Enrico Boasso

activity

20132017

most citedThe inverse along an element in rings with an involution, Banach algebras and

C^{*}

-algebras

10 citations · 37 across the 34 of their papers we have counts for

collaborators

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34 papers · 1 filter

math.FA2017

Further results on the $(b, c)$ -inverse, the outer inverse $A_{T, S}^{(2)}$ and the Moore-Penrose inverse in the Banach context

Enrico Boasso

In this article properties of the $(b, c)$ -inverse, the inverse along an element, the outer inverse with prescribed range and null space $A_{T, S}^{(2)}$ and the Moore-Penrose inve…

math.FA2016

Joint spectra of the tensor product representation of the direct sum of two solvable Lie algebras

Enrico Boasso

Given two complex Banach spaces $X_{1}$ and $X_{2}$ , a tensor product $X_{1} \otimes ~ X_{2}$ of $X_{1}$ and $X_{2}$ in the sense of [14], two complex solvable finite dimensional Lie alge…

math.FA2016★ 7 cited

Tensor products and the semi-Browder joint spectra

Enrico Boasso

Given two complex Banach spaces $X_{1}$ and $X_{2}$ , a tensor product of $X_{1}$ and $X_{2}$ , $X_{1} \otimes ~ X_{2}$ , in the sense of J. Eschmeier ([5]), and two finite tuples of commutin…

math.FA2016

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…

math.FA2016

Joint spectrum for quasi-solvable Lie algebras of operators

Enrico Boasso

Given a complex Banach space $X$ and a joint spectrum for complex solvable finite dimensional Lie algebras of operators defined on $X$ , we extend this joint spectrum to quasi-solva…

math.FA2016

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 $L$ , $L =< y > \oplus < x >$ , with Lie bracket $[x, y] = y$ , as linear bounded operators acting on a complex Hil…

math.FA2016

Joint spectra and nilpotent Lie algebras of linear transformations

Enrico Boasso

Given a complex nilpotent finite dimensional Lie algebra of linear transformations $L$ , in a complex finite dimensional vector space $E$ , we study the joint spectra $S p (L, E)$ , $σ_{…

math.FA2016★ 2 cited

Tensor products and joint spectra for solvable Lie algebras of operators

Enrico Boasso

Given two complex Hilbert spaces, $H_{1}$ and $H_{2}$ , and two complex solvable finite dimensional Lie algebras of operators, $L_{1}$ and $L_{2}$ , such that $L_{i}$ acts on $H_{i}$ (i= 1,2), t…

math.FA2015

On the spectral set of a solvable Lie algebra of operators

Enrico Boasso

Given $L$ a complex solvable finite dimensional Lie Algebra of operators acting on a Banach space $E$ and ${x_{i}}_{1 \leq i \leq n}$ a Jordan-Hölder basis of $L$ , we study the relat…

math.FA2015★ 10 cited

Dual properties and joint spectra for solvable Lie algebras of operators

Enrico Boasso

Given $L$ a solvable Lie Algebra of operators acting on a Banach space $E$ , we study the action of the opposite algebra of $L$ , $L^{'}$ , on $E^{*}$ . Moreover, we extend Słodkowski joint…

math.FA2015★ 10 cited

The inverse along an element in rings with an involution, Banach algebras and $C^{*}$ -algebras

Julio Benitez, Enrico Boasso

Properties of the inverse along an element in rings with an involution, Banach algebras and $C^{*}$ -alegbras will be studied unifying known expressions concerning generalized inverse…

math.FA2015

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].

math.FA2015

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…

math.FA2015

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…

math.FA2015

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 $a$ has a Moore-Penrose inverse $a^{†}$ , it will be characterized when $a a^{†} - a^{†} a$ is inve…

math.FA2015

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)…

math.FA2014

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.

math.FA2014

Joint spectra of representations of Lie algebras by compact operators

Enrico Boasso

Given $X$ a complex Banach space, $L$ a complex nilpotent finite dimensional Lie algebra, and $ρ : L \to L (X)$ , a representation of $L$ in $X$ such that $ρ (l) \in K (X)$ for all $…

math.FA2014★ 1 cited

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…

math.FA2014

The Drazin spectrum of tensor product of Banach algebra elements and elementary operators

Enrico Boasso

Given unital Banach algebras $A$ and $B$ and elements $a \in A$ and $b \in B$ , the Drazin spectrun of $a \otimes b \in A \otimes B$ will be fully characterized, where $A\over…

math.FA2014

Characterizations of Fredholm pairs and chains in Hilbert spaces

Enrico Boasso

In this work characterizations of Fredholm pairs and chains of Hilbert space operators are given. Following a well-known idea of several variable operator theory in Hilbert spaces,…

math.FA2014

Isolated spectral points and Koliha-Drazin invertible elements in quotient Banach algebras and homomorphism ranges

Enrico Boasso

In this article poles, isolated spectral points, group, Drazin and Koliha-Drazin invertible elements in the context of quotient Banach algebras or in ranges of (not necessarily con…

math.FA2014★ 1 cited

Tensor product of left polaroid operators

Enrico Boasso, B. P. Duggal

A Banach space operator $T \in B (X)$ is left polaroid if for each $λ \in iso σ_{a} (T)$ there is an integer $d (λ)$ such that asc $(T - λ) = d (λ) < \infty$ and $(T - λ)^{d (λ) + 1} X$ is closed…

math.FA2014

Property (gw) for tensor product and left-right multiplication operators

Enrico Boasso, B. P. Duggal

Given Banach spaces $X$ and $Y$ and operators $A \in B (X)$ and $B \in B (Y)$ , property $(g w)$ does not in general transfer from $A$ and $B$ to the tensor product operator $A\otimes B\…

Further results on the (b,c)-inverse, the outer inverse AT,S(2)​ and the Moore-Penrose inverse in the Banach context

Joint spectra of the tensor product representation of the direct sum of two solvable Lie algebras

Tensor products and the semi-Browder joint spectra

On the joint spectral radius of a nilpotent Lie algebra of matrices

Joint spectrum for quasi-solvable Lie algebras of operators

On the joint spectra of the two dimensional Lie algebra of operators in Hilbert spaces

Joint spectra and nilpotent Lie algebras of linear transformations

Tensor products and joint spectra for solvable Lie algebras of operators

On the spectral set of a solvable Lie algebra of operators

Dual properties and joint spectra for solvable Lie algebras of operators

The inverse along an element in rings with an involution, Banach algebras and C∗-algebras

An addendum to: Analytically Riesz operators and Weyl and Browder type theorems

A spectral theory for solvable Lie algebras of operators

Factorizations of weighted EP Banach space operators and Banach algebra elements

Co-EP Banach Algebra Elements

Generalized B-Fredholm Banach algebra elements

On Cartan Joint Spectra

Joint spectra of representations of Lie algebras by compact operators

Regular Fredholm Pairs

The Drazin spectrum of tensor product of Banach algebra elements and elementary operators

Characterizations of Fredholm pairs and chains in Hilbert spaces

Isolated spectral points and Koliha-Drazin invertible elements in quotient Banach algebras and homomorphism ranges

Tensor product of left polaroid operators

Property (gw) for tensor product and left-right multiplication operators

Further results on the $(b, c)$ -inverse, the outer inverse $A_{T, S}^{(2)}$ and the Moore-Penrose inverse in the Banach context

The inverse along an element in rings with an involution, Banach algebras and $C^{*}$ -algebras