On the Taylor spectrum of left-right multipliers
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- by Robin Harte and Carlos Hernández
- Proc. Amer. Math. Soc. 126 (1998), 397-404
- DOI: https://doi.org/10.1090/S0002-9939-98-04116-1
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Abstract:
The Taylor spectrum of a mixed pair of multiplication operators is determined on an ultraprime Banach algebra.References
- Raúl E. Curto, Applications of several complex variables to multiparameter spectral theory, Surveys of some recent results in operator theory, Vol. II, Pitman Res. Notes Math. Ser., vol. 192, Longman Sci. Tech., Harlow, 1988, pp. 25–90. MR 976843
- Raúl E. Curto and Lawrence A. Fialkow, The spectral picture of $(L_A,R_B)$, J. Funct. Anal. 71 (1987), no. 2, 371–392. MR 880986, DOI 10.1016/0022-1236(87)90010-3
- R.E. Curto and C. Hernández G., A joint spectral characterization of primeness for $C^{*}$ algebras, Proc. Amer. Math. Soc. (to appear).
- R. E. Harte, Spectral mapping theorems, Proc. Roy. Irish Acad. Sect. A 72 (1972), 89–107. MR 326394
- R. E. Harte, Tensor products, multiplication operators and the spectral mapping theorem, Proc. Roy. Irish Acad. Sect. A 73 (1973), 285–302. MR 328642
- R. E. Harte, Invertibility, singularity and Joseph L. Taylor, Proc. Roy. Irish Acad. Sect. A 81 (1981), no. 1, 71–79. MR 635581
- Robin Harte, Almost exactness in normed spaces, Proc. Amer. Math. Soc. 100 (1987), no. 2, 257–265. MR 884463, DOI 10.1090/S0002-9939-1987-0884463-7
- R.E. Harte, Invertibility and singularity (Dekker New York 1988).
- Robin Harte, Taylor exactness and Kato’s jump, Proc. Amer. Math. Soc. 119 (1993), no. 3, 793–801. MR 1152982, DOI 10.1090/S0002-9939-1993-1152982-7
- Martin Mathieu, Elementary operators on prime $C^*$-algebras. I, Math. Ann. 284 (1989), no. 2, 223–244. MR 1000108, DOI 10.1007/BF01442873
- Joseph L. Taylor, A joint spectrum for several commuting operators, J. Functional Analysis 6 (1970), 172–191. MR 0268706, DOI 10.1016/0022-1236(70)90055-8
Bibliographic Information
- Robin Harte
- Affiliation: School of Mathematics Trinity College, Dublin 2 Ireland
- Email: rharte@maths.tcd.ie
- Carlos Hernández
- Affiliation: Instituto de Matemáticas, UNAM Ciudad Universitaria, México, D.F. 04510 México
- Email: carlosh@matem.unam.mx
- Received by editor(s): July 16, 1996
- Additional Notes: This paper was written while the first named author was visiting the Instituto de Matemáticas, UNAM
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 397-404
- MSC (1991): Primary 46L05, 47A10, 47C15, 18G35, 47D25; Secondary 47A62
- DOI: https://doi.org/10.1090/S0002-9939-98-04116-1
- MathSciNet review: 1423309