Complemented Subspaces of Bounded Linear Operators

For many years mathematicians have been interested in the problem of whether an operator ideal is complemented in the space of all bounded linear operators. In this dissertation the complementation of various classes of operators in the space of all bounded linear operators is considered. This paper begins with a preliminary discussion of linear bounded operators as well as operator ideals. Let L(X, Y ) be a Banach space of all bounded linear operator between Banach spaces X and Y , K(X, Y ) be the space of all compact operators, and W(X, Y ) be the space of all weakly compact operators. We denote space all operator ideals by O.

Grantor dc:publisher

University of North Texas

Year dc:date

2003

Author dc:creator

• Bahreini Esfahani, Manijeh

Contributors dc:contributor

• Bator, Elizabeth M.
• Lewis, Paul
• Iaia, Joseph

• Linear operators.
• Banach spaces.
• complemented subspaces
• compact operators
• linear operators
• operator ideal

Statement dc:rights

• Public
• Copyright
• Bahreini Esfahani, Manijeh
• Copyright is held by the author, unless otherwise noted. All rights reserved.

Language dc:language

English

Identifier

oclc: 53451600
https://digital.library.unt.edu/ark:/67531/metadc4349/
ark: ark:/67531/metadc4349

OAI identifier oai:identifier

info:ark/67531/metadc4349