Ideal structure of the algebra of bounded operators acting on a Banach space
Ideal structure of the algebra of bounded operators acting on a Banach space
We construct a Banach space Z such that the lattice of closed two-sided ideals of the Banach algebra B(Z) of bounded operators on Z is as follows:We then determine which kinds of approximate identities (bounded/left/right), if any, each of the four non-trivial closed ideals of B(Z) contains, and we show …