Narrow Operators on Bochner L1-Spaces

Автор(и)

  • K. Boyko Department of Mechanics and Mathematics, V.N. Karazin Kharkov National University, 4 Svobody Sq., Kharkov, 61077, Ukraine
  • V. Kadets Department of Mechanics and Mathematics, V.N. Karazin Kharkov National University, 4 Svobody Sq., Kharkov, 61077, Ukraine
  • D. Werner Department of Mathematics, Freie Universität Berlin, Arnimallee 2-6, D-14 195 Berlin, Germany

Анотація

Narrow operators on  $L_1(\mu,X)$-spaces are studied. We present a sufficient criterion for such an operator to be narrow that resembles the characterization on narrow operators on $L_1(\mu)$ and show that the criterion is necessary for certain $X$, e.g., for spaces with the RNP.

Mathematics Subject Classification: 46B04, 46E40, 47B07.

Ключові слова:

Banach spaces, narrow operators, Bochner spaces.

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Як цитувати

(1)
Boyko, K.; Kadets, V.; Werner, D. Narrow Operators on Bochner L1-Spaces. Журн. мат. фіз. анал. геом. 2006, 2, 358-371.

Номер

Том 2 № 4 (2006)

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