Speaker
Vladimir Müller
(Mathematical Institute, Czech Academy of Sciences)
Description
We show that a Hilbert space bounded linear operator has an m-isometric lifting for some integer $m \ge 1$ if and only if the norms of its powers grow polynomially.
In analogy with unitary dilations of contractions, we prove that such operators also have an invertible m-isometric dilation. Joint work with C. Badea and L. Suciu.
Primary author
Vladimir Müller
(Mathematical Institute, Czech Academy of Sciences)