Complemented Subspaces of Bounded Linear Operators

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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 ... continued below

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Bahreini Esfahani, Manijeh August 2003.

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  • Bahreini Esfahani, Manijeh

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Description

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.

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  • August 2003

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  • Feb. 15, 2008, 2:48 p.m.

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  • Feb. 21, 2008, 1:34 p.m.

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Bahreini Esfahani, Manijeh. Complemented Subspaces of Bounded Linear Operators, dissertation, August 2003; Denton, Texas. (digital.library.unt.edu/ark:/67531/metadc4349/: accessed March 28, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; .