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An Equivalent Property in Banach Space

Huang Xun-cheng

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Abstract

We study an equivalent property in Banach space and it is proved that under certain conditions the representability of a linear operator in Banach space can be derived by the Radon-Nikodym property. This result gives us a new idea in studying the operators in Banach space.

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What this paper is about

We study an equivalent property in Banach space and it is proved that under certain conditions the representability of a linear operator in Banach space can be derived by the Radon-Nikodym property. This result gives us a new idea in studying the operators in Banach space.

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Available abstract

We study an equivalent property in Banach space and it is proved that under certain conditions the representability of a linear operator in Banach space can be derived by the Radon-Nikodym property. This result gives us a new idea in studying the operators in Banach space.

Key concepts: Approximation property, Banach space, Infinite-dimensional vector function, Mathematics, C0-semigroup, Property (philosophy), Banach manifold, Operator space

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