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991.
We introduce a class of function algebras, that we call unimodular,
and study Toeplitz operators on the Hardy spaces associated to representing
measures on these algebras.We show that our class of function algebras is very
extensive and that a number of important results for Toeplitz operators and
their associated C*-algebras extend to the very general setting we consider.
Submitted: July 1. 2001. 相似文献
992.
Roger Nussbaum 《Integral Equations and Operator Theory》2001,39(1):41-97
LetC(S) denote the Banach space of continuous, real-valued mapsf:S and letA denote a positive linear map ofC(S) into itself. We give necessary conditions that the operatorA have a strictly positive periodic point of minimal periodm. Under mild compactness conditions on the operatorA, we prove that these necessary conditions are also sufficient to guarantee existence of a strictly positive periodic point of minimal periodm. We study a class of Perron-Frobenius operators defined by
and we show how to verify the necessary compactness conditions to apply our theorems concerning existence of positive periodic points.Partially supported by NSF DMS 97-06891 相似文献
993.
In this paper we introduce a class of operators naturally extending the classes of hyponormal and posinormal operators. For this class we construct a generating family of eigendistributions, unitary invariants and a functional model. 相似文献
994.
Components and isolated points of the topological space of composition operators onH
in the uniform operator topology are characterized. Compact differences of two composition operators are also characterized. With the aid of these results, we show that a component inC(H
) is not in general the set of all composition operators that differ from the given one by a compact operator.Supported by the Grant-in-Aid for Scientific Research (C), the Ministory of Education, Science and Culture, No. 09640218, and the Nippon Institute of Technology No. 111Supported by the Japan Society for the Promotion of Science 相似文献
995.
F. H. Sánchez C. Rodríguez Torres F. D. Saccone Alejandro Ayala 《Hyperfine Interactions》2001,133(1-4):33-40
In this work a practical method of fitting complex multiphase Mössbauer effect spectra is proposed. The task is simplified imposing specific restrictions to the analysing functions, which are appropriate for cases where the component phases spectra do not change substantially during the process under study. The ME spectra can be analysed using the phases subspectra, by defining only a reduced number of parameters. The constraints are equivalent to assume a Doppler velocity transformation v=(v–m)B
m0/B
m+m0 for each phase, where m and B
m are fitting parameters containing information on the phase mean isomer shift and hyperfine field and m0 and B
m0 their reference values. In this manner physically meaningful results are easy to obtain. The idea was applied to partially nitrogenated R2Fe17N
x
(R= Sm and Y) and partially hydrogen-decomposed Nd–Fe–B materials. 相似文献
996.
Consider the multi-homogeneous homotopy continuation method for solving a system of polynomial equations. For any partition of variables, the multi-homogeneous Bézout number bounds the number of isolated solution curves one has to follow in the method. This paper presents a local search method for finding a partition of variables with minimal multi-homogeneous Bézout number. As with any other local search method, it may give a local minimum rather than the minimum over all possible homogenizations. Numerical examples show the efficiency of this local search method.
997.
In the context of a complete simply connected Riemannian manifold of pinched negative curvature, we show that several families
of approach domains are equivalent for convergence to points of the boundary, and for the purposes of Hp-theory. 相似文献
998.
Ferenc Móricz 《Journal of Fourier Analysis and Applications》2001,7(6):601-614
A theorem of Fejér states that if a periodic function F is of bounded variation on the closed interval [0, 2π], then the nth
partial sum of its formally differentiated Fourier series divided by n converges to π-1[F(x+0)-F(x-0)] at each point x. The generalization of this theorem for Fourier-Stieltjes series of (nonperiodic) functions of bounded variation
is also well known.
The aim of the present article is to extend these results to the (m, n)th rectangular partial sum of double Fourier or Fourier-Stieltjes
series of a function F(x, y) of bounded variation over the closed square [0, 2π]×[0, 2π] in the sense of Hardy and Krause.
As corollaries, we also obtain the following results:
相似文献
(i) | The terms of the Fourier or Fourier-Stieltjes series of F(x, y) determine the atoms of the (periodic) Borel measure induced by (an appropriate extension of) F. |
(ii) | In the case of periodic functions F(x, y) of bounded variation, the class of double Fourier-Stieltjes series coincides with the class of series that can be obtained from their Fourier series by a formal termwise differentiation with respect to both x and y. |
999.
David E. Dobbs 《Rendiconti del Circolo Matematico di Palermo》2000,49(2):319-324
Résumé SoitR ⊂T une extension des anneaux commutatifs et soit {P
α :α ∈I} une cha?ne croissante des idéaux premiers deR (I étant un ensemble totalement ordonné, peut-être infini). Alors il existe un anneau de paravaluationV deT et une cha?ne {Q
α} des idéaux premiers deV de sorte queR ⊂V etQ
α ∩R =P
α pour toutα ∈I. Tout d’abord, on établit le cas spécial dans lequelT est un corps; dans ce cas, on trouve en effet un tel anneau de valuationV deT. Ensuite, l’assertion ci-dessus pour le cas général découle comme conséquence. Dans le cas général, on peut aussi remplacer
le mot “paravaluation” avec le mot “valuation” siR est un anneau de Marot etT est son anneau total de fractions.
相似文献
1000.
László Zsilinszky 《Rendiconti del Circolo Matematico di Palermo》2000,49(2):371-380
This is a continuation of [19]. We characterize first and second countability of the general hit-and-miss hyperspace topologyτ
+
Δ
for weakly-R
0 base spaces. Further, metrizability ofτ
+
Δ
is characterized with no preliminary conditions on the base space and the generating family of closed sets and a new proof
on uniformizability (i.e. complete regularity) ofτ
+
Δ
is given in this general setting, thus generalizing results of [3], [5] and [6]. 相似文献