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2000•Journal of Zhejiang University(Sciences Edition)Requires access

On the approxim ate property and localizing property of bounded linear operators on L~1(μ)

Zhenjie Hong

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Abstract

In this paper,it was shown that compactness,weakly compactness,dentability and Riesz representability of bounded linear operators from Banach spaces L1( μ) to Banach spaces X are eauivalant each other in approxim ation and localization senses.

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What this paper is about

In this paper,it was shown that compactness,weakly compactness,dentability and Riesz representability of bounded linear operators from Banach spaces L1( μ) to Banach spaces X are eauivalant each other in approxim ation and localization senses.

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Available abstract

In this paper,it was shown that compactness,weakly compactness,dentability and Riesz representability of bounded linear operators from Banach spaces L1( μ) to Banach spaces X are eauivalant each other in approxim ation and localization senses.

Key concepts: Compact space, Bounded function, Property (philosophy), Approximation property, Mathematics, Banach space, Bounded operator, Operator theory

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