Rank one operator
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Rank one operator
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Webb15 dec. 2007 · Rank-one perturbations of normal operators and hyponormality I. Jung, Eun-young Lee Mathematics 2014 Let T = N + u⊗ v be a rank-one perturbation of a normal operator N acting on a separable, infinite dimensional, complex Hilbert space H . It is proved that the hyponormality of T is equivalent to the… 1 PDF Webb1 juli 2007 · For a single operator A ∈ A, we define the two particular elementary operators L A and R A onAby L A (X) = AX and R A (X) = XA, for every X in A. We denote by d (R A,B ) the supremum of the norm of R A,B (X) over all unit rank one operators on E. In this note, we shall characterize: (i) the supremun d (R A,B ), (ii) the relation d (R A,B ...
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WebbIf H is a (complex) Hilbert space and is a collection of (closed linear) subspaces of H it is easily shown that the set of all (bounded linear) operators acting on H which leave every …
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