In this note, we study the normed of a linear mapping T from a linear

subspace D (T) of a normed space A into A, and obtain some results on the closability

of densely defined derivations in normed algebras. ...

in this paper .....

We develop the method introduced previously, to construct infinitesimal generators on locally compact group C *-algebras and on tensor product of C *-algebras. It is shown in particular that there is a C * -algebra A such ...

In this note we show that any derivation of a simple C*-algebra,

whose range is not dense, is closable. We also derive a necessary and sufficient condition

for a *-derivation of a C*-algebra, which is defined ...

A Norm Inequality for Chebyshev Centres

Let A be a finito von Neumann algebra and r bo an element of A, then

the element r can bo decomposed as n: ulrl, winerc l*l : (r* t\\\\z

and z is a unitary element of A.

s. ota proved that if δ is a closed *-derivation