共查询到19条相似文献,搜索用时 46 毫秒
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Yang Changsen Li Haiying 《高校应用数学学报(英文版)》2006,21(1):64-68
The approximate point spectrum properties of p-ω-hyponormal operators are given and proved. In faet, it is a generalization of approximate point speetrum properties of ω- hyponormal operators. The relation of spectra and numerical range of p-ω-hyponormal operators is obtained, On the other hand, for p-ω-hyponormal operators T,it is showed that if Y is normal,then T is also normal. 相似文献
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本文定义了非重交换的联合半亚正常算子组,证明了谱分割定理和谱投影定理,提示了半亚正常算子组的 Taylor 联合谱与它们的记号算子组的 Taylor 联合谱之间的关系. 相似文献
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本文讨论了算子A∈B(H)N为算子T∈B(H)的算子点谱的判定条件,特别得到:当T为亚正常算子时,A为T的算子点谱的判定条件,另外还得到kerτnT,A=kerτT,A成立的充分条件 相似文献
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给出了关于算子组Taylor谱的另一种定义及ε-联合伪谱的定义,并讨论了它的一些性质以及关于交叉交换算子组在这几种定义下的一些结果. 相似文献
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If Tφ is a hyponormal Toeplitz operator with polynomial symbol φ = ḡ + f (f, g ∈ H∞ (𝕋 )) such that g divides f, and if ψ := then where μ is the leading coefficient of ψ and 𝒵(ψ) denotes the set of zeros of ψ. In this paper we present a necessary and sufficient condition for Tφ to be hyponormal when φ enjoys an extremal case in the above inequality, that is, equality holds in the above inequality. 相似文献
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极小子流形上Laplace算子的谱 总被引:2,自引:0,他引:2
本文讨论了Sn+p(1)(或CPn+1)中极小子流形上Laplace算子的谱,证明了Sn+p(1)中全测地极小子流形(或CPn+1中Kachler超曲面)是由作用在q-形式上的Laplace算子的谱唯一确定. 相似文献
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Let H be the discrete Schrödinger operator acting on l2 Z+, where the potential v is real-valued and v(n) 0 as n . Let P be the orthogonal projection onto a closedlinear subspace l2 Z+). In a recent paper E. B. Davies definesthe second order spectrum Spec2(H, ) of H relative to as theset of z C such that the restriction to of the operator P(H- z)2P is not invertible within the space . The purpose of thisarticle is to investigate properties of Spec2(H, ) when islarge but finite dimensional. We explore in particular the connectionbetween this set and the spectrum of H. Our main result providessharp bounds in terms of the potential v for the asymptoticbehaviour of Spec2(H, ) as increases towards l2 Z+). 2000 MathematicsSubject Classification 47B36 (primary), 47B39, 81-08 (secondary). 相似文献
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A. Yu. Konstantinov 《Functional Analysis and Its Applications》2002,36(3):233-235
We study the essential spectrum of a class of nonelliptic matrix partial differential operators related to a linear magnetohydrodynamic model. 相似文献
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In this paper, we show that the hyponormal Toeplitz operator Tφ with trigonometric polynomial symbol φ is either normal or completely non-normal. Moreover, if Tφ is non-normal, then Tφ has a dense set of cyclic vectors. Some general conditions are also considered. 相似文献
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In this paper we study some properties of a totally *-paranormal operator (defined below) on Hilbert space. In particular,
we characterize a totally *-paranormal operator. Also we show that Weyl’s theorem and the spectral mapping theorem hold for
totally *-paranormal operators through the local spectral theory. Finally, we show that every totally *-paranormal operator
satisfies an analogue of the single valued extension property for W
2(D, H) and some of totally *-paranormal operators have scalar extensions. 相似文献