Daniele Puglisi
Department of Mathematics and Computer Sciences
University of Catania
Viale Andrea Doria, 6
I-95125 Catania CT
Office: 346
Office phone: ++39 095 7383055
Fax: ++39 095 330094
E-mail: dpuglisiunict.it
Research
In
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J. Diestel, A. Peralta, D. Puglisi; Sequential w-right continuity and summing operators.
Math. Nach., 284, No. 5-6, (2011) 664-680.
among others things, the authors study the strong*-norm continuity of operators between Banach spaces.
Question
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When the domain is a C*-algebra, is it the strong*-norm continuity
property abelian determinated?
That means, if A is a C*-algebra, Y is a Banach space and T ia an operator
between A and Y such that the restriction of T on any commutative C*-subalgebra
is strong*-norm continuous, does T is strong*-norm continuous?
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