Lyapunov theorems for Banach spaces

MOspace/Manakin Repository

Breadcrumbs Navigation

Lyapunov theorems for Banach spaces

Please use this identifier to cite or link to this item: http://hdl.handle.net/10355/9833

[+] show full item record


Title: Lyapunov theorems for Banach spaces
Author: Montgomery-Smith, Stephen, 1963-; Latushkin, Yuri, 1956-
Keywords: Hyperbolicity
Evolution family
Weighted composition operators
Date: 2011-02-04
Abstract: We present a spectral mapping theorem for semigroups on any Banach space E. From this, we obtain a characterization of exponential dichotomy for nonautonomous differential equations for E-valued functions. This characterization is given in terms of the spectrum of the generator of the semigroup of evolutionary operators.
URI: http://hdl.handle.net/10355/9833

This item appears in the following Collection(s)

  • Mathematics publications (MU) [119]
    The items in this collection are the scholarly output of the faculty, staff, and students of the Department of Mathematics.

[+] show full item record