共查询到20条相似文献,搜索用时 31 毫秒
1.
Ruy Exel 《Journal of Functional Analysis》2003,199(1):153-188
Given a unital -algebra A, an injective endomorphism preserving the unit, and a conditional expectation E from A to the range of α we consider the crossed-product of A by α relative to the transfer operator L=α−1E. When E is of index-finite type we show that there exists a conditional expectation G from the crossed-product to A which is unique under certain hypothesis. We define a “gauge action” on the crossed-product algebra in terms of a central positive element h and study its KMS states. The main result is: if h>1 and E(ab)=E(ba) for all a,b∈A (e.g. when A is commutative) then the KMSβ states are precisely those of the form ψ=φ°G, where φ is a trace on A satisfying the identity
2.
Xicheng Zhang 《Bulletin des Sciences Mathématiques》2005,129(7):559-566
Let (X,H,μ) be an abstract Wiener space, E(?,K) denote the metric entropy of a set K⊂X. If K is not a slim set, then we prove that
3.
Browder spectra for upper triangular operator matrices 总被引:1,自引:0,他引:1
Xiaohong Cao 《Journal of Mathematical Analysis and Applications》2008,342(1):477-484
When A∈B(H) and B∈B(K) are given, we denote by MC the operator acting on the infinite dimensional separable Hilbert space H⊕K of the form . In this paper, we prove that
4.
When A∈B(H) and B∈B(K) are given, we denote by MC the operator acting on the infinite dimensional separable Hilbert space H⊕K of the form . In this paper, it is shown that a 2×2 operator matrix MC is upper semi-Fredholm and ind(MC)?0 for some C∈B(K,H) if and only if A is upper semi-Fredholm and
5.
Janusz Matkowski 《Journal of Mathematical Analysis and Applications》2008,348(1):315-323
Let (Ω,Σ,μ) a measure space such that 0<μ(A)<1<μ(B)<∞ for some A,B∈Σ. Under some natural conditions on the bijective functions φ,φ1,φ2,ψ,ψ1,ψ2:(0,∞)→(0,∞) we prove that if
6.
Michael Larsen 《Journal of Number Theory》2003,101(2):398-403
Let A be an abelian variety over a number field K. If P and Q are K-rational points of A such that the order of the reduction of Q divides the order of the ) reduction of P for almost all prime ideals , then there exists a K-endomorphism φ of A and a positive integer k such that φ(P)=kQ. 相似文献
7.
When A∈B(H) and B∈B(K) are given, we denote by MC the operator acting on the Hilbert space H⊕K of the form . In this note, it is shown that the following results in [Hai-Yan Zhang, Hong-Ke Du, Browder spectra of upper-triangular operator matrices, J. Math. Anal. Appl. 323 (2006) 700-707]
8.
Let A=(A1,…,Am) be a sequence of finite subsets from an additive abelian group G. Let Σ?(A) denote the set of all group elements representable as a sum of ? elements from distinct terms of A, and set . Our main theorem is the following lower bound:
9.
Preservers of spectral radius, numerical radius, or spectral norm of the sum on nonnegative matrices
Chi-Kwong Li 《Linear algebra and its applications》2009,430(7):1739-1398
Let be the set of entrywise nonnegative n×n matrices. Denote by r(A) the spectral radius (Perron root) of . Characterization is obtained for maps such that r(f(A)+f(B))=r(A+B) for all . In particular, it is shown that such a map has the form
10.
Xiangling Zhu 《Applied mathematics and computation》2010,215(12):4340-4972
Let H(D) denote the class of all analytic functions on the open unit disk D of C. Let φ be an analytic self-map of D and u∈H(D). The weighted composition operator is defined by
11.
Kobi Snitz 《Journal of Number Theory》2007,122(2):429-465
This paper describes the lifting of automorphic characters of O(3)(A) to . It does so by matching the image of this lift with the lift of automorphic characters from O(1)(A) to . Our matching actually gives a matching of individual automorphic forms, and not just of representation spaces. Let V be a 3-dimensional quadratic vector space and U a certain 1-dimensional quadratic space. To an automorphic form IV(χ,φ) determined by the Schwartz function φ∈S(V(A)) in the lift of the character χ we match an automorphic form IU(μ,φ0) determined by the Schwartz function φ0∈S(U(A)) in the lift of the character μ. Our work shows that, the space U is explicitly determined by the character χ. The character μ is explicitly determined by the space V and the function φ0 is given by an orbital integral involving φ. 相似文献
12.
Francis Gardeyn 《Journal of Number Theory》2003,102(2):306-338
Let C be a smooth projective absolutely irreducible curve over a finite field , F its function field and A the subring of F of functions which are regular outside a fixed point ∞ of C. For every place ? of A, we denote the completion of A at ? by .In [Pi2], Pink proved the Mumford-Tate conjecture for Drinfeld modules. Let φ be a Drinfeld module of rank r defined over a finitely generated field K containing F. For every place ? of A, we denote by Γ? the image of the representation
13.
Mohammad Sal Moslehian 《Journal of Mathematical Analysis and Applications》2007,332(1):171-178
Let A be a Banach algebra, and let E be a weak Banach A-bimodule. An approximately intertwining mapping corresponding to a functional equation E(f)=0 is a mapping with f(0)=0 such that
‖E(f)‖?ε, 相似文献
14.
C. Angosto 《Topology and its Applications》2007,155(2):69-81
Given a metric space X and a Banach space (E,‖⋅‖) we study distances from the set of selectors Sel(F) of a set-valued map to the space B1(X,E) of Baire one functions from X into E. For this we introduce the d-τ-semioscillation of a set-valued map with values in a topological space (Y,τ) also endowed with a metric d. Being more precise we obtain that
15.
Let Mn(R) be the linear space of all n×n matrices over the real field R. For any A∈Mn(R), let ρ(A) and ‖A‖∞ denote the spectral radius and the infinity norm of A, respectively. By introducing a class of transformations φa on Mn(R), we show that, for any A∈Mn(R), ρ(A)<‖A‖∞ if . If A∈Mn(R) is nonnegative, we prove that ρ(A)<‖A‖∞ if and only if , and ρ(A)=‖A‖∞ if and only if the transformation φ‖A‖∞ preserves the spectral radius and the infinity norm of A. As an application, we investigate a class of linear discrete dynamic systems in the form of X(k+1)=AX(k). The asymptotical stability of the zero solution of the system is established by a simple algebraic method. 相似文献
16.
Vladimir Varlamov 《Journal of Mathematical Analysis and Applications》2007,327(2):1461-1478
Rayleigh functions σl(ν) are defined as series in inverse powers of the Bessel function zeros λν,n≠0,
17.
On an integral-type operator from iterated logarithmic Bloch spaces into Bloch-type spaces 总被引:1,自引:0,他引:1
Let H(B) denote the space of all holomorphic functions on the open unit ball B of Cn. Let φ=(φ1,…,φn) be a holomorphic self-map of B and g∈H(B) such that g(0)=0. In this paper we study the boundedness and compactness of the following integral-type operator, recently introduced by Xiangling Zhu and the second author
18.
For any numerical function we give sufficient conditions for resolving the controlled extension problem for a closed subset A of a normal space X. Namely, if the functions , and satisfy the equality E(f(a),g(a))=h(a), for every a∈A, then we are interested to find the extensions f? and ? of f and g, respectively, such that , for every x∈X. We generalize earlier results concerning E(u,v)=u·v by using the techniques of selections of paraconvex-valued LSC mappings and soft single-valued mappings. 相似文献
19.
Kazuki Cho 《Linear algebra and its applications》2009,431(8):1218-1222
Let φ be a positive linear functional on Mn(C) and f,g mutually conjugate in the sense of Young. In this note we show a necessary and sufficient condition for the inequality
20.
Justyna Jarczyk 《Journal of Mathematical Analysis and Applications》2009,353(1):134-96
Let I⊂R be a non-trivial interval and let . We present some results concerning the following functional equation, generalizing the Matkowski-Sutô equation,
λ(x,y)φ−1(μ(x,y)φ(x)+(1−μ(x,y))φ(y))+(1−λ(x,y))ψ−1(ν(x,y)ψ(x)+(1−ν(x,y))ψ(y))=λ(x,y)x+(1−λ(x,y))y, 相似文献