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Spectral mapping theorems on a tensor product


Author: Robin Harte
Journal: Bull. Amer. Math. Soc. 79 (1973), 367-372
MSC (1970): Primary 47D99, 46H99; Secondary 47A10, 46M05
DOI: https://doi.org/10.1090/S0002-9904-1973-13170-2
MathSciNet review: 0322510
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  • 1. A. Brown and C. Pearcy, Spectra of tensor products of operators, Proc. Amer. Math. Soc. 17 (1966), 162-169. MR 32 #6218. MR 188786
  • 2. L. A. Coburn and M. Schechter, Joint spectra and interpolation of operators, J. Functional Analysis 2 (1968), 226-237. MR 37 #3364. MR 227780
  • 3. J. Gil de Lamadrid, Uniform cross norms and tensor products of Banach algebras, Duke Math. J. 32 (1965), 359-368. MR 32 #8125. MR 190714
  • 4. P. R. Halmos, A Hilbert space problem book, Van Nostrand, Princeton, N.J., 1967. MR 34 #8178. MR 208368
  • 5. R. E. Harte, Spectral mapping theorems, Proc. Roy. Irish Acad. 72A (1972), 89-107. MR 326394
  • 6. R. E. Harte, The spectral mapping theorem in several variables, Bull. Amer. Math. Soc. 78 (1972), 870-874. MR 298419
  • 7. R. E. Harte, The spectral mapping theorem for quasicommuting systems, Proc. Roy. Irish Acad. 73A (1973), 7-18. MR 318880
  • 8. R. E. Harte, Tensor products, multiplication operators and the spectral mapping theorem, Proc. Roy. Irish Acad. (to appear). MR 328642
  • 9. K. Hoffman and R. Kunze, Linear algebra, Prentice-Hall Math. Ser., Prentice-Hall, Englewood Cliffs, N.J., 1961. MR 23 #A3146. MR 125849
  • 10. G. Lumer and M. Rosenblum, Linear operator equations, Proc. Amer. Math. Soc. 10 (1959), 32-41. MR 21 #2927. MR 104167
  • 11. R. Schatten, A theory of cross-spaces, Ann. of Math. Studies, no. 26, Princeton Univ. Press, Princeton, N.J., 1950. MR 12, 186. MR 36935
  • 12. M. Schechter, On the spectra of operators on tensor products, J. Functional Analysis 4 (1970), 95-99. MR 257782

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DOI: https://doi.org/10.1090/S0002-9904-1973-13170-2

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