Weak spectral theory
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- by M. W. Wong PDF
- Proc. Amer. Math. Soc. 95 (1985), 429-432 Request permission
Abstract:
We initiate the weak spectrum of a linear operator on ${L^p}$ spaces, $1 \leqslant p < \infty$. The weak spectrum of a pseudo-differential operator with symbol in $S_{\alpha \sigma }^m$, where $- \infty < m < \infty$ and $0 \leqslant \rho \leqslant 1$, is investigated.References
- Charles Fefferman, Inequalities for strongly singular convolution operators, Acta Math. 124 (1970), 9–36. MR 257819, DOI 10.1007/BF02394567
- Martin Schechter, Spectra of partial differential operators, 2nd ed., North-Holland Series in Applied Mathematics and Mechanics, vol. 14, North-Holland Publishing Co., Amsterdam, 1986. MR 869254
- M. W. Wong, Spectra of pseudodifferential operators on $L^{p}(\textbf {R}^{n})$, Comm. Partial Differential Equations 4 (1979), no. 12, 1389–1401. MR 551657, DOI 10.1080/03605307908820130
- M. W. Wong, On some exotic pseudodifferential operators, Comm. Partial Differential Equations 5 (1980), no. 7, 733–739. MR 579994, DOI 10.1080/03605308008820151
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 95 (1985), 429-432
- MSC: Primary 35S05; Secondary 47G05
- DOI: https://doi.org/10.1090/S0002-9939-1985-0806082-9
- MathSciNet review: 806082