  In the paper it is demonstrated that the Schwarzschild black-hole quantum
entropy computed within the scope of the Generalized Uncertainty Principle has
a nonzero minimum under the assumption that for a radius of the black hole the
lower limit is placed, whose value is twice the minimal length. Such a limit is
quite natural when using, as a proper deformation parameter in a quantum theory
with a minimal length, the dimensionless small parameter introduced previously
by one of the authors in co-authorship with his colleagues and caused by
modification of the density matrix at Planck scales. The results obtained have
been compared to the results of other authors and analyzed from the viewpoint
of their compatibility with the well-known facts and the holographic principle
in particular.
