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
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Czech description
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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