References
R. L. Adler andR. Palais, Homeomorphic conjugacy of automorphisms of the torus,Proc. Amer. Math. Soc. 16 (1965), 1222–1225.
J. Auslander, Endomorphisms of minimal sets,Duke Math. J. 30 (1963), 605–614.
G. A. Hedlund, Endomorphisms and automorphisms of the shift dynamical system,Math. Systems Theory 3 (1969), 320–375.
P. R. Halmos,Finite-Dimensional Vector Spaces. Van Nostrand, New York, 1958.
J. P. Ryan,Shift-Commuting, Continuous Transformations, Dissertation, Yale University, 1970.
Author information
Authors and Affiliations
Additional information
This work is from the author's Ph.D. thesis written at the Yale University under the direction of G. A. Hedlund. The work was financially supported by a National Science Foundation Graduate Fellowship and by National Science Foundation contract NSF-GP-16392.
Rights and permissions
About this article
Cite this article
Ryan, J.P. The shift and commutativity. Math. Systems Theory 6, 82–85 (1972). https://doi.org/10.1007/BF01706077
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01706077