On the structure of certain bounded linear operators
HTML articles powered by AMS MathViewer
- by G. D. Allen PDF
- Proc. Amer. Math. Soc. 53 (1975), 404-406 Request permission
Abstract:
If every function $f$ in the range of a bounded linear operator on ${L_p}$ is equal to zero on a set of measure greater than a fixed number $\epsilon$, it is shown that there is a common set of measure $\epsilon$ on which every function is zero. A decomposition theorem for such operators is proved.References
- Takeyuki Hida, Canonical representations of Gaussian processes and their applications, Mem. Coll. Sci. Univ. Kyoto Ser. A. Math. 33 (1960/61), 109–155. MR 119246, DOI 10.1215/kjm/1250776062
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 53 (1975), 404-406
- MSC: Primary 46E30; Secondary 60G99
- DOI: https://doi.org/10.1090/S0002-9939-1975-0438098-2
- MathSciNet review: 0438098