6 citations · 8 across the 6 of their papers we have counts for
7 papers
Jordan product commuting maps with -Aluthge transform
F Chabbabi, M Mbekhta
Let H and K be two complex Hilbert spaces and B(H) be the algebra of bounded linear operators from H into itself. The main purpose in this paper is to obtain a characterization of…
New formulas for the spectral radius via Aluthge transform
Fadil Chabbabi, Mostafa Mbekhta
In this paper we give several expressions of spectral radius of a bounded operator on a Hilbert space, in terms of iterates of Aluthge transformation, numerical radius and the asym…
Partial isometries and the conjecture of C. K. Fong and S. K. Tsui
Mostafa Mbekhta, Laurian Suciu
We investigate some bounded linear operators T on a Hilbert space which satisfy the condition |T | less or equal to |ReT |. We describe the maximum invariant subspace for a contrac…
Local and global liftings of analytic families of idempotents in Banach algebras
Bernard Aupetit, Endre Makai, Mostafa Mbekhta +1
Generalizing results of our earlier paper, we investigate the following question. Let be an analytic family of surjective homomorphisms between two Banach algebras…
Metric and homogeneous structure of closed range operators
Gustavo Corach, Alejandra Maestripieri, Mostafa Mbekhta
Let $\CR$ be the set of all bounded linear operators between Hilbert spaces $\cH, \cK$. This paper is devoted to the study of the topological properties of $\CR$ if certain natural…
The stability radius of linear operator pencils
C. Badea, M. Mbekhta
Let T and S be two bounded linear operators from Banach spaces X into Y and suppose that T is Fredholm and the stability number k(T;S) is 0. Let d(T;S) be the supremum of all r > 0…