<p>The paper is devoted to studies on exact and approximate smoothness in normed linear spaces. In particular, we develop the concept of approximate smoothness and present some of its new properties and characterizations. We pay a special attention to spaces of linear bounded operators on Banach and Hilbert spaces.</p>

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Smoothness and approximate smoothness in normed linear spaces and operator spaces

  • Jacek Chmieliński,
  • Souvik Ghosh,
  • Kallol Paul,
  • Debmalya Sain

摘要

The paper is devoted to studies on exact and approximate smoothness in normed linear spaces. In particular, we develop the concept of approximate smoothness and present some of its new properties and characterizations. We pay a special attention to spaces of linear bounded operators on Banach and Hilbert spaces.