Results 1 to 10 of about 181,839 (320)
Finite-rank intermediate Hankel operators on the Bergman space [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 Let L2=L2(D,r dr dθ/π) be the Lebesgue space on the open unit disc and let La2=L2∩ℋol(D) be the Bergman space. Let P be the orthogonal projection of L2 onto La2 and let Q be the orthogonal projection onto L¯a,02={g∈L2;g¯∈La2, g(0)=0}. Then I−P≥Q.
Takahiko Nakazi, Tomoko Osawa
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Finite rank intermediate Hankel operators and the big Hankel operator [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 Let La2 be a Bergman space. We are interested in an intermediate Hankel operator HφM from La2 to a closed subspace M of L2 which is invariant under the multiplication by the coordinate function z.
Tomoko Osawa
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Finite rank perturbations and solutions to the operator Riccati equation [PDF]
, 2015 We consider an off-diagonal self-adjoint finite rank perturbation of a self-adjoint operator in a complex separable Hilbert space $\mathfrak{H}_0 \oplus \mathfrak{H}_1$, where $\mathfrak{H}_1$ is finite dimensional.
Großmann, Julian P.
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A Note on Property (gb) and Perturbations [PDF]
Abstract and Applied Analysis, 2012 An operator T∈ℬ(X) defined on a Banach space X satisfies property (gb) if the complement in the approximate point spectrum σa(T) of the upper semi-B-Weyl spectrum σSBF+-(T) coincides with the set Π(T) of all poles of the resolvent of T. In this paper, we
Qingping Zeng, Huaijie Zhong
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A hypercyclic finite rank perturbation of a unitary operator [PDF]
, 2010 A unitary operator $V$ and a rank $2$ operator $R$ acting on a Hilbert space $\H$ are constructed such that $V+R$ is hypercyclic. This answers affirmatively a question of Salas whether a finite rank perturbation of a hyponormal operator can be ...
A. Belov +10 more
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Norm attaining operators of finite rank [PDF]
, 2019 25 pages, minor modifications, to appear in the special volume "The mathematical legacy of Victor Lomonosov", to be published by De ...
Vladimir Kadets +3 more
+6 more sources
The finite rank theorem for Toeplitz operators in the Fock space [PDF]
, 2013 We consider Toeplitz operators in the Fock space, under rather general conditions imposed on the symbols. It is proved that if the operator has finite rank and the symbol is a function then the operator and the symbol should be zero.
Borichev, Alexander, Rozenblum, Grigori
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Truncated Toeplitz operators of finite rank [PDF]
Proceedings of the American Mathematical Society, 2012 We give a complete description of the finite-rank truncated Toeplitz operators.
Roman Bessonov
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On finite rank Hankel operators [PDF]
Journal of Functional Analysis, 2013 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 eigenvalues of finite rank Hankel operators.
D. R. Yafaev
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The effect of finite rank perturbations on Jordan chains of linear operators [PDF]
, 2014 A general result on the structure and dimension of the root subspaces of a matrix or a linear operator under finite rank perturbations is proved: The increase of dimension from the $n$-th power of the kernel of the perturbed operator to the $(n+1)$-th ...
Behrndt, Jussi +3 more
core +7 more sources