A spectral mapping theorem for functions of two commuting linear operators
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- by Anthony Trampus
- Proc. Amer. Math. Soc. 14 (1963), 893-895
- DOI: https://doi.org/10.1090/S0002-9939-1963-0156207-1
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References
- M. Hausner, Eigenvalues of cetain operators on matrices, Comm. Pure Appl. Math. 14 (1961), 155–156. MR 146189, DOI 10.1002/cpa.3160140206 Einer Hille and Ralph S. Phillips, Functional analysis and semigroups, Amer. Math. Soc. Colloq. Publ. Vol. 31, Amer. Math. Soc., Providence, R. I., 1957.
- Gunter Lumer and Marvin Rosenblum, Linear operator equations, Proc. Amer. Math. Soc. 10 (1959), 32–41. MR 104167, DOI 10.1090/S0002-9939-1959-0104167-0
- J. Schwartz, Two perturbation formulae, Comm. Pure Appl. Math. 8 (1955), 371–376. MR 82644, DOI 10.1002/cpa.3160080304
- Anthony Trampus, Differentiability and analyticity of functions in linear algebras, Duke Math. J. 27 (1960), 431–441. MR 141987
Bibliographic Information
- © Copyright 1963 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 14 (1963), 893-895
- MSC: Primary 47.30
- DOI: https://doi.org/10.1090/S0002-9939-1963-0156207-1
- MathSciNet review: 0156207