Pointwise Saturation Theorem of Bi-Continuous Semigroups

Cang Chen

doi:10.4028/www.scientific.net/AMM.687-691.1612

Paper Titles

Research on Modification Algorithm of Cubic B-Spline Curve Interpolation Technology
p.1596

Research on a Algorithm of Adaptive Interpolation for NURBS Curve
p.1600

Application of Rough Sets Theory in Graduate Enrollment
p.1604

A Dynamic Edge Exchanged Ant Colony Algorithm for TSP Problem
p.1608

Pointwise Saturation Theorem of Bi-Continuous Semigroups
p.1612

The Growth of a Cosine Function Characterized by its Cogenerator
p.1616

The Application of MATLAB Simulation Technology on Evolutionary Game Analysis
p.1619

Scheme Automatic Generation Based on Full Life Cycle Assessment Gene Model of Structure
p.1622

Realization of RBF Neural Network with Local and Semi-Local Transfer Function Approximation and Classification
p.1628

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 687-691Pointwise Saturation Theorem of Bi-Continuous...

Pointwise Saturation Theorem of Bi-Continuous Semigroups

Abstract:

By means of Riemann-Stieltjes stochastic process, moment-generating functions and operator-Valued mathematical expectation,the problem of probabilistic approximation for bi-continuous semigroups was studied and the saturation theorem of probabilistic representations of semigroups are obtained .

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volumes 687-691)

Pages:

1612-1615

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.687-691.1612

Citation:

Cite this paper

Online since:

November 2014

Authors:

Cang Chen

Keywords:

Bi-Continuous Semigroups, Pointwise Saturation, Probabilistic Representations

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] E. Hille. Representation of One-parameter Semigroups of Linear Transformations. Proc. Nat. Acad. Sci. U. S. A., 1942, 28: 175-178.

DOI: 10.1073/pnas.28.5.175

Google Scholar

[2] K. Yosida. On the Di_erentiability and Representation of One-Parameter Semigroups of LinearOperators. J. Math. Soc. Japan., 1948, 1: 15-21.

Google Scholar

[3] KUHNEMUND. A hille-yosida theorem for bi-continuous semigroups. Semigroup Forum, 2003, 67: 205-225.

DOI: 10.1007/s00233-002-5000-3

Google Scholar

[4] A. Albanese and E. Mangino. Trotter-Kato theorems for bi-continuous semigroups and applica-tions to Feller semigroups. J. Math. Anal. Appl., 2003, 289: 477-492.

DOI: 10.1016/j.jmaa.2003.08.032

Google Scholar

[5] F. Khnemund and J. van Neerven. A Lie-Trotter product formula for Ornstein-Uhlenbeck semigroups in in_nite dimensions. J. Evol. Equ., 2004, 4: 53-73.

DOI: 10.1007/s00028-003-0078-y

Google Scholar

[6] JARA P. Rational approximation schemes for bi-continuous semigroups. Journal of Mathematical Analysis and Applications, 2008, 344: 956-968.

DOI: 10.1016/j.jmaa.2008.02.068

Google Scholar

[7] PFEIFER D. Approximation-theoretic aspects of probabilistic representations for operator semigroups. Journal of Approximation Theory, 1985, 43: 271-296.

DOI: 10.1016/0021-9045(85)90103-0

Google Scholar