

  • EID of the result in the Scopus database

    2-s2.0-85134222886