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Results tagged with fa.functional-analysis
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user 30879
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
3
votes
Accepted
Cyclic vectors for C* algebras
The answer is yes, as per Nik Weaver's hint: E.g. $C[0,1]$ acting by multiplication on $L_2[0,1]$.
- 51
2
votes
1
answer
349
views
Cyclic vectors for C* algebras
Let A be a C* algebra of operators on a Hilbert space H. Can it happen that for some x in H the set Ax is dense in H but it is not the whole H?
- 51