Search or add a thesis

Advanced Search (Beta)
Home > Pseudoresolvents and Semigroups

Pseudoresolvents and Semigroups

Thesis Info

Access Option

External Link

Author

Abdul Sami Awan

Program

PhD

Institute

Government College University

City

Lahore

Province

Punjab

Country

Pakistan

Thesis Completing Year

2004

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/handle/123456789/517

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676727044574

Similar


The notions of resolvent, pseudoresolvent and a few results along with some re- markable properties are recalled. A new concept, the L ∞ -type pseudoresolvent is introduced. The aim of this work is firstly to give a characterization theorem for L ∞ -type pseudoresolvents and for the generators of L ∞ -type pseudoresolvents. Moreover, the connection between the L ∞ -type pseudoresolvents and C 0 -equicontinuous semigroups is pointed out. Secondly, the main part of this work is devoted to approximation of pseudoresol- vents and their generators. If R n , R : Λ → L(X), n ≥ 1 are generated pseudoresol- vents and A n , A their generators, then it is investigated under which conditions A is approximated by A n and R is approximated by R n , n ≥ 1. In addition, the conditions under which a sequence of generated pseudoresolvents approximates a pseudoresolvent are given, and in this case the connection between generators is studied. In the last chapter we have proved a theorem of characterization for exponentially bounded semigroups. To any exponentially bounded semigroup we have associated a projective family of semigroups acting on Banach spaces.
Loading...
Loading...

Similar News

Loading...

Similar Articles

Loading...

Similar Article Headings

Loading...