10 citations · 37 across the 34 of their papers we have counts for
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Moore-Penrose inverse and doubly commuting elements in -algebras
Enrico Boasso
In this work it is proved that the Moore-Penrose inverse of the product of -doubly commuting regular -algebra elements obeys the so-called reverse order law. Conversely, co…
The Drazin spectrum in Banach algebras
Enrico Boasso
Several basic properties of the Drazin spectrum in Banach algebras will be studied. As an application, some results on meromorphic Banach space operators will be obtained.
Further results on regular Fredholm pairs and chains
Enrico Boasso
The main objective of the present article is to characterize regular Fredholm pairs and chains in terms of Fredholm operators.
On the Moore-Penrose inverse in -algebras
Enrico Boasso
In this article, two results regarding the Moore-Penrose inverse in the frame of -algebras are considered. In first place, a characterization of the so-called reverse order la…
On the Moore-Penrose inverse, EP Banach space operators and EP Banach algebra elements
Enrico Boasso
The main concern of this note is the Moore-Penrose inverse in the context of Banach spaces and algebras. Especially attention will be given to a particular class of elements with t…
Drazin spectra of Banach space operators and Banach algebra elements
Enrico Boasso
Given a Banach Algebra and , several relations among the Drazin spectrum of and the Drazin spectra of the multiplication operators and will be stated. T…
Generalized Browder's and Weyl's theorems for left and right multiplication operators
Enrico Boasso, B. P. Duggal, I. H. Jeon
The main objective of this work is to study generalized Browder's and Weyl's theorems for the multiplication operators and and for the elementary operator $τ_{A,B}=L_AR…
Generalized Browder's theorem for tensor product and elementary operators
Enrico Boasso, B. P. Duggal
The transfer property for the generalized Browder's theorem both of the tensor product and of the left-right multiplication operator will be characterized in terms of the -Weyl…
Characterizations of EP and normal Banach algebra elements and Banach space operators
Enrico Boasso, Vladimir Rakočević
Several characterizations of EP and normal Moore-Penrose invertible Banach algebra elements will be considered. The Banach space operator case will be also studied. The results of…
Factorizations of EP Banach space operators and EP Banach algebra elements
Enrico Boasso
EP Banach space operators and EP Banach algebra elements are characterized using different kinds of factorizations. The results obtained generalize well-known characterizations of…
Generalized Browder's and Weyl's Theorems for Generalized Derivations
Enrico Boasso, Mohamed Amouch
Given Banach spaces $\X$ and $\Y$ and Banach space operators $A\in L(\X)$ and $B\in L(\Y)$, let $ρ\colon L(\Y,\X)\to L(\Y,\X)$ denote the generalized derivation defined by and…