Continuity properties of the spectrum of operators on Lebesgue spaces
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- by Bruce A. Barnes PDF
- Proc. Amer. Math. Soc. 106 (1989), 415-421 Request permission
Abstract:
Fix $1 \leq p \leq s \leq \infty$. Let ${T_x},x \in \left [ {p,s} \right ]$, be the collection of bounded linear operators on the Lebesgue spaces ${L^x}$ determined by some fixed operator $T$. This paper concerns continuity properties of the map $x \to \sigma \left ( {{T_x}} \right )$.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 106 (1989), 415-421
- MSC: Primary 47B38; Secondary 47A10
- DOI: https://doi.org/10.1090/S0002-9939-1989-0969515-7
- MathSciNet review: 969515