Journal of Operator Theory

Volume 37, Issue 2, Spring 1997 pp. 303-309.

On criss-cross commutativity

Authors: Robin Harte
Author institution:Department of Mathematics, Trinity College, Dublin 2, IRELAND

Summary: Equality of the non zero spectrum of products ab and ba of Banach algebra elements extends to many different kinds of joint spectrum for “criss-cross commuting” pairs of tuples.

Keywords: Criss-cross commutativity, spectrum, exactness.

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