Ryoichi Kunisada

activity

20172020

collaborators

5 papers

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 $lim_{x \to \infty} \frac{1}{x} \int_{1}^{x} f (t) d t = α$ .…

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

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

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