Tensor products and joint numerical range
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- by A. T. Dash PDF
- Proc. Amer. Math. Soc. 40 (1973), 521-526 Request permission
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
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A. T. Dash, Joint spectra, joint spectral sets and joint numerical range, Ph.D. Thesis, University of Toronto, 1969.
- A. T. Dash, Joint spectra, Studia Math. 45 (1973), 225–237. MR 336381, DOI 10.4064/sm-45-3-225-237 J. Dixmier, Les algèbres d’opéprateurs dans l’espace Hilbertien, Gauthier-Villars, Paris, 1969. N. Dekker, Ph.D. Thesis, Amsterdam, 1969.
- A. T. Dash and M. Schechter, Tensor products and joint spectra, Israel J. Math. 8 (1970), 191–193. MR 261377, DOI 10.1007/BF02771314 A. Guichardet, Tensor products of $C\ast$ -algebras, Lecture Notes Series, nos. 12, 13, Aarhus Universitet, Mathematisk Institut, Denmark, 1969.
- Paul R. Halmos, A Hilbert space problem book, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1967. MR 0208368
- François Trèves, Topological vector spaces, distributions and kernels, Academic Press, New York-London, 1967. MR 0225131
Additional Information
- © Copyright 1973 American Mathematical Society
- 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