共查询到20条相似文献,搜索用时 15 毫秒
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考虑了von Neumann形式的自伴延拓和以Calkin方法给出的自伴延拓之间的关系,证明了这两种自伴延拓是一致的并可以互相转化的. 相似文献
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O. E. Tikhonov 《Functional Analysis and Its Applications》2007,41(3):245-246
The theorem in [E. B. Davies, J. London Math. Soc. (2), 4, 435–436 (1972)] is extended. As a corollary, Kadison’s theorem on strong continuity of operator functions is refined. 相似文献
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Julio Flores 《Journal of Mathematical Analysis and Applications》2009,354(2):657-663
The notion of disjointly homogeneous Banach lattice is introduced. In these spaces every two disjoint sequences share equivalent subsequences. It is proved that on this class of Banach lattices the product of a regular AM-compact and a regular disjointly strictly singular operators is always a compact operator. 相似文献
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主要研究了T是广义弱亚正规算子时,T~t是拟正规算子的充要条件是T是拟正规算子.并且举例说明了存在非次正规的广义弱亚正规算子T使得T~t是次正规的. 相似文献
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We discuss the possibility of applying linear structures for solving nonlinear differential equations. 相似文献
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本文定义了Hilbert空间上两个算子间的四种关系:星序、左星序,右星序及减序,使用了算子分块矩阵的方法,给出了两个算子具有上述四种关系之一时它们几何结构的刻画,证明了这四种关系是真正的偏序关系,进一步研究了它们之间的关系和性质. 相似文献
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解析函数的Banach空间上之复合算子 总被引:2,自引:0,他引:2
本文研究了一类解析函数的Banach空间X上之复合算子,这类空间包含了Bloch空间,并且可看作Bergman空间L1a(D)中具有原子分解的解析函数的对偶空间.我们刻划了这类空间上紧复合算子及Fredholm复合算子的特征,此外,还研究了具有闭值域的复合算子. 相似文献
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艾尼·吾甫尔 《应用泛函分析学报》2004,6(2):106-121
首先运用Phillips定理和Fattorini定理证明M/M^k,^B/1排队模型概率瞬态解的存在唯一性,然后通过研究对应于M/M^k,^B/1排队模型的主算子的共轭算子的豫解集得到该主算子的豫解集:在虚轴上除了零点外其它所有点都属于该主算子的豫解集. 相似文献
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The first-order moments and two families of commutators are proven to determine uniquely the moments of a probability measure
on ℝ
d
. These families are the commutators between the annihilation and creation operators, and the commutators between the annihilation
and preservation operators. An explicit method for recovering the moments from these commutators and first-order moments is
presented.
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J. Ding 《Proceedings of the American Mathematical Society》1998,126(5):1355-1361
We present some results on the point spectrum of the Frobenius-Perron operator and the Koopman operator associated with a nonsingular transformation on a -finite measure space .
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Let and let the Bessel operator defined on . We show that the oscillation and -variation operators of the Riesz transform associated with are bounded on BMO , where and . Moreover, we construct a -atom as a counterexample to show that the oscillation and -variation operators of are not bounded from to . Finally, we prove that the oscillation and the -variation operators for the smooth truncations associated with Bessel operators are bounded from to . 相似文献
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Let ψ be a holomorphic function on the open unit disk D and φ a holomorphic self-map of D. Let Cφ, Mψ and D denote the composition, multiplication and differentiation operator, respectively. We consider linear operators induced by products of these operators on weighted Bergman spaces on D. The boundedness is established by using Carleson-type measures. 相似文献
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Two operators A, B ∈ B(H) are said to be strongly approximatively similar, denoted by A -sas B, if (i) given ε 〉 0, there exist Ki ∈ B(H) compact with ||Ki|| 〈ε(i = 1,2) such that A+K1 and B + K2 are similar; (ii) σ0(A) = σ0(B) and dim H(λ; A) = dim H(λ; B) for each λ ∈ σ0(A). In this paper, we prove the following result. Let S,T ∈ B(H) be quasitriangular satisfying: (i) σ(T) = σ(S) = σw(S) is connected and σe(S) = σlre(S); (ii) ρs-F(S) ∩ σ(S) consists of at most finite components and each component Ω satisfies that Ω = int Ω, where int Ω is the interior of Ω. Then, S -sas T if and only if S and T are essentially similar. 相似文献
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The composition operators on H2 whose symbols are hyperbolic automorphisms of the unit disk fixing ±1 comprise a one-parameter group and the analytic Toeplitz operators coming from covering maps of annuli centered at the origin whose radii are reciprocals also form a one-parameter group. Using the eigenvectors of the composition operators and of the adjoints of the Toeplitz operators, a direct unitary equivalence is found between the restrictions to zH2 of the group of Toeplitz operators and the group of adjoints of these composition operators. On the other hand, it is shown that there is not a unitary equivalence of the groups of Toeplitz operators and the adjoints of the composition operators on the whole of H2, but there is a similarity between them. 相似文献