@article{1200.47050,
author="Zagorodnyuk, Sergey M.",
title="{On a $J$-polar decomposition of a bounded operator and matrices of
    $J$-symmetric and $J$-skew-symmetric operators.}",
language="English",
journal="Banach J. Math. Anal. ",
volume="4",
number="2",
pages="11-36",
year="2010",
abstract="{The author considers the classes of $J$-symmetric operators and
    $J$-selfadjoint operators on a Hilbert space with respect to an antilinear
    involution $J$, as well as various related classes. These classes should not
    be confused with the similar classes of operators on a Krein or Pontryagin
    space. Some specific features of matrix representations of $J$-symmetric and
    $J$-skew-symmetric operators are studied. The main result of the paper
    provides conditions under which a bounded linear operator can be represented
    as a product of a $J$-unitary operator and a $J$-selfadjount one. A good
    bibliography concerning operators on spaces with an antilinear involution is
    given.}",
reviewer="{Anatoly N. Kochubei (Ky\"\i v)}",
keywords="{$J$-symmetric operator; $J$-skew-symmetric operator; polar
    decomposition; matrix of an operator}",
classmath="{*47B99 (Special classes of linear operators)
15B99 ( )
}",
}