On isomorphisms of group algebras

Isomorphisms in unital $C^*$-algebras

It is shown that every  almost linear bijection $h : Arightarrow B$ of a unital $C^*$-algebra $A$ onto a unital$C^*$-algebra $B$ is a $C^*$-algebra isomorphism when $h(3^n u y) = h(3^n u) h(y)$ for allunitaries  $u in A$, all $y in A$, and all $nin mathbb Z$, andthat almost linear continuous bijection $h : A rightarrow B$ of aunital $C^*$-algebra $A$ of real rank zero onto a unital$C^*$-algebra...

On Isomorphisms of Standard Operator Algebras

The aim of this paper is to show that between standard operator algebras every bijective map with a certain multiplicativity property related to the Jordan triple isomorphisms of associative rings is automatically additive.

the structure of lie derivations on c*-algebras

نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.

Isometric Isomorphisms of Measure Algebras

Note on the Group of Isomorphisms*

LET SV a2, ••', sg represent all the operators of a group G and let tasa correspond to sa (a = 1, 2, •••, g) in any given simple isomorphism of G with itself. I t is evident that ta is some operator of G. When G is abelian these £a's must constitute a group T which is isomorphic with (?.* In this isomorphism, ta evidently can not be the inverse of sa unless sa = 1. As this condition is sufficie...