Interpolation between Schatten classes

I was wondering if there is an analogue to the classical Riesz Thorin theorem for Schatten classes. I suppose the answer is yes, since Schatten classes are so similar to $\ell^p$ spaces for which the theorem holds. However, I could not find a reference online. In particular, does one have to take the bounded or compact operators as the infinity space when interpolating?- I suppose bounded ones as they are the dual of the trace-class operators which fits to $(L^1 )'=L^{\infty}.$

A Riesz-Thorin interpolation theorem (and a Marcinkiewicz one) is known to hold for Schatten classes (with the case $p=\infty$ corresponding to the compact operators, think of the canonical duality $c_0' = \ell^1$): cf. [1, Thm. 13.1], [2, Thms. 2.9-10] and [2, Remark 1 on p. 23].