ON CHARACTERIZATION OF u - IDEALS DETERMINED BY SEQUENCES
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Abstract
The area of ideals is important in the study of Analysis, algebra, Geometry and Computer science. The various types of ideals have been studied, for example  ideals and  ideals. The  ideals defined on real Banach spaces are referred to as - ideals. The natural examples of - ideals with respect to their biduals, are order continuous Banach lattices. Using the approximation property, we shall study properties of - ideals and their characterization. We define the set of compact operators   on  to be - ideals given that  is a separable reflexive Banach space with approximation property if and only if there is a sequence  of finite rank of operators with     and . We shall show that -ideals containing no copies of sequences  are strict - ideals.
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Mathematics Subject classification: 47B10; 46B10; 46A25
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