An explicit example concernig the invariant subspace problem for Banach spaces
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Date
2010-04
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Rocky Mountain Mathematics Consortium
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Abstract
We simplify the negative solution to the invariant subspace problem for Banach spaces. Developing the ideas of Read we give an explicit example of a continuous linear operator on the Banach space of all absolute summable scalar sequences without nontrivial closed invariant subspaces
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Keywords
Invariant subspace, Banach space
Citation
Rocky Mountain J. Math., 40(2010), 627--641