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@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} }

- Published 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

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