A. Nasseri

activity

20102026

most citedThe Spectrum of Operators on C(K) with the Grothendieck Property and Characterization of J-Class Operators which are adjoints

2 citations · 2 across the 6 of their papers we have counts for

collaborators

7 papers

math.FA2026

The Rademacher quotient of $L^{1}$ embeds into $L^{1}$ and its weak Calkin algebra is uniformly incompressible

Amir Bahman Nasseri

Let $R$ be the closed linear span of the Rademacher functions in $L^{1} (0, 1)$ . We prove that $L^{1} (0, 1) / R$ embeds isomorphically into $L^{1} (0, 1)$ , answering affirmatively a question of…

math.FA2026

Large ideals in B(L1(0,1))

Amir Bahman Nasseri

We show that the norm-closed linear span of products of two Dunford-Pettis operators on $L^{1} (0, 1)$ lies strictly between the representable and the Dunford-Pettis operators. This gi…

math.FA2025

Quantifying (non-)weak compactness of operators on $A L$ - and $C (K)$ -spaces

Antonio Acuaviva, Amir Bahman Nasseri

We study the representation of non-weakly compact operators between $A L$ -spaces. In this setting, we show that every operator admits a best approximant in the ideal of weakly compa…

math.FA2014

Injective Tauberian operators on $L_{1}$ and operators with dense range on $ℓ_{\infty}$

William B. Johnson, Amir Bahman Nasseri, Gideon Schechtman +1

There exist injective Tauberian operators on $L_{1} (0, 1)$ that have dense, non closed range. This gives injective, non surjective operators on $ℓ_{\infty}$ that have dense range. Co…

math.SP2014★ 2 cited

The Spectrum of Operators on C(K) with the Grothendieck Property and Characterization of J-Class Operators which are adjoints

Amir Bahman Nasseri

This article deals with properties of spectra of operators on C(K)-spaces with the Grothendieck property (e.g. l^{\infty}) and application to so called J-class operators introduced…

math.FA2013

Dynamics of perturbations of the identity operator by multiples of the backward shift on $l^{\infty} (N)$

George Costakis, Antonios Manoussos, Amir Bahman Nasseri

Let $B$ , $I$ be the unweighted backward shift and the identity operator respectively on $l^{\infty} (N)$ , the space of bounded sequences over the complex numbers endowed wi…

math.FA2010

On the existence of J-class operators

Amir Nasseri

In this note we answer in the negative the question raised by G.Costakis and A.Manoussos, whether there exists a J-class operator on every non-separable Banach space. In par- ticul…

The Rademacher quotient of L1 embeds into L1 and its weak Calkin algebra is uniformly incompressible

Large ideals in B(L1(0,1))

Quantifying (non-)weak compactness of operators on AL- and C(K)-spaces

Injective Tauberian operators on L1​ and operators with dense range on ℓ∞​

The Spectrum of Operators on C(K) with the Grothendieck Property and Characterization of J-Class Operators which are adjoints

Dynamics of perturbations of the identity operator by multiples of the backward shift on l∞(N)

On the existence of J-class operators

The Rademacher quotient of $L^{1}$ embeds into $L^{1}$ and its weak Calkin algebra is uniformly incompressible

Quantifying (non-)weak compactness of operators on $A L$ - and $C (K)$ -spaces

Injective Tauberian operators on $L_{1}$ and operators with dense range on $ℓ_{\infty}$

Dynamics of perturbations of the identity operator by multiples of the backward shift on $l^{\infty} (N)$