共查询到20条相似文献,搜索用时 15 毫秒
1.
Let H be an infinite dimensional complex Hilbert space. Denote by B(H)the algebra of all bounded linear operators on H, and by I(H) the set of all idempotents in B(H). Suppose that φ is a surjective map from B(H) onto itself. If for everyλ∈ {-1, 1, 2, 3, 1/2, 1/3} and A, B ∈ B(H), A - λB ∈ I(H) (→)φ(A) - λφ(B) ∈ I(H), then φis a Jordan ring automorphism, i.e. there exists a continuous invertible linear or conjugate linear operator T on H such that φ(A) = TAT-1 for all A ∈ B(H), or φ(A) = TA*T-1 for all A ∈ B(H); if, in addition, A - iB ∈ I(H) (→)φ(A) - iφ(B) ∈ I(H), here i is the imaginary unit, then φ is either an automorphism or an anti-automorphism. 相似文献
2.
Anuradha Sharma Gurmeet K. Bakshi V. C. Dumir Madhu Raka 《Finite Fields and Their Applications》2004,10(4):133
Let q be an odd prime power and p be an odd prime with gcd(p,q)=1. Let order of q modulo p be f,
and qf=1+pλ. Here expressions for all the primitive idempotents in the ring Rpn=GF(q)[x]/(xpn−1), for any positive integer n, are obtained in terms of cyclotomic numbers, provided p does not divide λ if n2. The dimension, generating polynomials and minimum distances of minimal cyclic codes of length pn over GF(q) are also discussed. 相似文献
3.
The authors establish the boundedness of Marcinkiewicz integrals from the Hardy space H1(Rn × Rm) to the Lebesgue space L1(Rn × Rm) and their commutators with Lipschitz functions from the Hardy space H1(Rn × Rm) to the Lebesgue space Lq(Rn × Rm) for some q>1. 相似文献
4.
M. V. Mosolova 《Mathematical Notes》1978,23(6):448-452
We establish the formula $$\ln (e^B e^A ) = \smallint _0^t \psi (e^{ - \tau ad_A } e^{ - \tau ad_B } ) e^{ - \tau ad_A } d\tau (A + B),$$ where Ψ(x)=(In x)/(x ? 1); here A and B are elements of a. finite-dimensional Lie algebra which satisfy certain conditions. This formula enables us, in particular, to give a simple proof of the Campbell-Hausdorff theorem. We also give a generalization of the formula to the case of an arbitrary number of factors. 相似文献
5.
Mathieu Duckerts Tomas Everaert Marino Gran 《Journal of Pure and Applied Algebra》2012,216(8-9):1837-1851
A connection between the Galois-theoretic approach to semi-abelian homology and the homological closure operators is established. In particular, a generalised Hopf formula for homology is obtained, allowing the choice of a new kind of functors as coefficients. This makes it possible to calculate the fundamental groups corresponding to many interesting reflections arising, for instance, in the categories of groups, rings, compact groups and simplicial loops. 相似文献
6.
This paper answers negatively the question of whether the sets of idempotents in the weakly almost periodic compactifications of and are closed.
7.
Let P n and T n be the partial transformation and the full transformation semigroups on the set {1,…, n}, respectively. In this paper we find necessary and sufficient conditions for any set of partial transformations of height r in the subsemigroup PK(n, r) = {α ∈P n : |im (α)| ≤r} of P n to be a (minimal) generating set of PK(n, r); and similarly, for any set of full transformations of height r in the subsemigroup K(n, r) = {α ∈T n : |im (α)| ≤r} of T n to be a (minimal) generating set of K(n, r) for 2 ≤ r ≤ n ? 1. 相似文献
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10.
The authors establish the boundedness of Marcinkiewicz integrals from the Hardy space H 1 (? n × ? m ) to the Lebesgue space L 1(? n × ? m ) and their commutators with Lipschitz functions from the Hardy space H 1 (? n × ? m ) to the Lebesgue space L q (? n × ? m ) for some q > 1. 相似文献
11.
Harald Günzel Hubertus Th. Jongen Oliver Stein 《Central European Journal of Operations Research》2007,15(3):271-280
In generalized semi-infinite programming the feasible set is known to be not closed in general. In this paper, under natural
and generic assumptions, the closure of the feasible set is described in explicit terms.
Oliver Stein gratefully acknowledges support through a Heisenberg grant of the Deutsche Forschungsgemeinschaft. 相似文献
12.
Let G be a finite group and let ω(G) be the set of its element orders. We prove that if ω(G) = ω(B p (3)) where p is an odd prime, then G ? B 3(3) or D 4(3) for p = 3 and G ? B p (3) for p > 3. 相似文献
13.
齐型空间上的T(1)定理和交换子 总被引:1,自引:0,他引:1
本文在齐型空间上讨论弱核形式的 T(1) 定理, 并得到弱核形式的奇异积分算子与 BMO 函数的交换子的Lp有界性及端点估计 (1<p<∞ ). 相似文献
14.
The composition operators with closed rangc on H2(B
n) are characterized, and the Fredholmness of products of Toeplitz and composition operators discussed. Moreover, using composition
operators, the spectra of Toeplitz operators are studied.
Project supported by the National Natural Sciencc Foundation of China and the Postdoctoral Science Foundation of China. 相似文献
15.
Summary. We consider the solution of systems of linear algebraic equations which arise from the finite element discretization of variational
problems posed in the Hilbert spaces and in three dimensions. We show that if appropriate finite element spaces and appropriate additive or multiplicative Schwarz
smoothers are used, then the multigrid V-cycle is an efficient solver and preconditioner for the discrete operator. All results
are uniform with respect to the mesh size, the number of mesh levels, and weights on the two terms in the inner products.
Received June 12, 1998 / Revised version received March 12, 1999 / Published online January 27, 2000 相似文献
16.
Let B(H) be the C*-algebra of all bounded linear operators on a complex Hilbert space H. It is proved that an additive surjective map φ on B(H) preserving the star partial order in both directions if and only if one of the following assertions holds.(1) There exist a nonzero complex number α and two unitary operators U and V on H such that φ(X) = αUXV or φ(X) = αUX*V for all X ∈ B(H).(2)There exist a nonzero α and two anti-unitary operators U and V on H such thatφ(X) = αUXV or φ(X) = αUX*V for all X ∈ B(H). 相似文献
17.
本文定义了(f,T)-相容对(B,H),利用这样的相容对可以给出一个辫子张量 范畴和一个量子Yang-Baxter方程的解,并且通过扭曲Hopf代数B的乘法,构造 Yetter-Drinfeld范畴中HHyD的Hopf代数. 相似文献
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19.
The notion of an ideal family of weighted subspaces of a discrete metric space X with bounded geometry is introduced.It is shown that,if X has Yu's property A,the ideal structure of the Roe algebra of X with coefficients in B(H) is completely characterized by the ideal families of weighted subspaces of X,where B(H) denotes the C*-algebra of bounded linear operators on a separable Hilbert space H. 相似文献
20.
The notion of an ideal family of weighted subspaces of a discrete metric space X with bounded geometry is introduced. It is shown that, if X has Yu's property A, the ideal structure of the Roe algebra of X with coefficients in B(H) is completely characterized by the ideal families of weighted subspaces of X, where B(H) denotes the C*-algebra of bounded linear operators on a separable Hilbert space H. 相似文献