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Proceedings of the American Mathematical Society

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Tensor products and joint numerical range

Author: A. T. Dash
Journal: Proc. Amer. Math. Soc. 40 (1973), 521-526
MSC: Primary 47A10
MathSciNet review: 0336380
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Abstract: It is shown that the joint numerical range of the tensor product of several operators is the cartesian product of their numerical ranges.

References [Enhancements On Off] (What's this?)

  • [1] A. T. Dash, Joint spectra, joint spectral sets and joint numerical range, Ph.D. Thesis, University of Toronto, 1969.
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  • [4] N. Dekker, Ph.D. Thesis, Amsterdam, 1969.
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  • [8] F. TREVES, Topological vector spaces, distributions and kernels, Academic Press, New York, 1967. MR 37 #726. MR 0225131 (37:726)

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Keywords: Algebra of operators, tensor products, convex sets, joint spectrum, joint numerical range, double commutant, commutative Banach algebra, universal property
Article copyright: © Copyright 1973 American Mathematical Society

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