A comparison algebra on a cylinder with semi-periodic multiplications

Severino Toscano do Rego Melo

Vol. 146 (1990), No. 2, 281–304

DOI: 10.2140/pjm.1990.146.281

Abstract

A necessary and sufficient Fredholm criterion is found for a C^∗-algebra of bounded operators on a cylinder, which contains operators of the form LΛ^M, where Λ = (1 − Δ)^−1∕2 and L is an M-th order differential operator whose coefficients are periodic at infinity.

Mathematical Subject Classification 2000

Primary: 47G30

Secondary: 46L99, 47A53, 47F05, 58G99, 47D25

Milestones

Received: 26 September 1988

Published: 1 December 1990