E. Strouse, Finite rank intermediate Hankel operators, Arch Math. 67 (190¢,) 142-149E. Strouse, Finite rank intermediate Hankel operators, Arch. Math. (Basel) 67 (1996), 142-149. MR1399831(97i:47047). Zbl 0905.47014.Finite rank intermediate Hankel operators - Strouse - 1996...
Let H be a Hankel operator defined by its symbol =π/χ, where χ is a monic polynomial of degree n and π is a polynomial of degree less than n. Then H has rank n. We derive a generalized Takagi singular value problem defined by two n x n matrices, such that its n generalized ...
Some algebric properties of the small Hankel operator on the classical Dirichlet space are studied,and a necessary and sufficient condition for a small Hankel operator to be a finite rank operator is given. 研究Dirichlet空间上的小Hankel算子的代数性质,并给出了小Hankel算子为有限秩算子的充分必要条件...
under consideration here, the optimal rank–r approximation to H obtained directly from its SVD also has a Hankel operator structure. This is in contrast to the case of gen- eral systems, where enforcing this constraint requires per- forming a more computationally demanding Hankel norm approximation...
under consideration here, the optimal rank–r approximation to H obtained directly from its SVD also has a Hankel operator structure. This is in contrast to the case of gen- eral systems, where enforcing this constraint requires per- forming a more computationally demanding Hankel norm approximation...
is compact then k belongs As a result of Corollary 1, to the weak we describe the symbol of finite rank Hankel operator for arbitrary 1 < p < ∞. Lemma 5. If KerHk is the kernel of Hk then A(KerHk) ⊆ KerHk. Finite codimensional invariant subspace and uniform algebra 971 Proof ...
This also leads to a formula for the rank of a small Hankel operator on polydisk in terms of a certain degree of its rational symbol.doi:10.1016/S0024-3795(98)10223-9Caixing GuLinear Algebra and its ApplicationsC. Gu. Finite rank hankel operators on the polydisk. Linear algebra and its...
ValueLet H be a Hankel operator defined by its symbol rho = pi X Chi where Chi is a monic polynomial of degree n and pi is a polynomial of degree less than n. Then H has rank n. We derive a generalized Takagi singular value problem defined by two n x n matrices, such that its ...
Finite SequenceHankel OperatorThe following theorem is proved. Let Λ be a divisor of n points of the unit disk and let σ 1 , σ 2 ,...σ n be a finite sequence of nonzero complex numbers. Then there exists a Hankel operator Γ of rank n such that the divisor of the poles of ...
For self-adjoint Hankel operators of finite rank, we find an explicit formula for the total multiplicity of their negative and positive spectra. We also show that very strong perturbations, for example, a perturbation by the Carleman operator, do not change the total number of negative ...