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A survey of the Kreiss matrix theorem for power bounded families of matrices and its extensions

1997; Institute of Mathematics, Polish Academy of Sciences; Volume: 38; Issue: 1 Linguagem: Inglês

10.4064/-38-1-339-360

1730-6299

John C. Strikwerda, Bruce A. Wade,

Holomorphic and Operator Theory

We survey results related to the Kreiss Matrix Theorem, especially examining extensions of this theorem to Banach space and Hilbert space. The survey includes recent and established results together with proofs of many of the interesting facts concerning