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Spectral properties of tensor products of linear operators. II. The approximate point spectrum and Kato essential spectrum

Spectral properties of tensor products of linear operators. II. The approximate point spectrum and Kato essential spectrum

For tensor products of linear operators, their approximate point spectrum, approximate deficiency spectrum and essential spectra in the sense of T. Kato and Gustafson-Weidmann are determined together with explicit formulae for their nullity and deficiency.The theory applies to A®I+I®B and A® B. Introduction.Given densely defined closed linear operators A and …