We study (von Neumann) regular ^*-subalgebras of B(H), which we call R ^*-algebras. The
class of R ^*-algebras coincides with that of “E ^*-algebras that are pre-C ^*-algebras” in the …

We introduce the concept of $ E^* $-algebras in the context of representable extensions of
positive functionals, and we show that the class of $ E^* $-algebras coincides with the class …

We introduce noncommutative JB*-algebras which generalize both B*-algebras and JB*-
algebras and set up the bases for a representation theory of noncommutative JB*-algebras …

Extensive development of noncommutative geometry requires elaboration of the theory of
differential Banach*-algebras, that is, dense*-subalgebras of C*-algebras whose properties …

This book treats:-spectral theory of Banach*-algebras,-basic representation theory of
normed*-algebras,-spectral theory of representations of commutative*-algebras. A novel …

Concerning entire functions in B_0-algebras × Close The Infona portal uses cookies, ie strings
of text saved by a browser on the user's device. The portal can access those files and use them …

Basic definitions and results for operator algebras Page 166 Contemporary Mathematics
Contemporary Mathematics Volume 534, 2011 APPENDIX: BASIC DEFINITIONS AND …

(ii) Define C7/by (Gf)x=G(f<>x); GfeA*. Page 1 PROCEEDINGS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 31, No. 2, February 1972 MULTIPLIER OPERATORS ON …

COMMUTATIVITY CRITERIA FOR BANACH ∗-ALGEBRAS 1. Introduction This paper deals
with a Banach -algebra A with an identity. The p Page 1 PROCEEDINGS OF THE …

AC*-algebra is often thought of as the non-commutative generalization of a C (K)-space, ie
the space of continuous functions on some locally compact Hausdorff space, vanishing at …