4 citations · 4 across the 7 of their papers we have counts for
8 papers
Generalized amenability in quantum groups
Fouad Naderi, Yong Zhang
We study generalized amenability of locally compact quantum groups $\mathbb{G}=(\scr M, Δ, ϕ, ψ)$. Let and denote, respectively, the C*-algebra…
Weak* decomposition and Radon-Nikodym theorem for quantum expectations
Fouad Naderi
A quantum expectation is a positive linear functional of norm one on a non-commutative probability space (i.e., a C*-algebra). For a given pair of quantum expectations and …
Non-commutative Lebesgue decomposition of non-commutative measures
Fouad Naderi
A positive non-commutative (NC) measure is a positive linear functional on the free disk operator system which is generated by a -tuple of non-commuting isometries. By introduci…
A reproducing kernel approach to Lebesgue decomposition
Jashan Bal, Robert T. W. Martin, Fouad Naderi
We show that properties of pairs of finite, positive and regular Borel measures on the complex unit circle such as domination, absolute continuity and singularity can be completely…
An ultraproduct method via left reversible semigroups to study Bruck's generalized conjecture
Fouad Naderi
We use a method similar to ultraproducts to study the common fixed point of a left reversible semitopological semigroup acting on a Banach space. As an application, we prove a Bruc…
C*-algebraic approach to fixed point theory generalizes Baggett's theorem to groups with discrete reduced duals
Fouad Naderi
In this paper, we show that if the reduced Fourier-Stieltjes algebra of a second countable locally compact group has either weak* fixed point property or asymptotic ce…
How wrong intuitions about weak* topology and completions of a normed space pose serious problems
Fouad Naderi
We learn mathematics subjectively and must apply it objectively. But sometimes, we apply it subjectively by using wrong intuitions which may be elusive to our eyes. The aim of this…
A note on spaces of continuous functions on compact scattered spaces
Fouad Naderi
In 1959, Pelczynski and Semadeni proved a theorem in which they gave some equivalent conditions for a compact Hausdorff space to be scattered. The purpose of the current note is th…