Note on the joint spectrum of the Wiener-Hopf operators

Abstract

J. Bunce has given [2] the definition of a joint approximate point spectrum of $p$-tuples of commuting operators in a complex Hilbert space. A. T. Dash after presentation of another type of a joint spectrum, has found this joint spectrum for $p$-tuples of analytic Toeplitz operators [4]. In this paper we will find a joint approximate point spectrum of $p$-tuples of noncommuting selfadjoint Wiener-Hopf operators and prove an inclusion for a joint spectrum of analytic matrix Toeplitz operators.