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.