共查询到20条相似文献,搜索用时 31 毫秒
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Jeremy M. Greene J. William Helton Victor Vinnikov 《Journal of Functional Analysis》2011,261(11):3390-3417
We consider symmetric polynomials, p, in the noncommutative (nc) free variables {x1,x2,…,xg}. We define the nc complex hessian of p as the second directional derivative (replacing xT by y)
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Let T be an integer with T?5 and let T2={2,3,…,T}. We consider the nonlinear discrete boundary value problem
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Guy Cohen 《Journal of Functional Analysis》2007,242(2):658-668
Let (Ω,F,μ) be a probability space and let T=P1P2?Pd be a finite product of conditional expectations with respect to the sub σ-algebras F1,F2,…,Fd. We show that for every f∈Lp(μ), 1<p?2, the sequence {Tnf} converges μ-a.e., with
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Let A1,…,AN be complex self-adjoint matrices and let ρ be a density matrix. The Robertson uncertainty principle
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Yong-Gao Chen 《Journal of Number Theory》2003,100(2):326-331
Let p1,p2,… be the sequence of all primes in ascending order. The following result is proved: for any given positive integer k and any given , there exist infinitely many positive integers n with
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Mordecai J. Golin 《Discrete Mathematics》2010,310(4):792-803
Let T(G) be the number of spanning trees in graph G. In this note, we explore the asymptotics of T(G) when G is a circulant graph with given jumps.The circulant graph is the 2k-regular graph with n vertices labeled 0,1,2,…,n−1, where node i has the 2k neighbors i±s1,i±s2,…,i±sk where all the operations are . We give a closed formula for the asymptotic limit as a function of s1,s2,…,sk. We then extend this by permitting some of the jumps to be linear functions of n, i.e., letting si, di and ei be arbitrary integers, and examining
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Xiaosong Liu 《Journal of Mathematical Analysis and Applications》2006,324(1):604-614
Suppose f is a spirallike function of type β (or starlike function of order α) on the unit disk D in C. Let , where 1?p1?2 (or 0<p1?2), pj?1, j=2,…,n, are real numbers. In this paper, we prove that
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For finite subsets A1,…,An of a field, their sumset is given by . In this paper, we study various restricted sumsets of A1,…,An with restrictions of the following forms:
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Xiongping Dai 《Journal of Differential Equations》2011,250(9):3584-3629
Let {A1,…,AK}⊂Cd×d be arbitrary K matrices, where K and d both ?2. For any 0<Δ<∞, we denote by the set of all switching sequences u=(λ.,t.):N→{1,…,K}×R+ satisfying tj−tj−1?Δ and
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Let A1,A2 be standard operator algebras on complex Banach spaces X1,X2, respectively. For k?2, let (i1,…,im) be a sequence with terms chosen from {1,…,k}, and define the generalized Jordan product
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Hao Pan 《Journal of Combinatorial Theory, Series A》2009,116(8):1374-1381
Let A1,…,An be finite subsets of a field F, and let
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Let K1,…,Kn be (infinite) non-negative matrices that define operators on a Banach sequence space. Given a function f:[0,∞)×…×[0,∞)→[0,∞) of n variables, we define a non-negative matrix and consider the inequality
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Let ?∞ be the space of all bounded sequences x=(x1,x2,…) with the norm
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We define nonselfadjoint operator algebras with generators Le1,…,Len,Lf1,…,Lfm subject to the unitary commutation relations of the form
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Yasuo Teranishi 《Discrete Mathematics》2002,257(1):183-189