Semigroups affiliated with algebras of operators
Soit un opérateur compact dans une algèbre de Von Neumann. On montre que le sous-espace sup ker est relativement fini.
The aim of this paper is to start a systematic investigation of the existence of angular limits and angular derivatives of holomorphic maps of infinite dimensional Siegel domains in -algebras. Since -algebras are natural generalizations of -algebras, -algebras, -algebras, ternary algebras and complex Hilbert spaces, various significant results follow. Examples are given.
We show that the von Neumann algebras generated by an infinite number of t-deformed free gaussian operators are factors of type .
In this paper, we generalize the concept of -multipliers on Banach algebras to a class of topological algebras. Then the characterizations of -multipliers are investigated in these algebras.