Joint Browder spectrum

John J. Buoni, Artatrana Dash and Bhushan L. Wadhwa

Vol. 94 (1981), No. 2, 259–263

DOI: 10.2140/pjm.1981.94.259

Abstract

There exist in the literature many notions of joint spectra which have been then generalized to joint essential spectra and in some instances to joint Browder spectra. The purpose of this note is to develop a notion of joint Browder spectrum which uses ideas of Arveson and Waelbrook. It is shown that this notion of joint Browder spectrum has many of the useful properties of the Browder spectrum.

Mathematical Subject Classification 2000

Primary: 47A10

Milestones

Received: 12 July 1979

Revised: 30 May 1980

Published: 1 June 1981