共查询到20条相似文献,搜索用时 78 毫秒
1.
2.
3.
4.
讨论在C*-凸理论下C*-代数A的广义态空间SCn(A)中的Krein-Milman型问题.证明了SCn(A)的任意一个BW-紧的C*-凸子集K都具有一个C*-端点,而且K是其C*-端点的C*-凸包. 相似文献
5.
6.
7.
本文我们引入了函数类Bδ(G//K)={φ∈L1(G//K)||φ(t)|≤Δ-1(t)(1+t)1-δ,δ>0),对f∈Lp(G//K),1≤p≤∞,和极大算子(?),证明了这类算子是(H∞,s1,L1)型的. 相似文献
8.
Hp(Rn×R+)(1<p<+∞)函数得渐近行为于70年代已获得整体上的描述,今利用扩张得空间EHp(Rn×R+)的不同层次间的内在关联,给出每个层次Hp函数的具体的渐近行为,以及EHp函数在整体上得渐近行为. 相似文献
9.
10.
本文给出了Oh点群表象中的d2,8(C3v*)完全强场矩阵,并借助于这种矩阵的特征值和特征矢量,建立了CsMgX3:Ni2+(X=Cl,B,I)类晶体的全组态混合EPR理论。应用这一理论,对CsMgCl3晶体中的Ni2+杂质离子的光学吸收谱、基态零场分裂参量D、顺磁g因数、基态Zeeman分裂以及EPR条件(B,hv0)进行了统一的计算。结果与观测非常一致,从而首次对CsMgCl3:Ni2+的光、磁性质作出了统一的理论解释。 相似文献
11.
We investigate when the set of finite products of distinct terms of a sequence 〈x
n
〉
n=1∞ in a semigroup (S,⋅) is large in any of several standard notions of largeness. These include piecewise syndetic, central, syndetic, central*, and IP*. In the case of a “nice” sequence in (S,⋅)=(ℕ,+) one has that FS(〈x
n
〉
n=1∞) has any or all of the first three properties if and only if {x
n+1−∑
t=1
n
x
t
:n∈ℕ} is bounded from above.
N. Hindman acknowledges support received from the National Science Foundation via Grant DMS-0554803. 相似文献
12.
《随机分析与应用》2013,31(4):785-808
Abstract We study the queue length of the M X /G/1 queue under D-policy. We derive the queue length PGF at an arbitrary point of time. Then, we derive the mean queue length. As special cases, M/G/1, M X /M/1, and M/M/1 queue under D-policy are investigated. Finally, the effects of employing D-policy are discussed. 相似文献
13.
Chunhong FU 《数学年刊B辑(英文版)》2023,44(3):325-344
Motivated by two norm equations used to characterize the Friedrichs angle, this paper studies C*-isomorphisms associated with two projections by introducing the matched triple and the semi-harmonious pair of projections. A triple (P, Q, H) is said to be matched if H is a Hilbert C*-module, P and Q are projections on H such that their infimum P ∧ Q exists as an element of L(H), where L(H) denotes the set of all adjointable operators on H. The C*-subalgebras of L(H) generated by elements in {P - P ∧ Q, Q - P ∧ Q, I} and {P, Q, P ∧ Q, I} are denoted by i(P, Q, H) and o(P, Q, H), respectively. It is proved that each faithful representation (π, X) of o(P, Q, H) can induce a faithful representation (π, X e) of i(P, Q, H) such that e π(P - P ∧ Q) = π(P) - π(P) ∧ π(Q),eπ(Q - P ∧ Q) = π(Q) - π(P) ∧ π(Q).When (P, Q) is semi-harmonious, that is, R(P + Q) and R(2I - P - Q) are both orthogonally complemented in H, it is shown that i(P, Q, H) and i(I - Q, I - P, H) are unitarily equivalent via a unitary operator in L(H). A counterexample is constructed, which shows that the same may be not true when (P, Q) fails to be semi-harmonious. Likewise, a counterexample is constructed such that (P, Q) is semi-harmonious, whereas (P, I - Q) is not semi-harmonious. Some additional examples indicating new phenomena of adjointable operators acting on Hilbert C*-modules are also provided. 相似文献
14.
María Burgos Antonio M. Peralta 《Journal of Mathematical Analysis and Applications》2011,376(1):221-230
We prove that every biorthogonality preserving linear surjection between two dual or compact C?-algebras or between two von Neumann algebras is automatically continuous. 相似文献
15.
We study first EP modular operators on Hilbert C?-modules and then we provide necessary and sufficient conditions for the product of two EP modular operators to be EP. These enable us to extend some results of Koliha (2000) [13] for an arbitrary C?-algebra and the C?-algebras of compact operators. 相似文献
16.
The paper aims at developing a theory of nuclear (in the topological algebraic sense) pro-C*-algebras (which are inverse limits of C*-algebras) by investigating completely positive maps and tensor products. By using the structure of matrix algebras over a
pro-C*-algebra, it is shown that a unital continuous linear map between pro-C*-algebrasA andB is completely positive iff by restriction, it defines a completely positive map between the C*-algebrasb(A) andb(B) consisting of all bounded elements ofA andB. In the metrizable case,A andB are homeomorphically isomorphic iff they are matricially order isomorphic. The injective pro-C*-topology α and the projective pro-C*-topology v on A⊗B are shown to be minimal and maximal pro-C*-topologies; and α coincides with the topology of biequicontinous convergence iff eitherA orB is abelian. A nuclear pro-C*-algebraA is one that satisfies, for any pro-C*-algebra (or a C*-algebra)B, any of the equivalent requirements; (i) α =v onA ⊗B (ii)A is inverse limit of nuclear C*-algebras (iii) there is only one admissible pro-C*-topologyon A⊗B (iv) the bounded partb(A) ofA is a nuclear C⊗-algebra (v) any continuous complete state map A→B* can be approximated in simple weak* convergence by certain finite rank complete state maps. This is used to investigate permanence properties of nuclear pro-C*-algebras pertaining to subalgebras, quotients and projective and inductive limits. A nuclearity criterion for multiplier
algebras (in particular, the multiplier algebra of Pedersen ideal of a C*-algebra) is developed and the connection of this C*-algebraic nuclearity with Grothendieck’s linear topological nuclearity is examined. A σ-C*-algebraA is a nuclear space iff it is an inverse limit of finite dimensional C*-algebras; and if abelian, thenA is isomorphic to the algebra (pointwise operations) of all scalar sequences. 相似文献
17.
Najla A. Altwaijry 《Journal of Functional Analysis》2008,254(11):2866-2892
The Banach-Lie algebra L(A) of multiplication operators on the JB∗-triple A is introduced and it is shown that the hermitian part Lh(A) of L(A) is a unital GM-space the base of the dual cone in the dual GL-space ∗(Lh(A)) of which is affine isomorphic and weak∗-homeomorphic to the state space of L(A). In the case in which A is a JBW∗-triple, it is shown that tripotents u and v in A are orthogonal if and only if the corresponding multiplication operators in the unital GM-space Lh(A) satisfy
0?D(u,u)+D(v,v)?idA, 相似文献
18.
A new class of locally convex algebras, called BP*-algebras, is introduced. It is shown that this class properly includes MQ*-algebras which were introduced and studied by the first author andR. Rigelhof [10]. Among other results, it is proved that each positive functional on a BP*-algebraA is admissible but not necessarily continuous as shown by an example. However, ifA, in addition, is either (i) a Q-algebra, or (ii) has an identity and is barrelled, or (iii)A is endowed with the inductive limit topology, then each positive functional onA is continuous.This work was supported by an N.R.C. Grant. 相似文献
19.
Suppose $\cal{S}^1({\cal T})\subset H^1(\Omega)$ is the $P_1$-finite element
space of $\cal{T}$-piecewise affine functions
based on a regular triangulation $\cal{T}$ of a two-dimensional surface
$\Omega$ into triangles.
The $L^2$ projection $\Pi$ onto $\cal{S}^1(\cal{T})$ is $H^1$ stable
if $\norm{\Pi v}{H^1(\Omega)}\le C\norm{v}{H^1(\Omega)}$ for
all $v$ in the Sobolev space $H^1(\Omega)$ and if the bound $C$
does not depend on the mesh-size in $\cal{T}$ or on the
dimension of $\cal{S}^1(\cal{T})$.
\hskip 1em A red–green–blue refining adaptive algorithm is designed which
refines a coarse mesh $\cal{T}_0$ successively such that each triangle is
divided into one, two, three, or four subtriangles.
This is the newest vertex bisection supplemented with possible red refinements
based on a careful initialization.
The resulting finite element space allows
for an $H^1$ stable $L^2$ projection.
The stability
bound $C$ depends only on the coarse mesh $\cal{T}_0$ through the number of
unknowns, the shapes of the triangles in $\cal{T}_0$, and possible
Dirichlet boundary conditions. Our arguments also
provide a discrete version
$\norm{h_\cal{T}^{-1}\,\Pi v}{L^2(\Omega)}\le C\norm{h_\cal{T}^{-1}\,v}{L^2(\Omega)}$
in $L^2$ norms weighted with the mesh-size $h_\T$. 相似文献
20.
Existence and regularity of solutions to model for liquid mixture of 3He-4He is considered in this paper. First, it is proved that this system possesses a unique global weak solution in H1(ω,C×R) by using Galerkin method. Secondly, by using an iteration procedure, regularity estimates for the linear semigroups, it is proved that the model for liquid mixture of 3He-4He has a unique solution in Hk(ω,C×R) for all k ≥ 1. 相似文献