Some relations between the spectral theory for linear operators and the complex theory of interpolation for families of Banach spaces are studied. An invertibility theorem is proven, and size estimates for the spectra of operators on the interpolation spaces are given.
Spectral theory and complex interpolation / A. Tabacco, M. Vignati. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - 80:2(1988), pp. 383-397.
Spectral theory and complex interpolation
M. VignatiUltimo
1988
Abstract
Some relations between the spectral theory for linear operators and the complex theory of interpolation for families of Banach spaces are studied. An invertibility theorem is proven, and size estimates for the spectra of operators on the interpolation spaces are given.
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