نتایج جستجو برای: automatic continuity

تعداد نتایج: 176244  

Journal: :Proceedings of the American Mathematical Society 2018

Journal: :Journal of the Institute of Mathematics of Jussieu 2017

Journal: :Monatshefte für Mathematik 2019

Journal: :Topology and its Applications 1997

Journal: :Bulletin of the Belgian Mathematical Society - Simon Stevin 2003

Journal: :Proceedings of the American Mathematical Society 1999

Journal: :Journal of Functional Analysis 1995

Journal: :Bulletin of the Belgian Mathematical Society - Simon Stevin 1996

For two algebras $A$ and $B$, a linear map $T:A longrightarrow B$ is called separating, if $xcdot y=0$ implies $Txcdot Ty=0$ for all $x,yin A$. The general form and the automatic continuity of separating maps between various Banach algebras have been studied extensively. In this paper, we first extend the notion of separating map for module case and then we give a description of a linear se...

Journal: :bulletin of the iranian mathematical society 0
t. ‎ghasemi honary‎ department of‎ ‎mathematics, ‎kharazmi university‎, ‎1561836314, tehran‎, ‎iran m. omidi department of‎ ‎mathematics, ‎kharazmi university‎, ‎1561836314, tehran‎, ‎iran a. h. sanatpour department of‎ ‎mathematics, ‎kharazmi university‎, ‎1561836314, tehran‎, ‎iran

for fr$acute{mathbf{text{e}}}$chet algebras $(a, (p_n))$ and $(b, (q_n))$, a linear map $t:arightarrow b$ is textit{almost multiplicative} with respect to $(p_n)$ and $(q_n)$, if there exists $varepsilongeq 0$ such that $q_n(tab - ta tb)leq varepsilon p_n(a) p_n(b),$ for all $n in mathbb{n}$, $a, b in a$, and it is called textit{weakly almost multiplicative} with respect to $(p_n)$ and $(q_n)$,...

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