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• W3048355564 abstract "The invariant subspace problem is a well known unsolved problem in funtional analysis. While many partial results are known, the general case for complex, infinite dimensional separable Hilbert spaces is still open. It has been shown that the problem can be reduced to the case of operators which are norm limits of nilpotents. One of the most important subcases is the one of quasinilpotent operators, for which the problem has been extensively studied for many years. In this paper, we will prove that every quasinilpotent operator has a nontrivial invariant subspace. This will imply that all the operators for which the ISP has not been established yet are norm-limits of operators having nontrivial invariant subspaces." @default.
• W3048355564 created "2020-08-13" @default.
• W3048355564 creator A5014627791 @default.
• W3048355564 date "2020-07-26" @default.
• W3048355564 modified "2023-09-27" @default.
• W3048355564 title "Quasinilpotent operators on separable Hilbert spaces have nontrivial invariant subspaces" @default.
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• W3048355564 hasPublicationYear "2020" @default.
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