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261.
Xiangfei Ni 《Semigroup Forum》2009,78(1):34-53
The concept of quasi-adequate transversals is introduced. Some properties and characterizations for abundant semigroups with
a multiplicative quasi-adequate transversal are obtained. In particular, a structure theorem for such abundant semigroups
is given. Finally, some special cases are considered.
This research was partially supported by the National Natural Science Foundation of China (No. 10571077) and the Natural Science
Foundation of Gansu Province (No. 3ZS052-A25-017). 相似文献
262.
263.
Let a
1,…,a
n
be relatively prime positive integers, and let S be the semigroup consisting of all non-negative integer linear combinations of a
1,…,a
n
. In this paper, we focus our attention on AA-semigroups, that is semigroups being generated by almost arithmetic progressions.
After some general considerations, we give a characterization of the symmetric AA-semigroups. We also present an efficient
method to determine an Apéry set and the Hilbert series of an AA-semigroup.
Dedicated to the memory of Ernst S. Selmer (1920–2006), whose calculations revealed the “Selmer group”. 相似文献
264.
N. A. Tserpes 《Semigroup Forum》2009,79(2):417-421
A unified definition of measure semigroup is given and it is shown how the types of invariance for the measure are formulated
and what effect they have on the embeddability of an Abelian semigroup in a group.
The online version of the original article can be found under doi:. 相似文献
265.
Robin Nittka 《Journal of Functional Analysis》2009,257(5):1429-1444
We consider the Laplacian ΔR subject to Robin boundary conditions on the space , where Ω is a smooth, bounded, open subset of RN. It is known that ΔR generates an analytic contraction semigroup. We show how this semigroup can be obtained from the Gaussian semigroup on C0(RN) via a Trotter formula. As the main ingredient, we construct a positive, contractive, linear extension operator Eβ from to C0(RN) which maps an operator core for ΔR into the domain of the generator of the Gaussian semigroup. 相似文献
266.
R. Radha 《Journal of Mathematical Analysis and Applications》2009,354(2):564-574
The images of Hermite and Laguerre-Sobolev spaces under the Hermite and special Hermite semigroups (respectively) are characterized. These are used to characterize the image of Schwartz class of rapidly decreasing functions f on Rn and Cn under these semigroups. The image of the space of tempered distributions is also considered and a Paley-Wiener theorem for the windowed (short-time) Fourier transform is proved. 相似文献
267.
For a class of quasifree quantum dynamical semigroups on the algebra of the canonical commutation relations (CCR) we give sufficient conditions for these semigroups to extend to ultraweakly continuous semigroups of normal operators on the von Neumann algebra associated with a representation of the CCR. Then the explicit form of the generators of the extended semigroups is calculated. 相似文献
268.
The problem whether Aluthge iteration of bounded operators on a Hilbert space H is convergent was introduced in [I. Jung, E. Ko, C. Pearcy, Aluthge transforms of operators, Integral Equations Operator Theory 37 (2000) 437-448]. And the problem whether the hyponormal operators on H with dimH=∞ has a convergent Aluthge iteration under the strong operator topology remains an open problem [I. Jung, E. Ko, C. Pearcy, The iterated Aluthge transform of an operator, Integral Equations Operator Theory 45 (2003) 375-387]. In this note we consider symbols with a fractional monotone property which generalizes hyponormality and 2-expansivity on weighted translation semigroups, and prove that if {St} is a weighted translation semigroup whose symbol has the fractional monotone property, then its Aluthge iteration converges to a quasinormal operator under the strong operator topology. 相似文献
269.
Toka Diagana 《Journal of Mathematical Analysis and Applications》2009,350(1):18-6548
This paper is concerned with the study of weighted pseudo almost periodic solutions to some classes of hyperbolic differential equations. Upon making some suitable assumptions, the existence and uniqueness of a weighted pseudo almost periodic solution is obtained. To illustrate our main result, we study the existence of a weighted pseudo almost periodic solution to a system of partial differential equations arising in control systems described by abstract retarded functional-differential equations with feedback control. 相似文献
270.
We introduce generalized Bessel and Riesz potentials on metric measure spaces and the corresponding potential spaces. Estimates
of the Bessel and Riesz kernels are given which reflect the intrinsic structure of the spaces. Finally, we state the relationship
between Bessel (or Riesz) operators and subordinate semigroups.
相似文献