Complex sentence: One can view certain classes of bounded operators as noncommutative analogue of classical sequence spaces, with trace-class operators as the noncommutative analogue of the sequence space "l" 1 (N).
Split into simpler sentences: One can view certain classes of bounded operators as noncommutative analogue of classical sequence spaces. Trace-class operators as noncommutative analogue of the sequence space "l" 1 (N).