Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 32 Issue 2
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- Pages.205-209
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- 1995
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
NEAR DUNFORD-PETTIS OPERATORS AND NRNP
- Kim, Young-Kuk (Department of Mathematics Education, Seowon University, Chongju 360-742)
- Published : 1995.08.01
Abstract
Throughout this paper X is a Banach space and $\mu$ is the Lebesgue measure on [0, 1] and all operators are assumed to be bounded and linear. $L^1(\mu)$ is the Banach space of all (classes of) Lebesgue integrable functions on [0, 1] with its usual norm. Let $T : L^1(\mu) \to X$ be an operator.