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In this paper, we continue Curto-Hwang-Lee's work to study the connectionbetween hyponormality and subnormality for block Toeplitz operators acting onthe vector-valued Hardy space of the unit circle.Curto-Hwang-Lee's work focusesprimarily on hyponormality and subnormality of block Toeplitz operators withrational symbols. By studying the "weak" commutativity, we extendCurto-Hwang-Lee's result to block Toeplitz operators with symbols of boundedtype.

Which hyponormal block Toeplitz operators are either normal or analytic?