New class of operators where the distance between the identity operator and the generalized Jordan ∗-derivation range is maximal

A new class of operators, larger than ∗\ast -finite operators, named generalized ∗\ast -finite operators and noted by Gℱ∗(ℋ){{\mathcal{G {\mathcal F} }}}^{\ast }\left({\mathcal{ {\mathcal H} }}) is introduced, where: Gℱ∗(ℋ)={(A,B)∈ℬ(ℋ)×ℬ(ℋ):∥TA−BT∗−λI∥≥∣λ∣,∀λ∈C,∀T∈ℬ(ℋ)}.{{\mathcal{G {\mathcal F} }}}...

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Détails bibliographiques
Auteurs principaux: Messaoudene Hadia, Mesbah Nadia
Format: article
Langue:EN
Publié: De Gruyter 2021
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Accès en ligne:https://doaj.org/article/20f9be0886aa4fbcbf6da4add912de44
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