Abstract. The aim of this paper is to show that the automorphism and isometry groups of the infinite direct sum $\ell_\infty({\msbm N}, {\cal B}({\cal H}))$ of operator algebras are topologically reflexive which, as one of our former results shows, is not the case with the ``scalar algebra" $\ell_\infty $.
AMS Subject Classification
(1991): 47B49, 46L40, 47D25 54D35
Keyword(s):
Reflexivity,
automorphism group,
isometry group,
operator algebra,
Stone-Čech compactification
Received October 13, 1997 and in revised form March 16, 1998. (Registered under 3315/2009.)
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