Ryoichi Kunisada

activity

20152023

collaborators

9 papers

math.FA2023

On Almost convergence on the real line and its application to bounded analytic functions

Ryoichi Kunisada

We address the study of topologically invariant means and almost convergence on the real numbers $R$ . Here, the former is a certain class of invariant means on $L^{\infty}…

math.FA2023

On almost convergence on locally compact abelian groups

Ryoichi Kunisada

We study a summability method called almost convergence for bounded measurable functions defined on a locally compact abelian group. We define almost convergence using topologicall…

math.FA2020

Convolution invariant linear functionals and applications to summability methods

Ryoichi Kunisada

We study topologically invariant means on $L^{\infty} (R)$ , the set of all essentially bounded functions on the real line, and prove that invariance with respect to a singl…

math.FA2019

On additive property of finitely additive measures

Ryoichi Kunisada

By the additive property, we mean a condition under which $L^{p}$ spaces over finitely additive measures are complete. Basile and Rao gives a necessary and sufficient condition that…

math.FA2017

Summability methods and Fourier analysis on $R^{\times}$

Ryoichi Kunisada

We introduce a certain class of summability methods on $L^{\infty} ([1, \infty))$ which is defined by convolution in the group algebra $L^{1} (R^{\times})$ . This class contain…

math.FA2017

Invariant linear functionals on $L^{\infty} (R_{+})$

Ryoichi Kunisada

We consider a continuous version of the classical notion of Banach limits, namely, positive linear functionals on $L^{\infty} (R_{+})$ invariant under translations $f(x) \map…

math.FA2017

Functional analytic approach to Cesàro mean

Ryoichi Kunisada

We study a certain class $P$ of positive linear functionals $φ$ on $L^{\infty} ([1, \infty))$ for which $φ (f) = α$ if $lim_{x \to \infty} \frac{1}{x} \int_{1}^{x} f (t) d t = α$ .…

math.NT2016

Density measures on a certain flow

Ryoichi Kunisada

We study finitely additive extensions of the asymptotic density to all the subsets of natural numbers. Such measures are called density measures. We consider a class of density mea…

math.NT2015

Density measures and additive property

Ryoichi Kunisada

We deal with finitely additive measures defined on all subsets of natural numbers which extend the asymptotic density (density measures). We consider a class of density measures wh…

On Almost convergence on the real line and its application to bounded analytic functions

On almost convergence on locally compact abelian groups

Convolution invariant linear functionals and applications to summability methods

On additive property of finitely additive measures

Summability methods and Fourier analysis on R×

Invariant linear functionals on L∞(R+​)

Functional analytic approach to Cesàro mean

Density measures on a certain flow

Density measures and additive property

Summability methods and Fourier analysis on $R^{\times}$

Invariant linear functionals on $L^{\infty} (R_{+})$