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Joint spectra for commuting operators

Published online by Cambridge University Press:  20 January 2009

A. KällstrÖm  and
B.D. Sleeman
A. KällstrÖm
Affiliation:
Uppsala UniversityDepartment of Mathematics, Thunbergsvagen 3, S-752 38 UppsalaSweden
B.D. Sleeman
Affiliation:
Department of Mathematical SciencesThe UniversityDundee Dd1 4HnScotland, U.K.
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The theory of joint spectra for commuting operators in a Hilbert space has recently been studied by several authors (Vasilescu [11,12], Curto [4,5], and Cho-Takaguchi[2,3]). In this paper we willuse the definition by Taylor [10] of the joint spectrum to show that thejoint spectrum is determined by the action of certain "Laplacians"(cf. Curto [4,5]) of a chain-complex of Hilbert spaces.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 28 , Issue 2 , June 1985 , pp. 233 - 248
Copyright
Copyright © Edinburgh Mathematical Society 1985

References

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