English

Solution of Invariant Subspace Problem in the Hilbert space

Functional Analysis 2013-11-04 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1310.8055,
  title  = {Solution of Invariant Subspace Problem in the Hilbert space},
  author = {Mübariz Garayev},
  journal= {arXiv preprint arXiv:1310.8055},
  year   = {2013}
}

Comments

Since the proof of Claim 1 contains a gap; I withdraw my manuscript from Arxiv

R2 v1 2026-06-22T01:57:10.877Z