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

Ichinose, Takashi

doi:10.1090/S0002-9947-1978-0479372-0

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

Trans. Amer. Math. Soc. 237 (1978), 223-254

DOI: https://doi.org/10.1090/S0002-9947-1978-0479372-0

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Abstract:

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 $A \otimes I + I \otimes B$ and $A \otimes B$.

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