ABSTRACT
To prove the reverse inclusion, consider the extension k of the operator K to the completion U®V of U ® V with respect to the weak crossnorm
Since this is a uniform crossnorm (see SCBATTEN [1950]), from the results of ISHINOSE [1978] we obtain the equalities
(14.31) O'(E) =O'(L) +O'(M)
and
(14.32) Together with (14.30) this gives
(14.33) u(K) \ ueb(K) ~ u(K) \ ([uebel) +u(M)]
u{u(L) +ueb(M)]} =u(K) \ uu(K).
