Expansive automorphisms of Banach spaces

Murray Eisenberg and James Howard Hedlund

Vol. 34 (1970), No. 3, 647–656

DOI: 10.2140/pjm.1970.34.647

Abstract

This paper treats two classes of invertible bounded linear operators on Banach spaces—expansive and uniformly expansive automorphisms—which include the hyperbolic automorphisms. Conditions for an automorphism to be expansive or uniformly expansive are given in terms of the location of its spectrum and approximate point spectrum with respect to the unit circle.

Mathematical Subject Classification

Primary: 47.10

Milestones

Received: 7 February 1970

Published: 1 September 1970