Zobrazeno 1 - 10
of 10
pro vyhledávání: '"El Hassan Benabdi"'
Publikováno v:
Proyecciones (Antofagasta). 41:643-661
In this paper, we prove a further generalized refinement of the weighted arithmetic-geometric mean inequality. As application, we show a new refinement of the generalized classical Hölder’s inequality and we give refinements to several inequalitie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::39bc2385f51ff0119311d763cb5047c7
https://doi.org/10.22199/issn.0717-6279-4538
https://doi.org/10.22199/issn.0717-6279-4538
Publikováno v:
Linear and Multilinear Algebra. 70:7599-7610
In this paper, we prove that for a right linear bounded operator on a quaternionic Hilbert space, the norm and the numerical radius are equal if and only if the norm and the spectral radius are equ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d7b478c01c9722bf9cd4edde6bc64a15
https://doi.org/10.1080/03081087.2021.1999382
https://doi.org/10.1080/03081087.2021.1999382
Publikováno v:
Linear and Multilinear Algebra. 70:6523-6534
Let A be a C∗-algebra with unit I and let S(A) be the state space of A. Let A∈A, an element f∈S(A) is said to be maximal for A if f(A∗A)=‖A‖2. Denote the set of all maximal states for A by Smax(A) ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5667a3b294eae0eb6a112ca0f4cdb16e
https://doi.org/10.1080/03081087.2021.1959888
https://doi.org/10.1080/03081087.2021.1959888
Autor:
El Hassan Benabdi, Mohamed Barraa
Publikováno v:
Moroccan Journal of Pure and Applied Analysis. 7:461-469
In the present paper, we study the Jacobson’s Lemma in the unital ring of all bounded right linear operators ℬ R (X) acting on a two-sided quaternionic Banach space X. In particular, let A, B ∈ ℬ R (X) and let q ∈ ℍ \ {0}, we prove that w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7571509ea2abeec49985ded0fd713883
https://doi.org/10.2478/mjpaa-2021-0031
https://doi.org/10.2478/mjpaa-2021-0031
Publikováno v:
Operators and Matrices. :1477-1487
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a3ed4d04fb5b17d79cf4a882a491e632
https://doi.org/10.7153/oam-2021-15-93
https://doi.org/10.7153/oam-2021-15-93
Publikováno v:
Mathematical Inequalities & Applications. :1079-1085
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fe50d59fe1bde66c169fac9de6b07411
https://doi.org/10.7153/mia-2020-23-82
https://doi.org/10.7153/mia-2020-23-82
Autor:
El Hassan Benabdi, Mohamed Barraa
Publikováno v:
Journal of Mathematical Analysis and Applications. 478:1163-1171
Let A be a unital complex Banach algebra and p, q be two idempotents in A . In this paper, we prove that the Drazin (resp. generalized Drazin) invertibility of α p + β q − γ p q is independent of the choice of scalars α , β ∈ C ∖ { 0 } and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::49ee463ad34da53d2f95725fa5e83780
https://doi.org/10.1016/j.jmaa.2019.06.008
https://doi.org/10.1016/j.jmaa.2019.06.008
Publikováno v:
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 115
In this work, we give further refinements of one of the most important extensions to Young’s inequalities due to Alzer–Fonseca–Kovacec (Linear Multilinear Algebra 63(3):622–635, 2015). As applications, we show some related inequalities for op
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6f98429622287a446a00634770eefacb
https://doi.org/10.1007/s13398-021-01093-5
https://doi.org/10.1007/s13398-021-01093-5
Publikováno v:
Advances in Operator Theory. 6
Let $${\mathcal {A}}$$ be a unital complex Banach algebra and let $$p,q\in {\mathcal {A}}$$ be two idempotents. In this paper, we study the relationships between different spectra of pq and those of $$\alpha p+\beta q-\gamma pq$$ , where $$\alpha ,\b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8a44e69305995e02e8c5041af6f7eb5d
https://doi.org/10.1007/s43036-020-00107-0
https://doi.org/10.1007/s43036-020-00107-0
Autor:
El Hassan Benabdi, Mohamed Barraa
Publikováno v:
Linear and Multilinear Algebra. 68:983-990
Let p and q be idempotent elements in a complex unital algebra and let μ , ν ∈ C ∖ { 0 } , ξ ∈ C . In the present note we will prove that μ p + ν q − ξ p q is equivalent to p+q (resp. p−q) if μ + ν...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0e812acaf01f6df8386d5193ed972ae8
https://doi.org/10.1080/03081087.2018.1523864
https://doi.org/10.1080/03081087.2018.1523864