A counterexample in the factorization of Banach space operators
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- by Richard Bouldin PDF
- Proc. Amer. Math. Soc. 68 (1978), 327 Request permission
Abstract:
A counterexample is given which completes the Banach space generalization of a theorem of R. G. Douglas concerning the factorization of Hilbert space operators.References
- R. G. Douglas, On majorization, factorization, and range inclusion of operators on Hilbert space, Proc. Amer. Math. Soc. 17 (1966), 413–415. MR 203464, DOI 10.1090/S0002-9939-1966-0203464-1
- Mary R. Embry, Factorization of operators on Banach space, Proc. Amer. Math. Soc. 38 (1973), 587–590. MR 312287, DOI 10.1090/S0002-9939-1973-0312287-8
- R. E. Harte, Berberian-Quigley and the ghost of a spectral mapping theorem, Proc. Roy. Irish Acad. Sect. A 78 (1978), no. 9, 63–68. MR 511397
- Angus E. Taylor, Introduction to functional analysis, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1958. MR 0098966
Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 68 (1978), 327
- MSC: Primary 47A05
- DOI: https://doi.org/10.1090/S0002-9939-1978-0500202-8
- MathSciNet review: 0500202