ANNOUNCEMENT

On November 15, 2022 at 10:15 a.m., a scientific seminar will be held at the Faculty of Mechanics and Mathematics in room 506. At the seminar, Associate Professor of the Department of Theory of  Functions and Functional Analysis, Doctor of  Mathematical Sciences Migdad Imdad oglu Ismayilov will make a presentation on the topic “Defective basis for systems of weight exponentials and trigonometric sines and cosines in Grand Lebesgue spaces”.

The report will present information about the completeness, minimality, and basis property of systems of weight exponentials and trigonometric sines and cosines in subspaces generated by the Lebesgue grand space shift operator. Here we present theorems on necessary and sufficient conditions for the completeness and minimality of a system obtained after removing an arbitrary element from the mentioned systems. It is shown that the system obtained after removing an arbitrary element from the systems of weight exponents and trigonometric sines and cosines does not form a basis in the subspace generated by the shift operator of Lebesgue grand spaces.