Spectral theory of operator-valued transformations
نویسندگان
چکیده
منابع مشابه
Operator-valued spectral measures and large deviations
Let H be a Hilbert space, U an unitary operator on H and K a cyclic subspace for U . The spectral measure of the pair (U,K) is an operator-valued measure μK on the unit circle T such that ∫ T zdμK(z) = ( PKU k ) ↾K , ∀ k ≥ 0 where PK and ↾ K are the projection and restriction on K, respectively. When K is one dimensional, μ is a scalar probability measure. In this case, if U is picked at random...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1973
ISSN: 0022-247X
DOI: 10.1016/0022-247x(73)90225-4