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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Spectral properties of tensor products of linear operators. II. The approximate point spectrum and Kato essential spectrum
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by Takashi Ichinose PDF
Trans. Amer. Math. Soc. 237 (1978), 223-254 Request permission

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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Additional Information
  • © Copyright 1978 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 237 (1978), 223-254
  • MSC: Primary 47A10
  • DOI: https://doi.org/10.1090/S0002-9947-1978-0479372-0
  • MathSciNet review: 479372