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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Tensor products and joint numerical range


Author: A. T. Dash
Journal: Proc. Amer. Math. Soc. 40 (1973), 521-526
MSC: Primary 47A10
DOI: https://doi.org/10.1090/S0002-9939-1973-0336380-9
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.


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DOI: https://doi.org/10.1090/S0002-9939-1973-0336380-9
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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