A local characterization of Banach lattices with order continuous norm
S. Bernau, H. Lacey (1976)
Studia Mathematica
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Displaying similar documents to “Resolving Banach spaces”
A local characterization of Banach lattices with order continuous norm
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In general, little is known about the lattice of closed ideals in the Banach algebra ℬ(E) of all bounded, linear operators on a Banach space E. We list the (few) Banach spaces for which this lattice is completely understood, and we give a survey of partial results for a number of other Banach spaces. We then investigate the lattice of closed ideals in ℬ(F), where F is one of Figiel's reflexive Banach spaces not isomorphic to their Cartesian squares. Our main result is that this lattice...
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