Geodesic
On hyponormal operators in Krein spaces
Archivum mathematicum, Tome 55 (2019) no. 4, pp. 249-259.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In this paper the hyponormal operators on Krein spaces are introduced. We state conditions for the hyponormality of bounded operators focusing, in particular, on those operators $T$ for which there exists a fundamental decomposition $\mathbb{K}= \mathbb{K}^{+} \oplus \mathbb{K}^{-}$ of the Krein space $\mathbb{K}$ with $\mathbb{K}^{+}$ and $\mathbb{K}^{-}$ invariant under $T$.
DOI : 10.5817/AM2019-4-249
Classification : 46C20, 47B50
Keywords: Hyponormal operators; Krein spaces; $J$-hyponormal operators 
@article{10_5817_AM2019_4_249,
     author = {Esmeral, Kevin and Ferrer, Osmin and Jalk, Jorge and Lora Castro, Boris},
     title = {On hyponormal operators in {Krein} spaces},
     journal = {Archivum mathematicum},
     pages = {249--259},
     publisher = {mathdoc},
     volume = {55},
     number = {4},
     year = {2019},
     doi = {10.5817/AM2019-4-249},
     mrnumber = {4038360},
     zbl = {07144740},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2019-4-249/}
}
TY  - JOUR
AU  - Esmeral, Kevin
AU  - Ferrer, Osmin
AU  - Jalk, Jorge
AU  - Lora Castro, Boris
TI  - On hyponormal operators in Krein spaces
JO  - Archivum mathematicum
PY  - 2019
SP  - 249
EP  - 259
VL  - 55
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.5817/AM2019-4-249/
DO  - 10.5817/AM2019-4-249
LA  - en
ID  - 10_5817_AM2019_4_249
ER  - 
%0 Journal Article
%A Esmeral, Kevin
%A Ferrer, Osmin
%A Jalk, Jorge
%A Lora Castro, Boris
%T On hyponormal operators in Krein spaces
%J Archivum mathematicum
%D 2019
%P 249-259
%V 55
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.5817/AM2019-4-249/
%R 10.5817/AM2019-4-249
%G en
%F 10_5817_AM2019_4_249
Esmeral, Kevin; Ferrer, Osmin; Jalk, Jorge; Lora Castro, Boris. On hyponormal operators in Krein spaces. Archivum mathematicum, Tome 55 (2019) no. 4, pp. 249-259. doi : 10.5817/AM2019-4-249. http://geodesic.mathdoc.fr/articles/10.5817/AM2019-4-249/

Cité par Sources :