Lower bound and upper bound of operators on block weighted sequence spaces

Rahmatollah Lashkaripour; Gholomraza Talebi

Displaying similar documents to “Lower bound and upper bound of operators on block weighted sequence spaces”

Ultrafilter-limit points in metric dynamical systems

Salvador García-Ferreira, Manuel Sanchis (2007)

Commentationes Mathematicae Universitatis Carolinae

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Given a free ultrafilter $p$ on $ℕ$ and a space $X$ , we say that $x \in X$ is the $p$ -limit point of a sequence ${(x_{n})}_{n \in ℕ}$ in $X$ (in symbols, $x = p$ - ${lim}_{n \to \infty} x_{n}$ ) if for every neighborhood $V$ of $x$ , ${n \in ℕ : x_{n} \in V} \in p$ . By using $p$ -limit points from a suitable metric space, we characterize the selective ultrafilters on $ℕ$ and the $P$ -points of $ℕ^{*} = β (ℕ) ∖ ℕ$ . In this paper, we only consider dynamical systems $(X, f)$ , where $X$ is a compact metric space. For a free ultrafilter $p$ on $ℕ^{*}$ , the function $f^{p} : X \to X$ is defined by $f^{p} (x) = p$ - ${lim}_{n \to \infty} f^{n} (x)$ for each $x \in X$ . These functions are not continuous in general....

Embedding $c_{0}$ in $bvca (Σ, X)$

Juan Carlos Ferrando, L. M. Sánchez Ruiz (2007)

Czechoslovak Mathematical Journal

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If $(Ω, Σ)$ is a measurable space and $X$ a Banach space, we provide sufficient conditions on $Σ$ and $X$ in order to guarantee that $b v c a (Σ, X)$ , the Banach space of all $X$ -valued countably additive measures of bounded variation equipped with the variation norm, contains a copy of $c_{0}$ if and only if $X$ does.

On the composition of the integral and derivative operators of functional order

Silvia I. Hartzstein, Beatriz E. Viviani (2003)

Commentationes Mathematicae Universitatis Carolinae

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The Integral, $I_{φ}$ , and Derivative, $D_{φ}$ , operators of order $φ$ , with $φ$ a function of positive lower type and upper type less than $1$ , were defined in [HV2] in the setting of spaces of homogeneous-type. These definitions generalize those of the fractional integral and derivative operators of order $α$ , where $φ (t) = t^{α}$ , given in [GSV]. In this work we show that the composition $T_{φ} = D_{φ} \circ I_{φ}$ is a singular integral operator. This result in addition with the results obtained in [HV2] of boundedness of $I_{φ}$ and $D_{φ}$ or the...

Displaying similar documents to “Lower bound and upper bound of operators on block weighted sequence spaces”

Ultrafilter-limit points in metric dynamical systems

Embedding c 0 in bvca ( Σ , X )

On the composition of the integral and derivative operators of functional order

Embedding $c_{0}$ in $bvca (Σ, X)$