共查询到20条相似文献,搜索用时 31 毫秒
1.
Column and row operator spaces—which we denote by COL and ROW, respectively—over arbitrary Banach spaces were introduced by the first-named author; for Hilbert spaces, these definitions coincide with the usual ones. Given a locally compact group G and p,p′∈(1,∞) with , we use the operator space structure on to equip the Figà-Talamanca-Herz algebra Ap(G) with an operator space structure, turning it into a quantized Banach algebra. Moreover, we show that, for p?q?2 or 2?q?p and amenable G, the canonical inclusion Aq(G)⊂Ap(G) is completely bounded (with cb-norm at most , where is Grothendieck's constant). As an application, we show that G is amenable if and only if Ap(G) is operator amenable for all—and equivalently for one—p∈(1,∞); this extends a theorem by Ruan. 相似文献
2.
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
3.
Let (|q|<1). For k∈N it is shown that there exist k rational numbers A(k,0),…,A(k,k−1) such that
4.
We completely describe those positive Borel measures μ in the unit disc D such that the Bergman space Ap(w)⊂Lq(μ), 0<p,q<∞, where w belongs to a large class W of rapidly decreasing weights which includes the exponential weights , α>0, and some double exponential type weights.As an application of that result, we characterize the boundedness and the compactness of Tg:Ap(w)→Aq(w), 0<p,q<∞, w∈W, where Tg is the integration operator
5.
Caisheng Chen 《Journal of Mathematical Analysis and Applications》2008,337(1):318-332
In this paper, we study the long-time behavior of solutions for m-Laplacian parabolic equation in Ω×(0,∞) with the initial data u(x,0)=u0(x)∈Lq, q?1, and zero boundary condition in ∂Ω. Two cases for a(x)?a0>0 and a(x)?0 are considered. We obtain the existence and Lp estimate of global attractor A in Lp, for any p?max{1,q}. The attractor A is in fact a bounded set in if a(x)?a0>0 in Ω, and A is bounded in if a(x)?0 in Ω. 相似文献
6.
Let A?B?0 with A>0, t∈[0,1] and p?1. Then we shall show that
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8.
Let I=[a,b]⊂R, let 1<p?q<∞, let u and v be positive functions with u∈Lp′(I), v∈Lq(I) and let be the Hardy-type operator given by
9.
Szabolcs Baják 《Applied mathematics and computation》2010,216(11):3219-3227
We solve the so-called invariance equation in the class of two-variable Stolarsky means {Sp,q:p,q∈R}, i.e., we find necessary and sufficient conditions on the six parameters a, b, c, d, p, q such that the identity
10.
Nadejda E. Dyakevich 《Journal of Mathematical Analysis and Applications》2008,338(2):892-901
Let q?0, p?0, T?∞, D=(0,a), , Ω=D×(0,T), and Lu=xqut−uxx. This article considers the following degenerate semilinear parabolic initial-boundary value problem,
11.
Let p(z) be a polynomial of degree n which does not vanish in |z|<k. It is known that for each q>0 and k?1,
12.
Takayuki Furuta 《Linear algebra and its applications》2008,428(4):1072-1082
We discuss monotonicity of order preserving operator functions and related order preserving operator inequalities.LetA?B?0withA>0,t∈[0,1]andp?1. Let
13.
Markus Biegert 《Journal of Differential Equations》2009,247(7):1949-698
Let Ω⊂RN be a bounded domain and let μ be an admissible measure on ∂Ω. We show in the first part that if Ω has the H1-extension property, then a realization of the Laplace operator with generalized nonlinear Robin boundary conditions, formally given by on ∂Ω, generates a strongly continuous nonlinear submarkovian semigroup SB=(SB(t))t?0 on L2(Ω). We also obtain that this semigroup is ultracontractive in the sense that for every u,v∈Lp(Ω), p?2 and every t>0, one has
14.
Huaning Liu 《Journal of Mathematical Analysis and Applications》2010,361(1):205-223
Let q, m, n, k be integers with q?3 and k?1, define the exponential sum
15.
Z. Ditzian 《Journal of Mathematical Analysis and Applications》2011,384(2):303-306
For expansion by Jacobi polynomials we relate smoothness given by appropriate K-functionals in Lp, 1?p?2, to estimates on the coefficients in the ?q form. As a corollary for 1<p?2, and an the coefficients of the Legendre expansion of f∈Lp[−1,1], we obtain the estimate
16.
Let B(X) be the algebra of all bounded linear operators on the Banach space X, and let N(X) be the set of nilpotent operators in B(X). Suppose ?:B(X)→B(X) is a surjective map such that A,B∈B(X) satisfy AB∈N(X) if and only if ?(A)?(B)∈N(X). If X is infinite dimensional, then there exists a map f:B(X)→C?{0} such that one of the following holds:
- (a)
- There is a bijective bounded linear or conjugate-linear operator S:X→X such that ? has the form A?S[f(A)A]S-1.
- (b)
- The space X is reflexive, and there exists a bijective bounded linear or conjugate-linear operator S : X′ → X such that ? has the form A ? S[f(A)A′]S−1.
17.
Let Cp be the Schatten p-class for p>0. Generalizations of the parallelogram law for the Schatten 2-norms have been given in the following form: if A={A1,A2,…,An} and B={B1,B2,…,Bn} are two sets of operators in, then C2
18.
Let X be a real finite-dimensional normed space with unit sphere SX and let L(X) be the space of linear operators from X into itself. It is proved that X is an inner product space if and only if for A,C∈L(X)
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20.
In this paper, we present a complement of a generalized Ando-Hiai inequality due to Fujii and Kamei [M. Fujii, E. Kamei, Ando-Hiai inequality and Furuta inequality, Linear Algebra Appl. 416 (2006) 541-545]. Let A and B be positive operators on a Hilbert space H such that 0<m1?A?M1 and 0<m2?B?M2 for some scalars mi?Mi (i=1,2), and let α∈[0,1]. Put for i=1,2. Then for each 0<r?1 and s?1