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

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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 
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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

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