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

H Messaoudene, N Mesbah - Demonstratio Mathematica, 2021 - degruyter.com
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∗− λ …

Some results on generalized finite operators and range kernel orthogonality in Hilbert spaces

N Mesbah, H Messaoudene, A Alharbi - Demonstratio Mathematica, 2021 - degruyter.com
Let ℋ be a complex Hilbert space and ℬ (ℋ) denotes the algebra of all bounded linear
operators acting on ℋ. In this paper, we present some new pairs of generalized finite …

Orthogonality Of Finite Operators In Normed Spaces

O Moraa - 2022 - repository.kisiiuniversity.ac.ke
Orthogonality of operators in Hilbert spaces is a notion that has been studied for a duration
of some time by many mathematicians such as Oleche, Okelo, Agure and many others …

D-hyponormal and D-quasi-hyponormal Operators

N Mesbah, H Messaoudene - … in Mathematics and …, 2022 - search.proquest.com
D-hyponormal and D-quasi-hyponormal Operators Page 1 Communications in Mathematics
and Applications Vol. 13, No. 3, pp. 1097–1107, 2022 ISSN 0975-8607 (online); 0976-5905 …

Étude de la classe des opérateurs finis

A Khettou, A Hamidane - 2020 - dspace.univ-tebessa.dz
Soit H un espace de Hilbert complexe de dimension inÖnie sÈparable et B (H) líalgËbre des
opÈrateurs linÈaires bornÈs dÈÖnis et‡ valeurs dans H. Líobjectif principal de ce travail est …

[引用][C] Étude de la finitude des opérateurs dans un espace de Hilbert de dimension infinie

N MESBAH - 2022