31 Oct
2013
31 Oct
'13
2:22 p.m.
This is an announcement for the paper "Solution of invariant subspace problem in the Hilbert space" by Mubariz Garayev.
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.
Archive classification: math.FA
Mathematics Subject Classification: 47A12
Submitted from: mgarayev@ksu.edu.sa
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1310.8055
or