Abstract:
A complete solution is given for the problem of describing the functor dual to a functor generated by a space of measurable vector-valued functions, and also for the problem of describing the rings of operators in these functors.
Bibliography: 24 titles.
\Bibitem{Buk75}
\by A.~V.~Bukhvalov
\paper On the duality of functors generated by spaces of vector-valued functions
\jour Math. USSR-Izv.
\yr 1975
\vol 9
\issue 6
\pages 1213--1240
\mathnet{http://mi.mathnet.ru/eng/im2092}
\crossref{https://doi.org/10.1070/IM1975v009n06ABEH001519}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=405125}
\zmath{https://zbmath.org/?q=an:0319.46058}
Linking options:
https://www.mathnet.ru/eng/im2092
https://doi.org/10.1070/IM1975v009n06ABEH001519
https://www.mathnet.ru/eng/im/v39/i6/p1284
This publication is cited in the following 3 articles:
Jan van Neerven, Mark Veraar, Lutz Weis, “On the R R -boundedness of stochastic convolution operators”, Positivity, 19:2 (2015), 355
A. V. Bukhvalov, A. I. Veksler, G. Ya. Lozanovskii, “Banach lattices – some Banach aspects of their theory”, Russian Math. Surveys, 34:2 (1979), 159–212
A. V. Bukhvalov, “Supplement to the paper “On the duality of functors generated by spaces of vector-valued functions””, Math. USSR-Izv., 13:2 (1979), 215–219
Citation in format AMSBIB
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