On Hille's spectral theory and operational calculus for semi-groups of operators in Hilbert space

This paper gives a survey of some recent developments in the spectral theory of linear operators on Banach spaces in which the Hilbert transform and its abstract analogues play a fundamental role.

A spectral approach to the Kaplansky problem

Mostafa Mbekhta, Jaroslav Zemánek (2007)

Banach Center Publications

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Generalization of von Neumann's spectral sets and integral representation of operators

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