Abstract/Details

On operators of monotone type in Banach spaces

Guan, Zhengyuan. 
 University of South Florida ProQuest Dissertations Publishing,  1990. 9101605.

Abstract (summary)

In this dissertation we are investigating two types of problems. The first type involves the ranges of operators of monotone type which map reflexive Banach spaces into their duals. The main method here is degree theory. Recent results of Berkovits, Berkovits and Mustonen, and Schoneberg are extended and/or improved.

The second type involves the solvability of the equation: $Au - Tu$ + $Cu$ = $f$ under various assumptions of monotonicity and compactness on the operators A, T, and C. Our results extend and/or improve results obtained by Kesavan, Kartsatos and Mabry, and Milojevic.

Indexing (details)


Subject
Mathematics
Classification
0405: Mathematics
Identifier / keyword
Pure sciences; monotone
Title
On operators of monotone type in Banach spaces
Author
Guan, Zhengyuan
Number of pages
65
Degree date
1990
School code
0206
Source
DAI-B 51/11, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
979-8-207-51749-0
Advisor
Kartsatos, Athanassios G.
University/institution
University of South Florida
University location
United States -- Florida
Degree
Ph.D.
Source type
Dissertation or Thesis
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
9101605
ProQuest document ID
303848621
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
https://www.proquest.com/docview/303848621