Accession Number:

ADA172583

Title:

Convergence Theorems for Semi-Groups of Linear Operators of Class (1,A).

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Abdelaziz,Nazar H.

Report Date:

1986-07-01

Pagination or Media Count:

22.0

Abstract:

The subject of approximation of semi-groups of operators has been studied by a many authors under the assumption that the sequence of semi-groups Tnt is uniformly bounded for all values of the parameter in the sense that T sub nt or M, where M is independent of n and t. In particular this has restricted the results to semi-groups of class sub o. The purpose of this paper is to investigate this problem for a more general class of semi-groups, namely the class 1,A and thereby generalize some results of Trotter, Kurtz and Kato. Keywords Banach space.

Descriptors:

• *CONVERGENCE
• *GROUPS(MATHEMATICS)
• LINEAR SYSTEMS
• APPROXIMATION(MATHEMATICS)
• OPERATORS(MATHEMATICS)
• THEOREMS
• BANACH SPACE

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE