10 citations · 37 across the 34 of their papers we have counts for
41 papers
Further results on the -inverse, the outer inverse and the Moore-Penrose inverse in the Banach context
Enrico Boasso
In this article properties of the -inverse, the inverse along an element, the outer inverse with prescribed range and null space and the Moore-Penrose inve…
On the continuity and differentiability of the (dual) core inverse in C*-algebras
Julio Benítez, Enrico Boasso, Sanzhang Xu
The continuity of the core inverse and the dual core inverse is studied in the setting of C*-algebras. Later, this study is specialized to the case of bounded Hilbert space operato…
On one-sided (B,C)-inverses of arbitrary matrices
Julio Benitez, Enrico Boasso, Hongwei Jin
In this article one-sided (b, c)-inverses of arbitrary matrices as well as one-sided inverses along a (not necessarily square) matrix, will be studied. In adddition, the (b, c)-inv…
Joint spectra of the tensor product representation of the direct sum of two solvable Lie algebras
Enrico Boasso
Given two complex Banach spaces and , a tensor product of and in the sense of [14], two complex solvable finite dimensional Lie alge…
The -inverse in rings and in the Banach context
Enrico Boasso, Gabriel Kantun-Montiel
In this article the -inverse will be studied. Several equivalent conditions for the existence of the -inverse in rings will be given. In particular, the conditions e…
Tensor products and the semi-Browder joint spectra
Enrico Boasso
Given two complex Banach spaces and , a tensor product of and , , in the sense of J. Eschmeier ([5]), and two finite tuples of commutin…
On the joint spectral radius of a nilpotent Lie algebra of matrices
Enrico Boasso
For a complex nilpotent finite dimensional Lie algebra of matrices,and a Jordan-Hölder basis of it, we prove a spectral radius formula which extends a well-known result for commuti…
Joint spectrum for quasi-solvable Lie algebras of operators
Enrico Boasso
Given a complex Banach space and a joint spectrum for complex solvable finite dimensional Lie algebras of operators defined on , we extend this joint spectrum to quasi-solva…
On the joint spectra of the two dimensional Lie algebra of operators in Hilbert spaces
Enrico Boasso
We consider the complex solvable non-commutative two dimensional Lie algebra , , with Lie bracket , as linear bounded operators acting on a complex Hil…
Joint spectra and nilpotent Lie algebras of linear transformations
Enrico Boasso
Given a complex nilpotent finite dimensional Lie algebra of linear transformations , in a complex finite dimensional vector space , we study the joint spectra , $σ_{…
Tensor products and joint spectra for solvable Lie algebras of operators
Enrico Boasso
Given two complex Hilbert spaces, and , and two complex solvable finite dimensional Lie algebras of operators, and , such that acts on (i= 1,2), t…
On the spectral set of a solvable Lie algebra of operators
Enrico Boasso
Given a complex solvable finite dimensional Lie Algebra of operators acting on a Banach space and a Jordan-Hölder basis of , we study the relat…
Dual properties and joint spectra for solvable Lie algebras of operators
Enrico Boasso
Given a solvable Lie Algebra of operators acting on a Banach space , we study the action of the opposite algebra of , , on . Moreover, we extend Słodkowski joint…
The inverse along an element in rings with an involution, Banach algebras and -algebras
Julio Benitez, Enrico Boasso
Properties of the inverse along an element in rings with an involution, Banach algebras and -alegbras will be studied unifying known expressions concerning generalized inverse…
An addendum to: Analytically Riesz operators and Weyl and Browder type theorems
Enrico Boasso
In this note a characterization of anallytically Riesz operators is given. This work completes the article [1].
The inverse along an element in rings
Julio Benitez, Enrico Boasso
In this article several properties of the inverse along an element will be studied in the context of unitary rings. New characterizations of the existence of this inverse will be p…
A spectral theory for solvable Lie algebras of operators
Enrico Boasso, Angel Larotonda
The main objective of this paper is to develop a notion of joint spectrum for complex solvable Lie algebras of operators acting on a Banach space, which generalizes the Taylor join…
Factorizations of weighted EP Banach space operators and Banach algebra elements
Enrico Boasso, Dragan S. Djordjevic, Dijana Mosic
Weighted EP Banach space operators and Banach algebra elements are characterized using different kinds of factorizations. The results presented extend well-known characterizations…
Co-EP Banach Algebra Elements
Julio Benitez, Enrico Boasso, Vladimir Rakocevic
In this work, given a unital Banach algebra $\A$ and $a\in \A$ such that has a Moore-Penrose inverse , it will be characterized when is inve…
Generalized B-Fredholm Banach algebra elements
Milos D. Cvetkovic, Enrico Boasso, Snezana C. Zivkovic-Zlatanovic
Given a (not necessarily continuous) homomorphism between Banach algebras $\T\colon\A\to\B$, an element $a\in\A$ will be said to be B-Fredholm (respectively generalized B-Fredholm)…
On Cartan Joint Spectra
Enrico Boasso
In this work several results regarding the Cartan version of the Taylor, the Slodkowski, the Fredholm, the split and the Fredholm split joint spectra will be studied.
Joint spectra of representations of Lie algebras by compact operators
Enrico Boasso
Given a complex Banach space, a complex nilpotent finite dimensional Lie algebra, and , a representation of in such that for all $…
Regular Fredholm Pairs
Enrico Boasso
In this work it is introduced the notion of regular Fredholm pair, i.e. a Fredholm pair whose operators are regular. The main properties of these objects are studied, and what is m…
The Drazin spectrum of tensor product of Banach algebra elements and elementary operators
Enrico Boasso
Given unital Banach algebras and and elements and , the Drazin spectrun of will be fully characterized, where $A\over…