共查询到20条相似文献,搜索用时 62 毫秒
1.
Properties of composition operators induced by analytic self-maps on the unit disk of the complex plane in Hardy-Orlicz spaces are discussed. Results are concerned about boundedness, invertibility, compactness, Fredholm operators and spectra of composition operators. 相似文献
2.
3.
In this paper we discuss the K-groups of Wiener algebra ;W. For the 1-shift space XGM2,We obtain a characterization of Fredholm operators on X^nGM2 for all n ∈ N. We also calculate the K-groups of operator algebra on the 1-shift space XGM2. 相似文献
4.
Qianglian Huang & Shuangyun Gao 《分析论及其应用》2012,28(2):146-155
Utilizing the stability characterizations of generalized inverses of linear operator, we investigate the existence of generalized resolvent of linear pencils in Banach spaces. Some practical criterions for the existence of generalized resolvents of the linear pencil λ→ T λ S are provided and an explicit expression of the generalized resolvent is also given. As applications, the characterization for the Moore-Penrose inverse of the linear pencil to be its generalized resolvent and the existence of the generalized resolvents of linear pencils of finite rank operators, Fredholm operators and semi-Fredholm operators are also considered. The results obtained in this paper extend and improve many results in this area. 相似文献
5.
This paper concerns the controllability of autonomous and nonautonomous nonlinear discrete systems, in which linear parts might admit certain degeneracy. By introducing Fredholm operators and coincidence degree theory, sufficient conditions for nonlinear discrete systems to be controllable are presented. In addition,applications are given to illustrate main results. 相似文献
6.
Guoyuan Chen 《数学学报(英文版)》2013,29(5):975-992
A version of the "Fredholm index = spectral flow" theorem is proved for general families of elliptic operators {A(t)} t∈R on closed (compact and without boundary) manifolds. Here we do not require that A(t), t∈R or its leading part is self-adjoint. 相似文献
7.
Based on a new characterization of bounded and compact weighted composition operators on the Fock space obtained by Le T(Le T. Normal and isometric weighted composition operators on the Fock space. Bull. London. Math. Soc., 2014,46: 847–856), this paper shows that a bounded weighted composition operator on the Fock space is a Fredholm operator if and only if it is an invertible operator, and if and only if it is a nonzero constant multiple of a unitary operator. The result is very different from the corresponding results on the Hardy space and the Bergman space. 相似文献
8.
In the note,we establish for a bounded linear operator defined on a Hilbert space the necessary and sufficient conditions for the stability of property(ω) by means of the variant of the essential approximate point spectrum and the induced spectrum of consistency in Fredholm and index.In addition,the stability of property(ω) for H(P) operators is considered. 相似文献
9.
In the note,we establish for a bounded linear operator defined on a Hilbert space the necessary and sufficient conditions for the stability of property(ω) by means of the variant of the essential approximate point spectrum and the induced spectrum of consistency in Fredholm and index.In addition,the stability of property(ω) for H(P) operators is considered. 相似文献
10.
《数学物理学报(B辑英文版)》2015,(6)
In this paper,we develop some operational calculus inspired from the Fredholm operator theory to investigate the S-essential spectra of the sum and the product of two operators acting on a Banach space.Furthermore,we apply the obtained results to determine the S-essential spectra of an integro-differential operator with abstract boundary conditions in L_1([-α,α]×[-1,1])(α 0). 相似文献
11.
范亚静 《应用泛函分析学报》2012,14(3):265-273
将单值算子的Fredholm对的概念推广到多值线性算子的范畴上,讨论了Fredholm多值线性算子对的一些初等性质,在适当的条件下,获得了正则的Fredholm多值线性算子对的与正则Fredholm算子对的相平行的一些结果. 相似文献
12.
Vladimir Rabinovich Natasha Samko Stefan Samko 《Integral Equations and Operator Theory》2006,56(2):257-283
We study the local Fredholm spectra and global Fredholm properties for singular integral operators on composed Carleson curves
with discontinuous coefficients acting on weighted H?lder spaces. We consider the curves, coefficients, and weights which
are slowly oscillating at the nodes of the curve. Application of pseudodifferential operators technique allows us to explain
the influence of oscillation of curves, coefficients, and weights on the appearance of massive local Fredholm spectra. We
obtain a criterion of Fredholmness and index formula for operators under consideration. 相似文献
13.
N. De Grande-De Kimpe J. Martinez-Maurica 《Annali di Matematica Pura ed Applicata》1991,160(1):223-234
Summary The authors develop the Fredholm theory for semi-compact operators on non-archimedean locally convex spaces. This theory coincides with Schikhof's Fredholm theory for compact operators on Banach spaces which fails for non-complete normed spaces. 相似文献
14.
For the complete algebra of two-dimensional Töplitz operators with measurable bounded symbols, we establish conditions necessary for the Fredholm property of the operators and prove results on the separation of singularities of the symbols. As a corollary, conditions sufficient for the Fredholm property are established for operators with symbols satisfying local conditions of sectorial type. 相似文献
15.
In this paper, we prove an invertibility criterion for certain operators which is given as a linear algebraic combination of Toeplitz operators and Fourier multipliers acting on the Hardy space of the unit disc. Very similar to the case of Toeplitz operators, we prove that such operators are invertible if and only if they are Fredholm and their Fredholm index is zero. As an application, we prove that for “quasi-parabolic” composition operators the spectra and the essential spectra are equal. 相似文献
16.
17.
In this paper, we give an affirmative answer to Mbekhta's conjecture (Mbekhta, 1990 [13]) about the pseudo Fredholm operators in Hilbert space. As a consequence, we characterize pseudo Fredholm operators and we prove that the generalized Kato spectrum satisfies the spectral mapping theorem in the Hilbert spaces setting. 相似文献
18.
V. M. Deundyak 《Proceedings of the Steklov Institute of Mathematics》2012,278(1):51-59
The problem of getting effective Fredholm conditions for operators with bihomogeneous kernels reduces to the question of invertibility for families of operators with homogeneous kernels and to the calculation of homotopy invariants for spaces of Fredholm and invertible operators of that type. The purpose of the present paper is to study integral operators with homogeneous kernels of compact type in L p (? n ), 1 < p < +??. The classes of homotopy equivalence for the spaces of Fredholm and invertible operators in the C*-algebra of pair operators with homogeneous kernels of compact type are calculated by means of operator K-theory. 相似文献
19.
Vladimir S. Rabinovich Steffen Roch John Roe 《Integral Equations and Operator Theory》2004,49(2):221-238
The Fredholmness of a band-dominated operator on
is closely
related with the invertibility of its limit operators: the operator is Fredholm if
and only if each of its limit operators is invertible and if the norms of their inverses
are uniformly bounded. The goal of the present note is to show how the
Fredholm index of a Fredholm band-dominated operator can be determined
in terms of its limit operators. 相似文献
20.
Snežana Č. Živković-Zlatanović Dragan S. Djordjević Robin E. Harte 《Integral Equations and Operator Theory》2011,69(3):347-363
We consider left and right Browder operators, left and right Fredholm operators, spectra related with these operators, and
various operator quantities. 相似文献