Видеотека: M. Joiţa, $\varphi$-maps on Hilbert $C^*$-modules, $\varphi$-module domains and ternary domains

ВИДЕОТЕКА


International Workshop "Hilbert $C^$-Modules Online Weekend" in memory of William L. Paschke (1946–2019)* 5 декабря 2020 г. 11:05, г. Москва, МГУ им. М. В. Ломоносова

$\varphi$-maps on Hilbert $C^$-modules, $\varphi$-module domains and ternary domains M. Joiţa University Politehnica of Bucharest, Romania*
Аннотация: For an operator-valued $\varphi$-map $\Phi$ on a Hilbert $C^$-module $X$ over a $C^$-algebra $A$; $X_\Phi = \{x\in X;\Phi(xa) = \Phi(x)\varphi(a) $ for all $ a\in A\}$ is its $\varphi$-module domain and $T_\Phi = \{x\in X;\Phi(y \langle x, z\rangle) = \Phi(y)\Phi(x)^* \Phi(z) $ for all $ y, z \in X\}$ is its ternary domain. In this talk we will discuss about some properties of $X_\Phi$ and $T_\Phi$. This is a joint work with M.B. Asadi and R. Behmani. Язык доклада: английский