Note on the joint spectrum of the Wiener-Hopf operators

Janas, Jan

doi:10.1090/S0002-9939-1975-0374977-2

Note on the joint spectrum of the Wiener-Hopf operators
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Proc. Amer. Math. Soc. 50 (1975), 303-308 Request permission

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.

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