نتایج جستجو برای: multiplier convergent series
تعداد نتایج: 381580 فیلتر نتایج به سال:
Let X,Y be locally convex spaces and L(X,Y ) the space of continuous linear operators from X into Y . We consider 2 types of multiplier convergent theorems for a series P Tk in L(X,Y ). First, if λ is a scalar sequence space, we say that the series P Tk is λ multiplier convergent for a locally convex topology τ on L(X,Y ) if the series P tkTk is τ convergent for every t = {tk} ∈ λ. We establish...
Let $X,Y$ be normed spaces with $L(X,Y)$ the space of continuous linear operators from $X$ into $Y$. If ${T_{j}}$ is a sequence in $L(X,Y)$, the (bounded) multiplier space for the series $sum T_{j}$ is defined to be [ M^{infty}(sum T_{j})={{x_{j}}in l^{infty}(X):sum_{j=1}^{infty}% T_{j}x_{j}text{ }converges} ] and the summing operator $S:M^{infty}(sum T_{j})rightarrow Y$ associat...
let $x,y$ be normed spaces with $l(x,y)$ the space of continuous linear operators from $x$ into $y$. if ${t_{j}}$ is a sequence in $l(x,y)$, the (bounded) multiplier space for the series $sum t_{j}$ is defined to be [ m^{infty}(sum t_{j})={{x_{j}}in l^{infty}(x):sum_{j=1}^{infty}% t_{j}x_{j}text{ }converges} ] and the summing operator $s:m^{infty}(sum t_{j})rightarrow y$ associat...
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