High order isometric liftings and dilations

3 Jul 2021, 15:15
40m

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)

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