Geodesic
Continuity of operators in the spaces of vectorvalued functions with applications to the bases theory
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XVI, Tome 157 (1987), pp. 5-22
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Banach spaces with unconditional martingale property are investigated. Some new results about the bases in the spaces $E(X)$ where $E$ is a rearrangement invariant Banach function space and $X$ is a Banach space, are obtained. 
@article{ZNSL_1987_157_a0,
     author = {A. V. Bukhvalov},
     title = {Continuity of operators in the spaces of vectorvalued functions with applications to the bases theory},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {5--22},
     year = {1987},
     volume = {157},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1987_157_a0/}
}
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A. V. Bukhvalov. Continuity of operators in the spaces of vectorvalued functions with applications to the bases theory. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XVI, Tome 157 (1987), pp. 5-22. http://geodesic.mathdoc.fr/item/ZNSL_1987_157_a0/