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20172026
most citedA reproducing kernel approach to Lebesgue decomposition

4 citations · 4 across the 7 of their papers we have counts for

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math.FA2024★ 4 cited

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…

math.FA2017

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…

math.FA2017

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…

math.FA2017

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…

math.FA2017

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…