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arXiv:1310.8055 [math.FA]AbstractReferencesReviewsResources

Solution of Invariant Subspace Problem in the Hilbert space

Mübariz Garayev

Published 2013-10-30, updated 2013-11-01Version 2

By applying methods of Duhamel algebra and reproducing kernels, we prove that every linear bounded operator on the Hardy-Hilbert space H^{2}(D) has a nontrivial invariant subspace. This solves affirmatively the Invariant Subspace Problem in the Hilbert space.

Comments: Since the proof of Claim 1 contains a gap; I withdraw my manuscript from Arxiv
Categories: math.FA
Subjects: 47A12
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