نتایج جستجو برای: banach module
تعداد نتایج: 82250 فیلتر نتایج به سال:
assume that $a$, $b$ are banach algebras and that $m:atimes brightarrow b$, $m^prime:atimes arightarrow b$ are bounded bilinear mappings. we study the relationships between arens regularity of $m$, $m^prime$ and the banach algebras $a$, $b$. for a banach $a$-bimodule $b$, we show that $b$ factors with respect to $a$ if and only if $b^{**}$ is unital as an $a^{**}$-module. le...
Let $A$ be a Banach ternary algebra over a scalar field $Bbb R$ or $Bbb C$ and $X$ be a ternary Banach $A$--module. Let $sigma,tau$ and $xi$ be linear mappings on $A$, a linear mapping $D:(A,[~]_A)to (X,[~]_X)$ is called a Lie ternary $(sigma,tau,xi)$--derivation, if $$D([a,b,c])=[[D(a)bc]_X]_{(sigma,tau,xi)}-[[D(c)ba]_X]_{(sigma,tau,xi)}$$ for all $a,b,cin A$, where $[abc]_{(sigma,tau,xi)}=ata...
We first study some properties of $A$-module homomorphisms $theta:Xrightarrow Y$, where $X$ and $Y$ are Fréchet $A$-modules and $A$ is a unital Fréchet algebra. Then we show that if there exists a continued bisection of the identity for $A$, then $theta$ is automatically continuous under certain condition on $X$. In particular, every homomorphism from $A$ into certain Fr...
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