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math.FA2026
On the solution of Kim, Pearcy and Shields problem and its consequences
Mubariz T. Garayev
We give a negative answer to a question due to Kim, Pearcy and Shields, namely, we prove that every nonscalar bounded linear operator on a Hilberts space belongs to t…
math.FA2021
Reverse inequalities for the Berezin number of operators
Mubariz Garayev, Hocine Guediri, Najla Altwaijry
For a bounded linear operator on a reproducing kernel Hilbert space , with normalized reproducing kernel , the Ber…
math.FA2013
Solution of Invariant Subspace Problem in the Hilbert space
Mübariz Garayev
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.…