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

Ключові слова:

Banach spaces, narrow operators, Bochner spaces.

Анотація

Narrow operators on L1(m, X)-spaces are studied. We present a sufficient criterion for such an operator to be narrow that resembles the characterization on narrow operators on L1(m) and show that the criterion is necessary for certain X, e.g., for spaces with the RNP.

Mathematics Subject Classification: 46B04 (primary); 46E40, 47B07 (secondary).

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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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