Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897840 | Linear Algebra and its Applications | 2018 | 14 Pages |
Abstract
Let Ω be a compact subset of the complex plane such that its complement is simply connected in the extended complex plane. Suppose A is a linear bounded operator in a Hilbert space, with spectrum Ï(A)âΩ. If Ω is symmetric with respect to the real line and f is a Markov function, we show thatâf(A)ââ¤eCK(Ω)âfâΩ, where K(Ω) is the Kreiss constant with respect to Ω and C is a constant. We also present other extensions of the Kreiss Matrix Theorem to arbitrary holomorphic functions.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Samir Raouafi,