2007Yunnan Daxue xuebao. Shehui kexue banRequires access

About compact operator of normed space

Cheng Feng

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Abstract

The compact operator of Banach space and compact operator of normed space are introduced,and the following results are proved:the value field of compact operator must be dividable,finite rank operators are all compact operators.Some propositions about compact operator are introduced,some theorems about the compact operator of normed space and some compact operator of Banach space are proved.

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The compact operator of Banach space and compact operator of normed space are introduced,and the following results are proved:the value field of compact operator must be dividable,finite rank operators are all compact operators.Some propositions about compact operator are introduced,some theorems about the compact operator of normed space and some compact operator of Banach space are proved.

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Available abstract

The compact operator of Banach space and compact operator of normed space are introduced,and the following results are proved:the value field of compact operator must be dividable,finite rank operators are all compact operators.Some propositions about compact operator are introduced,some theorems about the compact operator of normed space and some compact operator of Banach space are proved.

Key concepts: Compact operator, Mathematics, Strictly singular operator, Compact operator on Hilbert space, Finite-rank operator, Approximation property, Operator (biology), Pseudo-monotone operator

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