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article · Canadian Mathematical Bulletin

Some characterizations of unbounded Dunford–Pettis operators

Abstract

Abstract We give some characterizations of $\sigma $ -unbounded Dunford–Pettis operators (whenever $x_{n}\overset {uaw}{\longrightarrow } 0$ implies that $T(x_{n})\overset {un}{\longrightarrow } 0$ ). In addition, we study some properties of this operator, some other interesting results are also obtained.

Research topics

  • Holomorphic and Operator Theory
  • Approximation Theory and Sequence Spaces
  • Advanced Banach Space Theory

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DOI: 10.4153/s0008439525101185

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