  Infinite determinantal measures introduced in this note are inductive limits
of determinantal measures on an exhausting family of subsets of the phase
space. Alternatively, an infinite determinantal measure can be described as a
product of a determinantal process and a convergent, but not integrable,
multiplicative functional.
  Theorem 2, the main result announced in this note, gives an explicit
description for the ergodic decomposition of infinite Pickrell measures on the
spaces of infinite complex matrices in terms of infinite determinantal measures
obtained by finite-rank perturbations of Bessel point processes.
