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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Invariant subspace, Banach space

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Rocky Mountain J. Math., 40(2010), 627--641

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Uniwersytet im. Adama Mickiewicza w Poznaniu
Biblioteka Uniwersytetu im. Adama Mickiewicza w Poznaniu
Ministerstwo Nauki i Szkolnictwa Wyższego