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

• Autorzy: Messaoudene, Hadia , Mesbah, Nadia
• Języki publikacji: EN

Abstrakty

EN

A new class of operators, larger than ∗ -finite operators, named generalized ∗ -finite operators and noted by GF∗ (H) is introduced, where: GF∗ (H) = {(A, B) ∈ B(H) × B(H) : ∥TA - BT∗ - λI∥ ≥ ∣λ∣, ∀λ ∈ C, ∀T ∈ B(H)}. Basic properties are given. Some examples are also presented.

Słowa kluczowe

PL

operatory skończone; pochodne Jordana

EN

∗-finite operator; numerical range; generalized Jordan ∗-derivation; finite operator; paranormal operators

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2021
• Tom: Vol. 54, nr 1
• Strony: 311--317
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

Messaoudene, Hadia

• Faculty of Economics Sciences and Management, Laboratory of Mathematics, Informatics and Systems (LAMIS), Larbi Tebessi University, Tebessa, Algeria ,

autor

Mesbah, Nadia

• Department of Mathematics and Computer Science, Laboratory of Mathematics, Informatics and Systems (LAMIS), Larbi Tebessi University, Tebessa, Algeria,

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).

Identyfikatory

DOI

10.1515/dema-2021-0032