arXiv Analytics

Sign in

arXiv:math/9705211 [math.FA]AbstractReferencesReviewsResources

Reflexivity of the automorphism and isometry groups of some standard operator algebras

Lajos Molnar

Published 1997-05-30Version 1

In this paper we give an example of a proper standard C*-algebra (a proper C*-subalgebra of B(H) containing C(H)) whose automorphism and isometry groups are topologically reflexive. Furthermore, we prove that in the case of extensions of C(H) by separable commutative C*-algebras, these groups are algebraically reflexive. Concerning the most well-known extensions of C(H) by the algebra of all continuous complex valued functions on the perimeter of the unit disc, we show that the automorphism and isometry groups are topologically nonreflexive.

Categories: math.FA
Subjects: 47B49, 47D25, 46L40, 47B35
Related articles: Most relevant | Search more
arXiv:math/9706213 [math.FA] (Published 1997-06-11)
The automorphism and isometry groups of $l_\infty(N, B(H))$ are topologically reflexive
arXiv:math/9711208 [math.FA] (Published 1997-11-26)
Reflexivity of the automorphism and isometry groups of the suspension of $B(H)$
arXiv:2105.02107 [math.FA] (Published 2021-05-05)
The trifecta of Hilbert spaces on Unit Disc

Links

Toolbox