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11.
12.
D. V. Osin 《Functional Analysis and Its Applications》2002,36(4):290-297
Let H be an infinite hyperbolic group with Kazhdan property (T) and let (H,X) denote the Kazhdan constant of H with respect to a generating set X. We prove that infX(H,X)=0, where the infimum is taken over all finite generating sets of H. In particular, this gives an answer to a Lubotzky question. 相似文献
13.
Belmesnaoui Aqzzouz 《Applied Categorical Structures》2002,10(6):603-616
We define the -product of a -space by a quotient Banach space. We give conditions under which this -product will be monic. Finally, we define the
c
-product of a Schwartz b-space by a quotient Banach space and we give some examples of applications. 相似文献
14.
Charalambos Charitos Georgios Tsapogas 《Transactions of the American Mathematical Society》2002,354(1):235-264
If is a proper -space and a non-elementary discrete group of isometries acting properly discontinuously on it is shown that the geodesic flow on the quotient space is topologically mixing, provided that the generalized Busemann function has zeros on the boundary and the non-wandering set of the flow equals the whole quotient space of geodesics (the latter being redundant when is compact). Applications include the proof of topological mixing for (A) compact negatively curved polyhedra, (B) compact quotients of proper geodesically complete -spaces by a one-ended group of isometries and (C) finite -dimensional ideal polyhedra.
15.
M. Filali 《Proceedings of the American Mathematical Society》1999,127(8):2325-2333
Let be a locally compact group, let be its group algebra, let be its usual measure algebra, let be the second dual of with an Arens product, and let be the conjugate of the space of bounded, left uniformly continuous, complex-valued functions on with an Arens-type product. We find all the finite-dimensional left ideals of these algebras. We deduce that such ideals exist in and if and only if is compact, and in (except those generated by right annihilators of ) and if and only if is amenable.
16.
Miodrag Zivkovic. 《Mathematics of Computation》1999,68(225):403-409
For a positive integer let and let . The number of primes of the form is finite, because if , then is divisible by . The heuristic argument is given by which there exists a prime such that for all large ; a computer check however shows that this prime has to be greater than . The conjecture that the numbers are squarefree is not true because .
17.
M. W. Müller 《Journal of Computational Analysis and Applications》2001,3(3):207-222
The optimal degree of approximation of the method of Gammaoperators G
n in L
p spaces is O(n
-1). In order to obtain much faster convergence, quasi-interpolants G
n
(k)
of G
n in the sense of Sablonnière are considered. We show that for fixed k the operator-norms G
n
(k)
p are uniformly bounded in n. In addition to this, for the first time in the theory of quasi-interpolants, all central problems for approximation methods (direct theorem, inverse theorem, equivalence theorem) could be solved completely for the L
p metric. Left Gamma quasi-interpolants turn out to be as powerful as linear combinations of Gammaoperators [6]. 相似文献
18.
Zhiguo Hu 《Proceedings of the American Mathematical Society》2000,128(8):2473-2478
Let be a locally compact group and let denote the -algebra generated by left translation operators on . Let and be the spaces of almost periodic and weakly almost periodic functionals on the Fourier algebra , respectively. It is shown that if contains an open abelian subgroup, then (1) if and only if is norm dense in ; (2) is a -algebra if is norm dense in , where denotes the set of elements in with compact support. In particular, for any amenable locally compact group which contains an open abelian subgroup, has the dual Bohr approximation property and is a -algebra.
19.
Oscar Valero 《Proceedings Mathematical Sciences》2008,118(2):245-254
A quasi-normed cone is a pair (X, p) such that X is a (not necessarily cancellative) cone and q is a quasi-norm on X. The aim of this paper is to prove a closed graph and an open mapping type theorem for quasi-normed cones. This is done with
the help of appropriate notions of completeness, continuity and openness that arise in a natural way from the setting of bitopological
spaces. 相似文献
20.
The noncommutative Singer-Wermer conjecture states that every linear (possibly unbounded) derivation on a (possibly noncommutative) Banach algebra maps into its Jacobson radical. This conjecture is still an open question for more than thirty years. In this paper we approach this question via linear left θ-derivations. 相似文献