geometrical theory of linear operators in Banach spaces, absolutely summing and nuclear operators, bases and approximation
conditions in normed spaces, tensor products of operators, vector measures,
geometry of locally convex spaces, spectral theory.
Main publications:
O.I. Reinov, “Operatory tipa RN v banakhovykh prostranstvakh”, Doklady AN SSSR, 220:3 (1975), 528–531
O.I. Reinov, “Svoistva approksimatsii poryadka $p$ i suschestvovanie ne $p$-yadernykh
operatorov s $p$-yadernymi vtorymi sopryazhennymi”, Doklady AN SSSR, 256:1 (1981), 43–47
O.I. Reinov, “Un contre-exemple a une conjecture de A. Grothendieck”, C. R. Acad. Sc. Paris., Serie I, 296 (1983), 597–599
J. Bourgain, O.I. Reinov, “On the approximation properties for the space $H^\infty$”, Math. Nachr., 122 (1985), 19–27
O. Reinov, Q. Latif, “Grothendieck-Lidskii theorem for subspaces of $L_p$-spaces”, Math. Nachr., 286:2-3 (2013), 279–282
