On hyponormal operators in Krein spaces

@article{Esmeral2019,
abstract = {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 $T$.},
author = {Esmeral, Kevin, Ferrer, Osmin, Jalk, Jorge, Lora Castro, Boris},
journal = {Archivum Mathematicum},
keywords = {Hyponormal operators; Krein spaces; $J$-hyponormal operators},
language = {eng},
number = {4},
pages = {249-259},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On hyponormal operators in Krein spaces},
url = {http://eudml.org/doc/294398},
volume = {055},
year = {2019},
}

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
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 055
IS - 4
SP - 249
EP - 259
AB - 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 $T$.
LA - eng
KW - Hyponormal operators; Krein spaces; $J$-hyponormal operators
UR - http://eudml.org/doc/294398
ER -