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Topologies on Central Extensions of Von Neumann Algebras
Von Neumann Algebras Topologies Operator Algebras
2011/9/21
Abstract: Given a von Neumann algebra $M$ we consider the central extension $E(M)$ of $M.$ We introduce the topology $t_c(M)$ on $E(M)$ generated by a center-valued norm and prove that it coincides wi...
Jordanian double extensions of a quadratic vector space and symmetric Novikov algebras
Jordanian double extension 2-step nilpotent pseudo-Euclidean Jordan algebras
2011/2/28
First, we study pseudo-Euclidean Jordan algebras obtained as double extensions of a quadratic vector space by a one-dimensional algebra. We give an isomorphic characterization of 2-step nilpotent pseu...
Characterizations and Extensions of Lipschitz-$\alpha$ Operators
Characterization Extension Lipschitz-$\alpha$ operator
2007/12/12
In this work, we prove that a map $F$ from a compact metric space $K$ into a Banach space $X$ over ${\Bbb F}$ is a Lipschitz-$\alpha$ operator if and only if for each $\sigma$ in $X^*$ the map $\sigma...