Ideal Structure of the Algebra of Bounded Operators Acting on a Banach Space

@inproceedings{KANIA2015IdealSO,
  title={Ideal Structure of the Algebra of Bounded Operators Acting on a Banach Space},
  author={TOMASZ KANIA and N. J. Laustsen},
  year={2015}
}
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: {0} ⊂ K (Z) ⊂ E (Z) ⊂ ⊂ M1 M2 ⊂ ⊂ 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 that the maximal… CONTINUE READING