共查询到20条相似文献,搜索用时 15 毫秒
1.
Wies aw liwa 《Indagationes Mathematicae》2006,17(4):627-639
The power series spaces of finite type, A1(α), and infinite type, A∞(α), are the most known and important examples of non-Archimedean nuclear Fréchet spaces. We study when Aπ (α) has a subspace (or quotient) isomorphic to Aq(b). 相似文献
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Z. Suchanecki F. Gómez-Cubillo 《Journal of Mathematical Analysis and Applications》2010,371(2):454-464
We present new general methods to obtain shift representation of evolution semigroups defined on Banach spaces. We introduce the notion of time operator associated with a generalized shift on a Banach space and give some conditions under which time operators can be defined on an arbitrary Banach space. We also tackle the problem of scaling of time operators and obtain a general result about the existence of time operators on Banach spaces satisfying some geometric conditions. The last part of the paper contains some examples of explicit constructions of time operators on function spaces. 相似文献
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Krzysztof Piszczek 《Mathematische Nachrichten》2009,282(2):270-287
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In this paper, we study some properties of composition operators on Hilbert spaces of Dirichlet series, which include the Fredholmness, Hilbert-Schmidtness, spectra, cyclic and hypercyclic phenomenons, and also answer a norm question raised by Cowen and MacCluer. 相似文献
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Products of integral-type operators and composition operators between Bloch-type spaces 总被引:1,自引:0,他引:1
Songxiao Li 《Journal of Mathematical Analysis and Applications》2009,349(2):596-610
A complete picture on the boundedness and compactness of the products of integral-type operators and composition operators between Bloch-type spaces of holomorphic functions on the unit disk is given in this paper. 相似文献
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Tang Xiaomin 《高校应用数学学报(英文版)》2007,22(1):61-68
This paper characterizes the boundedness and compactness of weighted composition operators between Bers-type space (or little Bers-type space) and Bergman space. Some estimates for the norm of weighted composition operators between those spaces are obtained. 相似文献
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Krzysztof Piszczek 《Journal of Mathematical Analysis and Applications》2010,361(1):224-233
We characterize quasi-reflexive Fréchet spaces with a basis in terms of the properties of this basis. As a consequence we prove that a Fréchet space with a basis is quasi-reflexive of order one if and only if for every power bounded operator T, either T or T′ is mean ergodic. 相似文献
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《Mathematische Nachrichten》2017,290(14-15):2388-2400
In this paper, we study the high‐dimensional Hausdorff type operators and establish their boundedness on the power weighted Hardy spaces for . As a consequence, we obtain that the Hausdorff type operator is bounded on if Φ is the Gauss function, or the Poisson function. 相似文献
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《复变函数与椭圆型方程》2012,57(12):935-938
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王茂发 《数学物理学报(B辑英文版)》2011,31(2):641-651
In this article, we study the boundedness of weighted composition operators between different vector-valued Dirichlet spaces. Some sufficient and necessary conditions for such operators to be bounded are obtained exactly, which are different completely from the scalar-valued case. As applications, we show that these vector-valued Dirichlet spaces are different counterparts of the classical scalar-valued Dirichlet space and characterize the boundedness of multiplication operators between these different spaces. 相似文献
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Isabelle Chalendar 《Journal of Functional Analysis》2009,256(4):1258-1268
An operator between Banach spaces is said to be finitely strictly singular if for every ε>0 there exists n such that every subspace E⊆X with dimE?n contains a vector x such that ‖Tx‖<ε‖x‖. We show that, for 1?p<q<∞, the formal inclusion operator from Jp to Jq is finitely strictly singular. As a consequence, we obtain that the strictly singular operator with no invariant subspaces constructed by C. Read is actually finitely strictly singular. These results are deduced from the following fact: if k?n then every k-dimensional subspace of Rn contains a vector x with ‖x?∞‖=1 such that xmi=i(−1) for some m1<?<mk. 相似文献
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Composition operators between Bloch-type spaces in the polydisc 总被引:8,自引:0,他引:8
We characterize those holomorphic mappings (?) from the polydisc Dn in Cn to itself for which the induced composition operators C(?) are bounded (or compact) from the Bloch-type space Bωto Bμ(respectively, from the little Bloch-type space Bω,0 to Bμ,0), where ωis a normal function on [0,1) and μis a nonnegative function on [0,1) with μ(tn) > 0 for some sequence {tn}n=1∞(?)[0,1) satisfying limn→∞tn = 1. 相似文献
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The boundedness and compactness of the products of differentiation and composition operators from Zygmund spaces to Bloch spaces and Bers spaces are discussed in this paper. 相似文献
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Let ϕ be an analytic self-map and u be a fixed analytic function on the open unit disk D in the complex plane ℂ. The weighted composition operator is defined by
Weighted composition operators from Bergman-type spaces into Bloch spaces and little Bloch spaces are characterized by function
theoretic properties of their inducing maps. 相似文献
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We provide in this paper a direct and constructive proof of the following fact: for a Banach space there are bounded linear operators having hypercyclic vectors if and only if is separable and dim. This is a special case of a recent result, which in turn solves a problem proposed by S. Rolewicz.
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Erno Saukko 《Journal of Mathematical Analysis and Applications》2011,381(2):789-798
We obtain estimates for the norm and essential norm of the difference of two composition operators between certain Bergman spaces. In particular, a necessary and sufficient condition for boundedness and compactness of the operator is established. Finally, we give a sufficient condition for boundedness and compactness of the difference operator between Hardy spaces. 相似文献